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SPIRES-BOOKS: FIND KEYWORD CONTINUUM MECHANICS *END*INIT* use /tmp/qspiwww.webspi1/11125.18 QRY 131.225.70.96 . find keyword continuum mechanics ( in books using www Cover
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Call number:9789811019265:ONLINE Show nearby items on shelf
Title:Proceedings of the 7th International Conference on Discrete Element Methods
Author(s):
Date:2017
Size:1 online resource (XLIX, 1455 p. 966 illus p.)
ISBN:9789811019265
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Physics , Computer-aided engineering , Mathematical models , Applied mathematics , Engineering mathematics , Continuum mechanics , Physics , Numerical and Computational Physics, Simulation , Appl.Mathematics/Computational Methods of Engineering , Computer-Aided Engineering (CAD, CAE) and Design , Continuum Mechanics and Mechanics of Materials , Mathematical Modeling and Industrial Mathematics
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Call number:9789402409994:ONLINE Show nearby items on shelf
Title:Lattice Quantum Chromodynamics Practical Essentials
Author(s): Francesco Knechtli
Date:2017
Size:1 online resource (XIII, 140 p. 12 illus., 1 illus. in color p.)
Contents:Quantum Field Theory (QFT) on the Lattice -- A brief history of quarks and gluons -- Classical fields and gauge invariance -- Hamiltonian and path integral formulations of quantum mechanics -- Quantum fields on a lattice -- Recovering
continuum QCD -- Further reading -- Monte Carlo methods -- Markov chain Monte Carlo -- Sampling Yang–Mills gauge fields -- Hybrid Monte Carlo -- Symplectic integration schemes -- Summary and Further reading -- Handling fermions on the
lattice -- Wick contractions -- Sparse Linear Algebra -- Fermion determinant -- HMC with fermions revisited -- The quark propagator from a point source -- All-to-all quark propagators -- Summary and Further reading -- Calculating
observables of quantum fields -- Symmetry properties of creation and annihilation operators -- Techniques for hadron spectroscopy -- Gluons, Wilson Loops and glueballs -- Quarks and hadron physics -- Statistical data analysis --
Summary -- A Notational conventions -- A.1 SU(N) notation -- A.2 Fermions -- A.3 Probability spaces -- References
ISBN:9789402409994
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Physics , Computers , Mathematical physics , Quantum field theory , String theory , Elementary particles (Physics) , Physics , Quantum Field Theories, String Theory , Elementary Particles, Quantum Field Theory , Computing Methodologies , Mathematical Physics
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Call number:9783319445373:ONLINE Show nearby items on shelf
Title:Statistical Physics A Prelude and Fugue for Engineers
Author(s): Roberto Piazza
Date:2017
Size:1 online resource (XV, 453 p. 59 illus p.)
Contents:1 Playing by ear -- 2 The stave and the treble clef -- 3 Easy rhythms and melodies -- 4 Fluid chords -- 5 Scales in crescendo -- 6 Indistinguishable harmonies -- A Mathematical notes -- B Statistical entropy -- C The Boltzmann
equation -- D Brownian motion and diffusion processes
ISBN:9783319445373
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Physics , Chemical engineering , System theory , Condensed matter , Continuum mechanics , Physics , Complex Systems , Condensed Matter Physics , Industrial Chemistry/Chemical Engineering , Continuum Mechanics and Mechanics of Materials , Statistical Physics and Dynamical Systems
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Call number:9783319441474:ONLINE Show nearby items on shelf
Title:Classical Mechanics Hamiltonian and Lagrangian Formalism
Author(s): Alexei Deriglazov
Date:2017
Edition:2nd ed. 2017
Size:1 online resource (XVI, 445 p. 53 illus p.)
Contents:Sketch of Lagrangian Formalism -- Hamiltonian Formalism -- Canonical Transformations of Two-Dimensional Phase Space -- Properties of Canonical Transformations -- Integral Invariants -- Some Mechanical Problems in a Geometric Setting
-- Transformations, Symmetries and Noether Theorem -- Hamiltonian Formalism for Singular Theories -- Classical and Quantum Relativistic Mechanics of a Spinning Particle -- Index
ISBN:9783319441474
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Physics , Applied mathematics , Engineering mathematics , Continuum mechanics , Physics , Classical Mechanics , Theoretical, Mathematical and Computational Physics , Continuum Mechanics and Mechanics of Materials , Applications of Mathematics , Appl.Mathematics/Computational Methods of Engineering
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Call number:TA647.C75::1991:V2 Show nearby items on shelf
Title:Non-linear finite element analysis of solids and structures v.2 Advanced topics
Author(s): M. A. Crisfield
Date:1997
Publisher:Wiley
Contents:More Continuum Mechanics
Non-Orthogonal Coordinates and Co- and Contravariant Tensor Components
More Finite Element Analysis of Continua
Large Strains, Hyperelasticity and Rubber
More Plasticity and Other Material Non-Linearity I. More Plasticity and Other Material Non-Linearity II
Large Rotations
Three-Dimensional Formulations for Beams and Rods
More on Continuum and Shell Elements
Large Strains and Plasticity
Stability Theory
Branch Switching and Further Advanced Solution Procedures
Examples from an Updated Non-Linear Finite Element Computer Program Using Truss Elements
Contact with Friction
Non-Linear Dynamics
ISBN:047195649x
Keywords: Structural analysis (Engineering) Data processing , Finite element method Data processing , Structures Analysis
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Call number:SPRINGER-2016-9788847057739:ONLINE Show nearby items on shelf
Title:Meccanica Razionale
Author(s): Paolo Biscari
Date:2016
Edition:3a edizione
Size:1 online resource (404 p.)
Note:10.1007/978-88-470-5773-9
Contents:1 Cinematica del punto -- 2 Cinematica del corpo rigido -- 3 Cinematica relativa -- 4 Sistemi vincolati -- 5 Geometria delle masse -- 6 Forze, lavoro, potenziale -- 7 Leggi della Meccanica -- 8 Statica -- 9 Dinamica del punto materiale -- 10 Dinami ca dei sistemi -- 11 Dinamica del corpo rigido -- 12 Meccanica Relativa -- 13 Meccanica Langragiana -- 14 Statica dei continui monodimensionali -- 15 Richiami di calcolo
ISBN:9788847057739
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:UNITEXT: 93
Keywords: Mathematics , Applied mathematics , Engineering mathematics , Mathematical physics , Mechanics , Continuum mechanics , Mathematics , Mathematical Physics , Mechanics , Applications of Mathematics , Continuum Mechanics and Mechanics of Materials
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Call number:SPRINGER-2016-9783662494516:ONLINE Show nearby items on shelf
Title:Hyperbolic Conservation Laws in Continuum Physics
Author(s): Constantine M Dafermos
Date:2016
Edition:4th ed. 2016
Size:1 online resource (826 p.)
Note:10.1007/978-3-662-49451-6
ISBN:9783662494516
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Partial differential equations , Mechanics , Fluids , Thermodynamics , Continuum mechanics , Mathematics , Partial Differential Equations , Thermodynamics , Mechanics , Continuum Mechanics and Mechanics of Materials , Fluid- and Aerodynamics
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Call number:SPRINGER-2016-9783662479377:ONLINE Show nearby items on shelf
Title:Vibro-Acoustics, Volume 3
Author(s): Anders Nilsson
Date:2016
Edition:2nd ed. 2016
Size:1 online resource (1 p.)
Note:10.1007/978-3-662-47937-7
Contents:Problems -- Solutions -- Summary of Result
ISBN:9783662479377
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Energy systems , Acoustics , Continuum mechanics , Vibration , Dynamical systems , Dynamics , Noise control , Physics , Acoustics , Energy Systems , Noise Control , Vibration, Dynamical Systems, Control , Continuum Mechanics and Mechanics of Materials
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Call number:SPRINGER-2016-9783662479346:ONLINE Show nearby items on shelf
Title:Vibro-Acoustics, Volume 2
Author(s): Anders Nilsson
Date:2016
Edition:2nd ed. 2016
Size:1 online resource (17 p.)
Note:10.1007/978-3-662-47934-6
Contents:Hamilton’s Principle and Some Other Variational Methods -- Structural Coupling between Simple Systems -- Waves in Fluids -- Fluid Structure Interaction and Radiation of Sound -- Sound Transmission Loss of Panels -- Waveguides --
Random Excitation of Structures -- Transmission of Sound in Built up Structures
ISBN:9783662479346
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Energy systems , Acoustics , Continuum mechanics , Vibration , Dynamical systems , Dynamics , Noise control , Physics , Acoustics , Energy Systems , Noise Control , Vibration, Dynamical Systems, Control , Continuum Mechanics and Mechanics of Materials
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Call number:SPRINGER-2016-9783319401294:ONLINE Show nearby items on shelf
Title:Theoretical Physics 2 Analytical Mechanics
Author(s): Wolfgang Nolting
Date:2016
Size:1 online resource (16 p.)
Note:10.1007/978-3-319-40129-4
Contents:Lagrange Mechanics -- Hamilton Mechanics -- Hamilton-Jacobi Theory -- Solutions of the Exercises
ISBN:9783319401294
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Mechanics , Continuum mechanics , Mechanical engineering , Physics , Mechanics , Mathematical Methods in Physics , Continuum Mechanics and Mechanics of Materials , Mechanical Engineering
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Call number:SPRINGER-2016-9783319401089:ONLINE Show nearby items on shelf
Title:Theoretical Physics 1 Classical Mechanics
Author(s): Wolfgang Nolting
Date:2016
Size:1 online resource (37 p.)
Note:10.1007/978-3-319-40108-9
Contents:Mathematical Preparations -- Mechanics of the Free Mass Point -- Mechanics of Many-Particle Systems -- The Rigid Body -- Solutions of the Eexercises
ISBN:9783319401089
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Mechanics , Continuum mechanics , Physics , Mechanics , Mathematical Methods in Physics , Continuum Mechanics and Mechanics of Materials
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Call number:SPRINGER-2016-9783319316918:ONLINE Show nearby items on shelf
Title:Physics: The Ultimate Adventure
Author(s): Ross Barrett
Date:2016
Size:1 online resource (25 p.)
Note:10.1007/978-3-319-31691-8
Contents:The Whats and Wherefores of Physics -- Dramatis Personae (The Actors) -- Is Physics an Exact Science? -- Newton and Beyond -- Statistical Mechanics and Thermodynamics -- Electromagnetism and Cracks in the Edifice of Classical Physics
-- Relativity -- Quantum Mechanics -- Atomic and Nuclear Physics -- Fields and Particles -- Cosmology -- Complexity -- Conclusions and Philosophical Implications
ISBN:9783319316918
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Quantum physics , Continuum physics , Astronomy , Astrophysics , Cosmology , Elementary particles (Physics) , Quantum field theory , Physics , Astronomy, Astrophysics and Cosmology , History and Philosophical Foundations of Physics , Quantum Physics , Popular Science in Physics , Classical Continuum Physics , Elementary Particles, Quantum Field Theory
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Call number:SPRINGER-2016-9783319216775:ONLINE Show nearby items on shelf
Title:Classical and Quantum Dynamics From Classical Paths to Path Integrals
Author(s): Walter Dittrich
Date:2016
Edition:4th ed. 2016
Size:1 online resource (461 p.)
Note:10.1007/978-3-319-21677-5
Contents:Introduction -- The Action Principles in Mechanics -- The Action Principle in Classical Electrodynamics -- Application of the Action Principles -- Jacobi Fields, Conjugate Points.-Canonical Transformations -- The Hamilton–Jacobi
Equation -- Action-Angle Variables -- The Adiabatic Invariance of the Action Variables -- Time-Independent Canonical Perturbation Theory -- Canonical Perturbation Theory with Several Degrees of Freedom -- Canonical Adiabatic Theory --
Removal of Resonances -- Superconvergent Perturbation Theory, KAM Theorem -- Poincaré Surface of Sections, Mappings -- The KAM Theorem -- Fundamental Principles of Quantum Mechanics -- Functional Derivative Approach -- Examples for
Calculating Path Integrals -- Direct Evaluation of Path Integrals -- Linear Oscillator with Time-Dependent Frequency -- Propagators for Particles in an External Magnetic Field -- Simple Applications of Propagator Functions -- The WKB
Approximation -- Computing the trace -- Partition Function for the Harmonic Oscillator -- Introduction to Homotopy Theory -- Classical Chern–Simons Mechanics -- Semiclassical Quantization -- The “Maslov Anomaly” for the Harmonic
Oscillator.-Maslov Anomaly and the Morse Index Theorem -- Berry’s Phase -- Classical Analogues to Berry’s Phase -- Berry Phase and Parametric Harmonic Oscillator -- Topological Phases in Planar Electrodynamics -- Appendix -- Solutions
-- Index
ISBN:9783319216775
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Mathematical physics , Quantum physics , Continuum physics , Nuclear physics , Physics , Quantum Physics , Classical Continuum Physics , Mathematical Applications in the Physical Sciences , Particle and Nuclear Physics
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Call number:SPRINGER-2016-9781493933815:ONLINE Show nearby items on shelf
Title:Waves and Compressible Flow
Author(s): Hilary Ockendon
Date:2016
Edition:2nd ed. 2016
Size:1 online resource (243 p.)
Note:10.1007/978-1-4939-3381-5
Contents:Introduction -- The Equations of Inviscid Compressible Flow -- Models for Linear Wave Propagation -- Theories for Linear Waves -- Nonlinear Waves in Fluids -- Shock Waves -- Epilogue
ISBN:9781493933815
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Texts in Applied Mathematics: 47
Keywords: Mathematics , Mathematical models , Mathematical physics , Continuum physics , Fluid mechanics , Mathematics , Mathematical Modeling and Industrial Mathematics , Engineering Fluid Dynamics , Classical Continuum Physics , Mathematical Physics
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Call number:SPRINGER-2014-9789462390157:ONLINE Show nearby items on shelf
Title:Mathematical Models for Poroelastic Flows [electronic resource]
Author(s): Anvarbek Meirmanov
Date:2014
Publisher:Paris : Atlantis Press : Imprint: Atlantis Press
Size:1 online resource
Note:The book is devoted to rigorous derivation of macroscopic mathematical models as a homogenization of exact mathematical models at the microscopic level. The idea is quite natural: one first must describe the joint motion of theelastic skeleton and th e fluid in pores at the microscopic level by means of classical continuum mechanics, and then use homogenization to find appropriate approximation models (homogenized equations). The Navier-Stokes equations stillhold at this scale of the pore size in the order of 5 15 microns. Thus, as we have mentioned above, the macroscopic mathematical models obtained are still within the limits of physical applicability. These mathematical modelsdescribe different physical processes of liquid filtration and acoustics in poroelastic media, such as isothermal or non-isothermal filtration, hydraulic shock, isothermal or non-isothermal acoustics, diffusion-convection, filtrationand acoustics in composite media or in porous fractured reservoirs. Our research is based upon the Nguetseng two-scale convergent method
Contents:Isothermal Liquid Filtration
Filtration of a compressible thermo
fluid
Hydraulic shock in incompressible poroelastic media
Double porosity models for a liquid filtration
Filtration in composite incompressible media
Isothermal acoustics in poroelastic media
Non
isothermal acoustics in poroelastic media
Isothermal acoustics in composite media
Double porosity models for acoustics
Diffusion and convection in porous media
The Muskat problem
ISBN:9789462390157
Series:eBooks
Series:SpringerLink
Series:Atlantis Studies in Differential Equations, 2214-6253 : v1
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial , Mathematical physics , Mechanics
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Call number:SPRINGER-2014-9788847028050:ONLINE Show nearby items on shelf
Title:Introduction to Solid State Physics and Crystalline Nanostructures [electronic resource]
Author(s): Giuseppe Iadonisi
Giovanni Cantele
Maria Luisa Chiofalo
Date:2014
Publisher:Milano : Springer Milan : Imprint: Springer
Size:1 online resource
Note:This textbook provides conceptual, procedural, and factual knowledge on solid state and nanostructure physics. It is designed to acquaint readers with key concepts and their connections, to stimulate intuition and curiosity, andto enable the acquisit ion of competences in general strategies and specific procedures for problem solving and their use in specific applications. To these ends, a multidisciplinary approach is adopted, integrating physics, chemistry,and engineering and reflecting how these di sciplines are converging towards common tools and languages in the field. Each chapter discusses essential ideas before the introduction of formalisms and the stepwise addition ofcomplications. Questions on everyday manifestations of the concepts are incl uded, with reasoned linking of ideas from different chapters and sections and further detail in the appendices. The final section of each chapter describesexperimental methods and strategies that can be used to probe the phenomena under discussion. Solid state and nanostructure physics is constantly growing as a field of study where the fascinating quantum world emerges and otherwiseimaginary things can become real, engineered with increasing creativity and control: from tinier and faster technologies rea lizing quantum information concepts, to understanding of the fundamental laws of Physics. Elements of SolidState Physics and of Crystalline Nanostructures will offer the reader an enjoyable insight into the complex concepts of solid state physics
Contents:Crystals and Nanosystems Structure
Electronic structure of nanosystems and crystals
Elements of continuum mechanics and lattice vibrations
Transport and Equilibrium Properties
Optical Properties
Correlations and Density Functional Theory
ISBN:9788847028050
Series:eBooks
Series:SpringerLink
Series:UNITEXT for Physics, 2198-7882
Series:Physics and Astronomy (Springer-11651)
Keywords: Nanochemistry , Crystallography , Mechanical engineering , Nanotechnology
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Call number:SPRINGER-2014-9783642395246:ONLINE Show nearby items on shelf
Title:Modeling and Simulation [electronic resource] : An Application-Oriented Introduction
Author(s): Hans-Joachim Bungartz
Stefan Zimmer
Martin Buchholz
Dirk Pflger
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:This book provides an introduction to mathematical and computer-oriented modeling and to simulation as a universal methodology. It therefore addresses various model classes and their derivations. And it demonstrates the diversityof approaches that ca n be taken: be it discrete or continuous, deterministic or stochastic. A common underlying theme throughout the book are the means in which one obtains practical simulation results from these different abstractmodels. Subsequent to a brief review of the mathematical tools that are required, the concept of the simulation pipeline, from model derivation to the simulation, is applied to 14 example scenarios from diverse fields such asGame theory - deciding - planning, Traffic on highways and data highways, Dynamical systems and Physics in the computer. Whether it is game theory or mathematical finance, traffic or control theory, populationdynamics or chaos, or molecular dynamics, continuum mechanics or computer graphics - the reader gains insight into the world of simulation in a descriptive yet systematic way
Contents:1 Introduction
2 The necessary instruments in brief
Part I Playing deciding planning: A modeling warm
up
3 Game theory
4 Group decisions
5 Schedules
6 Wiener processes
Part II Traffic on highways and data highways: A trip through the simulation pipeline
7 Macroscopic simulation of traffic
8 Microscopic simulation of traffic
9 Stochastic traffic simulations
Part III Dynamic systems: Cause, effect and interaction
10 Population dynamics
11 Controllers
12 Chaos theory
Part IV Physics on the computer: The switch to number crunchers
13 Molecula
ISBN:9783642395246
Series:eBooks
Series:SpringerLink
Series:Springer Undergraduate Texts in Mathematics and Technology, 1867-5506
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer simulation , Computer science Mathematics , Computer science
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Call number:SPRINGER-2014-9783319053110:ONLINE Show nearby items on shelf
Title:Inequalities [electronic resource] : With Applications to Engineering
Author(s): Michael J Cloud
Byron C Drachman
Leonid P Lebedev
Date:2014
Edition:2nd ed. 2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This book offers a concise introduction to mathematical inequalities for graduate students and researchers in the fields of engineering and applied mathematics. It begins by reviewing essential facts from algebra andcalculusandproceeds with a present ation of the central inequalities of applied analysis, illustrating a wide variety of practical applications. The text provides a gentle introduction to abstract spaces, such as metric, normed, andinner product spaces. It also provides full coverage of th e central inequalities of applied analysis, such as Young's inequality, the inequality of the means, Hlder's inequality, Minkowski's inequality, the CauchySchwarzinequality, Chebyshev's inequality, Jensen's inequality, and the triangle inequality. The sec ond edition features extended coverage of applications, including continuum mechanics and interval analysis. It also includes many additionalexamples and exercises with hints and full solutions that may appeal to upper-level undergraduate and graduate stu dents, as well asresearchers in engineering, mathematics, physics, chemistry, or any other quantitative science
Contents:Preface
1. Basic Review and Elementary Facts
2. Methods from the Calculus
3. Some Standard Inequalities
4. Inequalities in Abstract Spaces
5. Some Applications
6. Inequalities for Differential Equations
7. Brief Introduction to Interval Analysis
Hints for Selected Problems
References
Appendix
ISBN:9783319053110
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functions, special , Engineering mathematics
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Call number:SPRINGER-2014-9783319035512:ONLINE Show nearby items on shelf
Title:Soft Solids [electronic resource] : A Primer to the Theoretical Mechanics of Materials
Author(s): Alan D Freed
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Birkhuser
Size:1 online resource
Note:This textbook presents the physical principles pertinent to the mathematical modeling of soft materials used in engineering practice, including both man-made materials and biological tissues. It is intended for seniors andmasters-level graduate stude nts in engineering, physics, or applied mathematics. It will also be a valuable resource for researchers working in mechanics, biomechanics, and other fields where the mechanical response of soft solids isrelevant. Soft Solids: A Primer to the Theoretica l Mechanics of Materials is divided into two parts. Part I introduces the basic concepts needed to give both Eulerian and Lagrangian descriptions of the mechanical response of softsolids. Part II presents two distinct theories of elasticity and their asso ciated theories of viscoelasticity. Seven boundary-value problems are studied over the course of the book, each pertaining to an experiment used to characterizematerials. These problems are discussed at the end of each chapter, giving students the opportu nity to apply what they learned in the current chapter and to build upon the material in prior chapters
Contents:Part I: Continuum Fields
1Kinematics
2Deformation
3Strain
4Stress
Part II: Constitutive Equations
5Explicit Elasticity
6Implicit Elasticity
7Viscoelasticity
Appendices
ALinear Algebra
BCovariant and Contravariant Issues: Configuration Physics
CKronecker Products
DGeneral Linear ODE Solver
E Solver for Convolution Integrals
F Solver for the Mittag
Leer Function
Bibliography
Index
ISBN:9783319035512
Series:eBooks
Series:SpringerLink
Series:Modeling and Simulation in Science, Engineering and Technology, 2164-3679
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Biomaterials
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Call number:SPRINGER-2014-9783319012018:ONLINE Show nearby items on shelf
Title:Modeling of Carbon Nanotubes, Graphene and their Composites [electronic resource]
Author(s): Konstantinos I Tserpes
Nuno Silvestre
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This book containstenchapters,authored by world experts in the field of simulation at nano-scale and aims to demonstrate the potentialities of computational techniques to model the mechanical behavior of nano-materials, suchas carbon nanotubes, graph ene and their composites. A large part of the research currently being conducted in the fields of materials science and engineering mechanics is devoted to carbon nanotubes, graphene and their applications. Inthis process, computational modeling is a very attractive research tool due to the difficulties in manufacturing and testing of nano-materials. Both atomistic modeling methods, such as molecular mechanics and molecular dynamics, andcontinuum modeling methods are being intensively used. Continuum mode ling offers significant advantages over atomistic modeling such as the reduced computational effort, the capability of modeling complex structures and bridgingdifferent analysis scales, thus enabling modeling from the nano- to the macro-scale. On the othe r hand, atomistic modeling is very accurate and can provide detailed information about the effects of material structure such as theinterfaces and functionalization
Contents:Preface
1 Improved mechanical performance of CNTs and CNT fibres in nanocomposites through inter
wall and inter
tube coupling
2 A Review on the Application of Nonlocal Elastic Models in Modeling of Carbon Nanotubes and Graphenes
3 A heterogeneous discrete approach of interfacial effects on multi
scale modelling of carbon nanotube and graphene based composites
4 Effect of Covalent Functionalization on Youngs Modulus of a Single
Wall Carbon Nanotube
5 Multiscale Modeling of Multifunctional Fuzzy Fibers based on Multi
Walled Carbon Nanotubes
6 Geometry
property relation in co
ISBN:9783319012018
Series:eBooks
Series:SpringerLink
Series:Springer Series in Materials Science, 0933-033X : v188
Series:Physics and Astronomy (Springer-11651)
Keywords: Materials
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Call number:SPRINGER-2013-9783642395109:ONLINE Show nearby items on shelf
Title:Physique des coulements Continus [electronic resource]
Author(s): Jean-Paul Caltagirone
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:La mcanique des fluides est aborde sous deux points de vue, physique et mathmatique. Les bases de la mcanique des milieux continus sont d'abord prsentes en dtail en prcisant les hypothses et approximations quiconduisent aux lois de conservation. Les outils d'analyse des quations gnrales, tude en ordres de grandeurs, analyse adimensionnelle et similitude, permettent ensuite d'introduire les approximations de fluide parfait d'Euler,de fluides visqueux en rgime de Stokes et de la couche limite de Prandt l. Les notions de stabilit des coulements, de turbulence et les coulements compressibles sont ensuite prsents. Les coulements multiphysiques ouvrentdes perspectives pour la recherche et le traitement d'applications complexes. In this book, fluid mechanics is addressed from both physical and mathematical perspectives. As a first step, the basic theory of continuum mechanics isdetailed, pointing out the different assumptions and approximations that lead to conservation laws. As a second step, scaling studie s, dimensional analysis and similitude of the general equations help to introduce the inviscid Eulerfluid approximation, the Stokes approximation of viscous flow and Prandtlsboundary layer approximation. Lastly, the concepts of stability, turbulence and c ompressible flows are presented. Multiphysics approach of flows willprovide readers with deeper insights into basic and applied research on complex processing
Note:Springer eBooks
Contents:Gnralits
quations de conservation
Proprits gnrales des quations
Solutions exactes des quations de Navier
Stokes
Dynamique des fluides parfaits
Re
Approximation de Stokes
Re0
La couche limite
e =d /L0
Stabilit, chaos
Turbulence
Les coulements compressibles
Multiphysique
Index.
ISBN:9783642395109
Series:e-books
Series:SpringerLink (Online service)
Series:Mathmatiques et Applications, 1154-483X : v74
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mechanics
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Call number:SPRINGER-2013-9783642382826:ONLINE Show nearby items on shelf
Title:Scattering Theory [electronic resource]
Author(s): Harald Friedrich
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
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Note:Springer 2013 e-book collections
Note:This book presents a concise and modern coverage of scattering theory. It is motivated by the fact that experimental advances have shifted and broadened the scope of applications where concepts from scattering theory are used,e.g. tothe field of ultr acold atoms and molecules, which has been experiencing enormous growth in recent years, largely triggered by the successful realization of Bose-Einstein condensates of dilute atomic gases in 1995. In thepresent treatment, special attention is given to the role played by the long-range behaviour of the projectile-target interaction, and a theory is developed, which is well suited todescribe near-threshold bound and continuum statesin realistic binary systems such as diatomic molecules or molecular ions. Th e level of abstraction is keptas low as at all possible,and deeper questions related tomathematical foundations of scattering theory are passed by. Thebookshould beunderstandable for anyone with a basic knowledge of nonrelativistic quantum mechanics. It i s intended for advanced students and researchers, and it is hoped that it will be useful for theorists and experimentalistsalike
Note:Springer eBooks
Contents:Classical Scattering Theory
Elastic Scattering by aConservative Potential
Internal Excitation, Inelastic Scattering
Special Topics
Scaling
Special Functions
ISBN:9783642382826
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Physics, 0075-8450 : v872
Series:Physics and Astronomy (Springer-11651)
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Call number:SPRINGER-2013-9783642352751:ONLINE Show nearby items on shelf
Title:Domain Decomposition Methods in Science and Engineering XX [electronic resource]
Author(s): Randolph Bank
Michael Holst
Olof Widlund
Jinchao Xu
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:These are the proceedings of the 20th international conference on domain decomposition methods in science and engineering. Domain decomposition methods are iterative methods for solving the often very large linearor nonlinearsystems of algebraic equa tions that arise when various problems in continuum mechanics are discretized using finite elements. They are designed for massively parallel computers and take the memory hierarchy of such systems in mind.This is essential for approaching peak floating p oint performance. There is an increasingly well developed theory whichis having a direct impact on the development and improvements of these algorithms
Note:Springer eBooks
Contents:Preface
Part I: Plenary Presentations
Part II: Minisymposia
Part III: Contributed Presentations
ISBN:9783642352751
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Computational Science and Engineering, 1439-7358 : v91
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer aided design , Differential equations, partial , Computer science Mathematics , Computer science
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Call number:SPRINGER-2013-9783642335969:ONLINE Show nearby items on shelf
Title:Mechanics of Advanced Functional Materials [electronic resource]
Author(s): Biao Wang
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Mechanics of Advanced Functional Materials emphasizes the coupling effect between the electric and mechanical field in the piezoelectric, ferroelectric and other functional materials. It also discusses the size effect on theferroelectric domain insta bility and phase transition behaviors using the continuum micro-structural evolution models. Functional materials usually have a very wide application in engineering due to their unique thermal, electric,magnetic, optoelectronic, etc., functions. Almost a ll the applications demand that the material should have reasonable stiffness, strength, fracture toughness and the other mechanical properties. Furthermore, usually the stress andstrain fields on the functional materials and devices have some important c oupling effect on the functionality of the materials. Much progress has been made concerning the coupling electric and mechanical behaviors such as the coupledelectric and stress field distribution in piezoelectric solids, ferroelectric domain patterns in ferroelectrics, fracture and failure properties under coupled electric and stress field, etc. The book is intended for researchers andpostgraduate students in the fields of mechanics, materials sciences and applied physics who are interested to work on t he interdisciplinary mathematical modeling of the functional materials. Prof. Biao Wang is the Dean of School ofPhysics and Engineering of the Sun Yat-sen University, China. Prof. Biao Wang is the Dean of School of Physics and Engineering of the Sun Yat-s en University, China. Prof. Biao Wang is the Dean of School of Physics and Engineering ofthe Sun Yat-sen University, China
Note:Springer eBooks
Contents:Solutions of elastic and electric fields of piezoelectric materials with inclusions and defects
Micromechanics modeling of piezoelectric composites
Determination of the critical sizes of ferroelectric nanodomains
Size and surface effects on phase transitions in nanoferroelectric materials
Compliant ferroelectric films and strain engineering
Derivation of the Landau
Ginzburg expansion coefficients
Multiferroic materials
Breakdown models in nanoelectronic materials and devices
ISBN:9783642335969
Series:e-books
Series:SpringerLink (Online service)
Series:Advanced Topics in Science and Technology in China, 1995-6819
Series:Physics and Astronomy (Springer-11651)
Keywords: Mechanics , Materials , Optical materials
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Call number:SPRINGER-2013-9783319010328:ONLINE Show nearby items on shelf
Title:Wave Propagation in Nanostructures [electronic resource] : Nonlocal Continuum Mechanics Formulations
Author(s): Srinivasan Gopalakrishnan
Saggam Narendar
Date:2013
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Wave Propagation in Nanostructures describes the fundamental and advanced concepts of waves propagating in structures that have dimensions of the order of nanometers. The book is fundamentally based on non-local elasticity theory,which includes scale effects in the continuum model. The book predominantly addresses wave behavior in carbon nanotubes and graphene structures, although the methods of analysis provided in this text are equally applicable to othernanostructures. The book takes the reader fr om the fundamentals of wave propagation in nanotubes to more advanced topics such as rotating nanotubes, coupled nanotubes, and nanotubes with magnetic field and surface effects. The firstfew chapters cover the basics of wave propagation, different modeli ng schemes for nanostructures and introduce non-local elasticity theories, which form the building blocks for understanding the material provided in later chapters. Anumber of interesting examples are provided to illustrate the important features of wave behavior in these low dimensional structures
Note:Springer eBooks
Contents:Introduction to Nanostructures
Introductory Concepts of Wave Propagation Analysis in Structures
Various Modeling Techniques for Nanostructures
Theory of Nonlocal Elasticity
Material Property and Nonlocal Scale Parameter Estimation for SWCNTs
Wave Propagation in 1D
Nanostructures: Nanorods
Wave Propagation in 1D
Nanostructures: Nanobeams
Wave Propagation in Multi
Walled Carbon Nanotubes
Wave Propagation in Coupled 1D
Nanosystems
Wave Propagation in 2D
Nanostructures
Wave Propagation in Nanoshells
ISBN:9783319010328
Series:e-books
Series:SpringerLink (Online service)
Series:NanoScience and Technology, 1434-4904
Series:Physics and Astronomy (Springer-11651)
Keywords: Mechanics , Materials , Engineering , Nanotechnology
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Call number:SPRINGER-2013-9783034805131:ONLINE Show nearby items on shelf
Title:Nonlinear Partial Differential Equations with Applications [electronic resource]
Author(s): Tom Roubek
Date:2013
Edition:2nd ed. 2013
Publisher:Basel : Springer Basel : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The exposition leads the reader through the general theory based on abstract (pseudo-)monotone or accretive oper ators as fast as possible towards the analysis of concrete differential equations, which have specific applications in continuum (thermo-) mechanics of solids and fluids, electrically (semi-) conductive media,modelling of biological systems, or in mechani cal engineering. Selected parts aremainly an introduction into the subject while some others form an advanced textbook. Thesecond edition simplifies and extends the exposition atparticular spots and augments the applications especially towards thermally coupled systems, magnetism, and more. The intended audience is graduate and PhD students as well as researchers in the theory of partial differential equationsor in mathematical modelling of distributed parameter systems. ------ The monograph contains a w ealth of material in both the abstract theory of steady-state or evolution equations of monotone and accretive type and concreteapplications to nonlinear partial differential equations from mathematical modeling. The organization of the material is well d one, and the presentation, although concise, is clear, elegant and rigorous. () this book is a notableaddition to the existing literature. Also, it certainly will prove useful to engineers, physicists, biologists and other scientists interested in the ana lysis of (...) nonlinear differential models of the real world. (MathematicalReviews)
Note:Springer eBooks
Contents:Preface
Preface to the 2nd edition
Notational conventions
1 Preliminary general material
I Steady
state problems
2 Pseudomonotone or weakly continuous mappings
3 Accretive mappings
4 Potential problems: smooth case
5 Nonsmooth problems variational inequalities
6. Systems of equations: particular examples
II Evolution problems
7 Special auxiliary tools
8 Evolution by pseudomonotone or weakly continuous mappings
9 Evolution governed by accretive mappings
10 Evolution governed by certain set
valued mappings
11 Doubly
nonlinear problems
12 Systems o
ISBN:9783034805131
Series:e-books
Series:SpringerLink (Online service)
Series:International Series of Numerical Mathematics : v153
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional equations , Differential equations, partial , Computer science Mathematics , Numerical analysis
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Call number:SPRINGER-2013-9783034804516:ONLINE Show nearby items on shelf
Title:Recent Trends in Dynamical Systems [electronic resource] : Proceedings of a Conference in Honor of Jrgen Scheurle
Author(s): Andreas Johann
Hans-Peter Kruse
Florian Rupp
Stephan Schmitz
Date:2013
Publisher:Basel : Springer Basel : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
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Note:This book presents the proceedings of a conference on dynamical systems held in honor of Jrgen Scheurle in January 2012. Through both original research papers and survey articles leading experts in the field offer overviews ofthe current state of the theory and its applications to mechanics and physics. In particular, the following aspects of the theory of dynamical systems are covered: - Stability and bifurcation -Geometric mechanics and control theory-Invariant manifolds, attractors and chaos -Flui d mechanics and elasticity -Perturbations and multiscale problems - Hamiltonian dynamics and KAM theory Researchers and graduate students in dynamical systems and related fields,including engineering, will benefit from the articles presented in this volum e. Contributors: Fred C. Adams Henk W. Broer Anthony M. Bloch Tomas Caraballo David R.J. Chillingworth Freddy Dumortier Messoud Efendiev Tor Fl Peter A.Giesl Christoph Glocker Alexandra Goeke John Guckenheimer Sigurdur Hafstein Heinz Hanmann Darryl D. Hol m Hany A. Hosham Eric W. Justh Peter E. Kloeden P. S. Krishnaprasad Martin Kruk Tassilo Kpper Alexander Mielke JamesMontaldi Philip J. Morrison Jonathan Munn Arne B. Nordmark Marius Paicu Tudor S. Ratiu Genevive Raugel Sebastian Reich Michael Renardy Flor ian H.-H. Rupp Bjrn Sandstede Samuel N. Stechmann Tadashi Tokieda Andr VanderbauwhedeSebastian Walcher Daniel Weiss Clemens Woywod Jiangong You Fumin Zhang Anna Zhigun Johannes Zimmer
Note:Springer eBooks
Contents:Part I Stability, Bifurcation & Perturbations
Part II Hamiltonian Dynamics, Geometric Mechanics & Control Theory
Part III Continuum Mechanics: Solids, Fluids and other Materials
ISBN:9783034804516
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v35
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems
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Call number:SPRINGER-2013-9781461459408:ONLINE Show nearby items on shelf
Title:Plasticity [electronic resource] : Mathematical Theory and Numerical Analysis
Author(s): Weimin Han
B. Daya Reddy
Date:2013
Edition:2nd ed. 2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
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Note:This book focuses on the theoretical aspects of small strain theory of elastoplasticity with hardening assumptions. It provides a comprehensive and unified treatment of the mathematical theory and numerical analysis. It isdivided into three parts, wi th the first part providing a detailed introduction to plasticity, the second part covering the mathematical analysis of the elasticity problem, and the third part devoted to error analysis of varioussemi-discrete and fully discrete approximations for var iational formulations of the elastoplasticity. This revised and expanded edition includes material on single-crystal and strain-gradient plasticity. In addition, the entire bookhas been revised to make it more accessible to readers who are actively involv ed in computations but less so in numerical analysis. Reviews of earlier edition: The authors have written an excellent book which can berecommended for specialists in plasticity who wish to know more about the mathematical theory, as well as those with a background in the mathematical sciences who seek a self-contained account of the mechanics and mathematics ofplasticity theory. (ZAMM, 2002) In summary, the book represents an impressive comprehensive overview of the mathematical approach to the theor y and numerics of plasticity. Scientists as well as lecturers and graduate studentswill find the book very useful as a reference for research or for preparing courses in this field. (Technische Mechanik) The book is professionally written and will be a us eful reference to researchers and students interested inmathematical and numerical problems of plasticity. It represents a major contribution in the area of continuum mechanics and numerical analysis. (Math Reviews)
Note:Springer eBooks
Contents:Preface to the Second Edition
Preface to the First Edition
Preliminaries
Continuum Mechanics and Linearized Elasticity
Elastoplastic Media
The Plastic Flow Law in a Convex
Analytic Setting
Basics of Functional Analysis and Function Spaces
Variational Equations and Inequalities
The Primal Variational Problem of Elastoplasticity
The Dual Variational Problem of Classical Elastoplasticity
Introduction to Finite Element Analysis
Approximation of Variational Problems
Approximations of the Abstract Problem
Numerical Analysis of the Primal Problem
References
ISBN:9781461459408
Series:e-books
Series:SpringerLink (Online service)
Series:Interdisciplinary Applied Mathematics, 0939-6047 : v9
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Numerical analysis , Mechanics, applied , Materials
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Call number:SPRINGER-2013-9781461458685:ONLINE Show nearby items on shelf
Title:Functional Analysis in Mechanics [electronic resource]
Author(s): Leonid P Lebedev
Iosif I Vorovich
Michael J Cloud
Date:2013
Edition:2nd ed. 2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book offers a brief, practically complete, and relatively simple introduction to functional analysis. It also illustrates the application of functional analytic methods to the science of continuum mechanics. Abstract butpowerful mathematical not ions are tightly interwoven with physical ideas in the treatment of nontrivial boundary value problems for mechanical objects. This second edition includes more extended coverage of the classical andabstract portions of functional analysis. Taken togethe r, the first three chapters now constitute a regular text on applied functional analysis. This potential use of the book is supported by a significantly extended set of exerciseswith hints and solutions. A new appendix, providing a convenient listing of e ssential inequalities and imbedding results, has been added. The book should appeal to graduate students and researchers in physics, engineering, andapplied mathematics. Reviews of first edition: This book covers functional analysis and its application s to continuum mechanics. The presentation is concise but complete, and is intended for readers in continuum mechanics whowish to understand the mathematical underpinnings of the discipline. . . . Detailed solutions of the exercises are provided in an app endix. (LEnseignment Mathematique, Vol. 49 (1-2), 2003) The reader comes away with aprofound appreciation both of the physics and its importance, and of the beauty of the functional analytic method, which, in skillful hands, has the power to dissolve and clarify these difficult problems as peroxide does clotted blood.Numerous exercises. . .test the readers comprehension at every stage. Summing Up: Recommended. (F. E. J. Linton, Choice, September, 2003)
Note:Springer eBooks
Contents:Introduction
Metric, Banach, and Hilbert Spaces
Mechanics Problems from the Functional Analysis Viewpoint
Some Spectral Problems of Mechanics
Elements of Nonlinear Functional Analysis
Summary of Inequalities and Imbeddings
Hints for Selected Problems
References
In Memoriam: Iosif I. Vorovich
Index
ISBN:9781461458685
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Monographs in Mathematics, 1439-7382
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Differential equations, partial , Mechanics , Materials
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Call number:SPRINGER-2013-9781461451556:ONLINE Show nearby items on shelf
Title:Turbulence and Self-Organization [electronic resource] : Modeling Astrophysical Objects
Author(s): Mikhail Ya Marov
Aleksander V Kolesnichenko
Date:2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book focuses on the development of continuum models of natural turbulent media. It providesa theoretical approach tothesolutions ofdifferent problems related to the formation, structure and evolution of astrophysicaland geophysical objects. A st ochastic modeling approach is used in the mathematical treatment of these problems, which reflects self-organization processes in open dissipative systems. The authors also consider examples of ordering forvarious objects in space throughout their evoluti onary processes. This volume is aimed at graduate students and researchers in the fields of mechanics, astrophysics, geophysics, planetary and space science
Note:Springer eBooks
Contents:Turbulent Chaos and Self
organization in Space and Natural Environments
Basics of Mathematical Modeling of Reactive Gas Mixtures
Closed System of Hydrodynamic Equations for the Description of Turbulent Motion of Multicomponent Media
Differential Models of Closure of the Averaged Hydrodynamic Equations for the Turbulent Chemically
active Continuous Medium
Stochastic
thermodynamic Modeling of the Developed Structural Turbulence
Self
organization of the Developed Turbulence and Mechanisms of Coherent Structure Formation
Basics of Heterogeneous Mechanics with Applications to Accret
ISBN:9781461451556
Series:e-books
Series:SpringerLink (Online service)
Series:Astrophysics and Space Science Library, 0067-0057 : v389
Series:Physics and Astronomy (Springer-11651)
Keywords: Differentiable dynamical systems
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Call number:SPRINGER-2012-9789400725461:ONLINE Show nearby items on shelf
Title:Mechanical Behaviour of Materials [electronic resource] : Volume 1: Micro- and Macroscopic Constitutive Behaviour
Author(s): Dominique Franois
Andr Pineau
Andr Zaoui
Date:2012
Publisher:Dordrecht : Springer Netherlands : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Advances in technology are demanding ever-increasing mastery over the materials being used: the challenge is to gain a better understanding of their behaviour, and more particularly of the relations between their microstructureand their macroscopic p roperties. This work, of which this is the first volume, aims to provide the means by which this challenge may be met. Starting from the mechanics of deformation, it develops the laws governing macroscopicbehaviour expressed as the constitutive equation s always taking account of the physical phenomena which underlie rheological behaviour. The most recent developments are presented, in particular those concerning heterogeneousmaterials such as metallic alloys, polymers and composites. Each chapter is de voted to one of the major classes of material behaviour. As the subtitles indicate, Volume 1 deals with micro- and macroscopic constitutive behaviour andVolume 2 with damage and fracture mechanics. A third volume will be devoted to exercises and their fu ll solutions complementing the content of these two first volumes. Most of the chapters end with a set of exercises, to many of whicheither the full solution or hints on how to obtain this are given each volume is profusely illustrated with explanatory di agrams and with electron-microscope photographs. This book, now in its second edition, has been rigorouslyre-written, updated and modernised for a new generation. The authors improved the existing material, in particular in modifying the organisation, an d added new up-to-date content. Understanding the subject matter requires a goodknowledge of solid mechanics and materials science the main elements of these fields are given in a set of annexes at the end of the first volume. The authors also thought it interesting for the readers to give as footnotes someinformation about the many scientists whose names are attached to theories and formulae and whose memories must be celebrated. Whils
Note:Springer eBooks
Contents:Foreword
Chapter 1 Introduction
Chapter 2 Elastic behaviour
Chapter 3 Elastoplasticity
Chapter 4 Elastoviscoplasticity
Chapter 5 Viscoelasticity
Annex I Atomic and molecular structures
Annex II Phase transformations
Annex III Continuum mechanics: basic concepts and equations
Tables 1
Tables 2
Notations
Author Index
Subject Index
ISBN:9789400725461
Series:e-books
Series:SpringerLink (Online service)
Series:Solid Mechanics and Its Applications, 0925-0042 : v180
Series:Physics and Astronomy (Springer-11651)
Keywords: Mechanics , Crystallography , Mechanical engineering
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Call number:SPRINGER-2012-9783642334504:ONLINE Show nearby items on shelf
Title:Friction Material Composites [electronic resource]
Author(s): K. L. Sundarkrishnaa
Date:2012
Publisher:Springer Berlin Heidelberg
Size:1 online resource
Note:Professional book
Note:Springer 2012 Physics and Astronomy eBook collection
Note:Springer e-book platform
ISBN:9783642334504
Series:Springer Series in Materials Science
Series:e-books
Keywords: Automotive Engineering , Continuum Mechanics and Mechanics of Materials , Ceramics, Glass, Composites, Natural Materials , Nanotechnology , Surface and Interface Science, Thin Films
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Call number:SPRINGER-2012-9783642325342:ONLINE Show nearby items on shelf
Title:Shock Wave Compression of Condensed Matter [electronic resource]
Author(s): Jerry W. Forbes
Date:2012
Publisher:Springer Berlin Heidelberg
Size:1 online resource
Note:Graduate/advanced undergraduate textbook
Note:Springer 2012 Physics and Astronomy eBook collection
Note:Springer e-book platform
ISBN:9783642325342
Series:Shock Wave and High Pressure Phenomena
Series:e-books
Keywords: Continuum Mechanics and Mechanics of Materials , Condensed Matter Physics , Thermodynamics , Engineering Thermodynamics, Heat and Mass Transfer
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Call number:SPRINGER-2012-9783642252952:ONLINE Show nearby items on shelf
Title:Mathematical Modeling for Complex Fluids and Flows [electronic resource]
Author(s): Michel O Deville
Thomas B Gatski
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Mathematical Modeling for Complex Fluids and Flows provides researchers and engineering practitioners encountering fluid flows with state-of-the-art knowledge in continuum concepts and associated fluid dynamics. In doing so itsupplies the means to de sign mathematical models of these flows that adequately express the engineering physics involved. It exploits the implicit link between the turbulent flow of classical Newtonian fluids and the laminar andturbulent flow of non-Newtonian fluids such as thos e required in food processing and polymeric flows. The book develops a descriptive mathematical model articulated through continuum mechanics concepts for these non-Newtonian,viscoelastic fluids and turbulent flows. Each complex fluid and flow is examined in this continuum context as well as in combination with the turbulent flow of viscoelastic fluids. Some details are also explored via kinetic theory,especially viscoelastic fluids and their treatment with the Boltzmann equation. Both solution and modeli ng strategies for turbulent flows are laid out using continuum concepts, including a description of constructing polynomialrepresentations and accounting for non-inertial and curvature effects. Ranging from fundamental concepts to practical methodology, a nd including discussion of emerging technologies, this book is ideal for those requiring asingle-source assessment of current practice in this intricate yet vital field
Note:Springer eBooks
Contents:1. Introduction
2. Tensor Analysis, Invariants, and Representations
3. Kinematics and Dynamics
4. Constitutive Equations: General Principles
5. Non
Newtonian and Viscoelastic Fluids
6. Turbulent Flows
7. The Boltzmann Equation
8. Properties of the Hermite Polynomials
Table of symbols
References
ISBN:9783642252952
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer simulation
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Call number:SPRINGER-2012-9783642246098:ONLINE Show nearby items on shelf
Title:Phase Change in Mechanics [electronic resource]
Author(s): Michel Frmond
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Predictive theories of phenomena involving phase change with applications in engineering are investigated in this volume, e.g. solid-liquid phase change, volume and surface damage, and phase change involving temperaturediscontinuities. Many other pha se change phenomena such as solid-solid phase change in shape memory alloys and vapor-liquid phase change are also explored. Modeling is based on continuum thermo-mechanics. This involves a renewedprinciple of virtual power introducing the power of the mi croscopic motions responsible for phase change. This improvement yields a new equation of motion related to microscopic motions, beyond the classical equation of motion formacroscopic motions. The new theory sensibly improves the phase change modeling. Fo r example, when warm rain falls on frozen soil, the dangerous black ice phenomenon can be comprehensively predicted. In addition, novel equationspredict the evolution of clouds, which are themselves a mixture of air, liquid water and vapor
Note:Springer eBooks
Contents:1 Introduction
2 The State Quantities and the Quantities Describing the Evolution
3 The Basic Laws of Mechanics
4 Solid
liquid Phase Change
5 Shape Memory Alloys
6 Damage
7 Contact with Adhesion
8 Damage of Solids Glued on One Another. Coupling of Volume and Surface Damages
9 Phase Change with Discontinuity of Temperature: Warm Water in Contact with Cold Ice
10 Phase Change and Collisions
11 Collisions of Deformable Bodies and Phase Change
12 Phase Change Depending on a State Quantity: Liquid
vapor Phase Change
13 Clouds: Mixture of Air, Vapor and Liquid Wat
ISBN:9783642246098
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes of the Unione Matematica Italiana, 1862-9113 : v13
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Meteorology , Materials , Environmental protection
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Call number:SPRINGER-2012-9783642193729:ONLINE Show nearby items on shelf
Title:Advances in Soft Matter Mechanics [electronic resource]
Author(s): Shaofan Li
Bohua Sun
Date:2012
Publisher:Springer Berlin Heidelberg
Size:1 online resource
Note:Monograph
Note:Springer 2012 Physics and Astronomy eBook collection
Note:Springer e-book platform
ISBN:9783642193729
Series:e-books
Keywords: Soft and Granular Matter, Complex Fluids and Microfluidics , Biomaterials , Continuum Mechanics and Mechanics of Materials , Polymer Sciences
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Call number:SPRINGER-2012-9781461416920:ONLINE Show nearby items on shelf
Title:Thermodynamics of Materials with Memory [electronic resource] : Theory and Applications
Author(s): Giovambattista Amendola
Mauro Fabrizio
John Murrough Golden
Date:2012
Publisher:Boston, MA : Springer US
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This is a work in four parts, dealing with the mechanics and thermodynamics of materials with memory, including properties of the dynamical equations which describe their evolution in time under varying loads. The first part is anintroduction to Cont inuum Mechanics with sections dealing with classical Fluid Mechanics and Elasticity, linear and non-linear. The second part is devoted to Continuum Thermodynamics, which is used to derive constitutive equations ofmaterials with memory, including viscoelas tic solids, fluids, heat conductors and some examples of non-simple materials. In part three, free energies for materials with linear memory constitutive relations are comprehensively explored.The new concept of a minimal state is also introduced. Formula e derived over the last decade for the minimum and related free energies are discussed in depth. Also, a new single integral free energy which is a functional of the minimalstate is analyzed in detail. Finally, free energies for examples of non-simple mat erials are considered. In the final part, existence, uniqueness and stability results are presented for the integrodifferential equations describing thedynamical evolution of viscoelastic materials. A new approach to these topics, based on the use of mini mal states rather than histories, is discussed in detail. There are also chapters on the controllability of thermoelastic systemswith memory, the Saint-Venant problem for viscoelastic materials and on the theory of inverse problems
Note:Springer eBooks
Contents:Introduction to Continuum
Materials with Constitutive Equations That Are Local in Time
Principles of Thermodynamics
Free Energies and the Dissipation Principle
Thermodynamics of Materials with Memory
A Linear Memory Model
Viscoelastic Solids and Fluids
Heat Conductors
Free Energies on Special Classes of Material
The Minimum Free Energy
Representation of the Minimum Free Energy in the Time Domain
Minimum Free Energy for Viscoelastic Solids, Fluids, and Heat Conductors
The Minimum Free Energy for a Continuous
Spectrum Material
The Minimum Free Energy for a Finite
M
ISBN:9781461416920
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mechanics , Materials , Surfaces (Physics)
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Call number:SPRINGER-2012-9781461409250:ONLINE Show nearby items on shelf
Title:Biomimetics in Materials Science [electronic resource]
Author(s): Michael Nosonovsky
Pradeep K. Rohatgi
Date:2012
Edition:1
Publisher:Springer New York
Size:1 online resource
Note:Monograph
Note:Springer 2012 Physics and Astronomy eBook collection
Note:Springer e-book platform
ISBN:9781461409250
Series:Springer Series in Materials Science
Series:e-books
Keywords: Continuum Mechanics and Mechanics of Materials , Polymer Sciences , Tribology, Corrosion and Coatings , Ceramics, Glass, Composites, Natural Materials , Metallic Materials
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Call number:SPRINGER-2012-9780387878157:ONLINE Show nearby items on shelf
Title:Dissipative Ordered Fluids [electronic resource] : Theories for Liquid Crystals
Author(s): Andre M Sonnet
Epifanio G Virga
Date:2012
Publisher:Boston, MA : Springer US
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This is a book on the dissipative dynamics of ordered fluids, with a particular focus on liquid crystals. It covers a whole range of different theories, mainly concerned with nematic liquid crystals in both their chiral andnonchiral variants. The aut hors begin by giving a detailed account of the molecular origins of orientational order in fluids. They then go on to develop a general framework in which continuum theories for ordered fluids can be phrased.Within this unified setting, they cover both we ll-established classical theories and new ones with aspects that are not yet completely settled. The book treats a wide range of hydrodynamic theories for liquid crystals, from theoriginal 1960s works by Ericksen and Leslie to new, fast-developing ideas o f liquid crystal science. The final chapter is devoted to nematoacoustics and its applications. Old experiments on the propagation of ultrasound waves innematic liquid crystals are interpreted and explained in the light of a new theory developed within th e general theoretical infrastructure proposed in the body of the book. This book is intended both for graduate students andprofessional scholars in mathematics, physics, and engineering of advanced materials. It delivers a solid framework for liquid cryst al hydrodynamics and shows the unifying concepts at the basis of the classical theories. It illustrateshow these concepts can also be applied to a wide variety of modern topics. Andre M. Sonnet is in the Department of Mathematics and Statistics at the Uni versity of Strathclyde, Glasgow (Scotland) and Epifanio G. Virga is in theDepartment of Mathematics at the University of Pavia (Italy). They have a long history of working together in liquid crystal science and have contributed, in particular, to the theo ries of defects and biaxial nematics
Note:Springer eBooks
Contents:Molecular Theories
Dynamics of Dissipative Fluids
Director Theories
Order Tensor Theories
Nematoacoustics
Notation and Basic Concepts
References
Index
ISBN:9780387878157
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mechanics
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Call number:SPRINGER-2011-9783642110900:ONLINE Show nearby items on shelf
Title:Non-linear Continuum Theories in Mechanics and Physics and their Applications [electronic resource]
Author(s): R.S Rilvil
Date:2011
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:P.A. Blythe: Non-linear far-field theories in relaxing gas flows.- Meixner: Thermodynamics of deformable materials.- A.C. Pipkin: Non-linear phenomena in continua.- R.S. Rivlin: An introduction to non-linear continuum mechanics.-G.F. Smith: The gener ation of integrity bases
Note:Springer eBooks
Contents:P.A. Blythe: Non
linear far
field theories in relaxing gas flows
Meixner: Thermodynamics of deformable materials
A.C. Pipkin: Non
linear phenomena in continua
R.S. Rivlin: An introduction to non
linear continuum mechanics
G.F. Smith: The generation of integrity bases
ISBN:9783642110900
Series:e-books
Series:SpringerLink (Online service)
Series:C.I.M.E. Summer Schools : v50
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial , Mechanics , Thermodynamics , Materials
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Call number:SPRINGER-2011-9783642110665:ONLINE Show nearby items on shelf
Title:Wave Propagation [electronic resource]
Author(s): Giorgio Ferrarese
Date:2011
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Lectures: A. Jeffrey: Lectures on nonlinear wave propagation.- Y. Choquet-Bruhat: Ondes asymptotiques.- G. Boillat: Urti.- Seminars: D. Graffi: Sulla teoria dellottica non-lineare.- G. Grioli: Sulla propagazione del calore neimezzi continui.- T. Mana corda: Onde nei solidi con vincoli interni.- T. Ruggeri: Entropy principle and main field for a non linear covariant system.- B. Straughan: Singular surfaces in dipolar materials and possible consequencesfor continuum mechanics
Note:Springer eBooks
Contents:Lectures: A. Jeffrey: Lectures on nonlinear wave propagation
Y. Choquet
Bruhat: Ondes asymptotiques
G. Boillat: Urti
Seminars: D. Graffi: Sulla teoria dellottica non
lineare
G. Grioli: Sulla propagazione del calore nei mezzi continui
T. Manacorda: Onde nei solidi con vincoli interni
T. Ruggeri: Entropy principle and main field for a non linear covariant system
B. Straughan: Singular surfaces in dipolar materials and possible consequences for continuum mechanics
ISBN:9783642110665
Series:e-books
Series:SpringerLink (Online service)
Series:C.I.M.E. Summer Schools : v81
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial
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Call number:SPRINGER-2011-9783642110337:ONLINE Show nearby items on shelf
Title:Non-linear Continuum Theories [electronic resource]
Author(s): G Grioli
C Truesdell
Date:2011
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:B. Coleman, M.E. Gurtin: Thermodynamics and wave propagation in Elastic and Viscoelastic media.- L. De Vito: Sui fondamenti della meccanica di sistemi continui (II).- G. Fichera: Problemi elastostatici con ambigue condizioni alcontorno.- G. Grioli: S istemi a trasformazioni reversibili.- W. Noll: the foundations of mechanics.- R.A. Toupin: Elasticity and electromagnetic.- C.C. Wang: Subfluids
Note:Springer eBooks
Contents:B. Coleman, M.E. Gurtin: Thermodynamics and wave propagation in Elastic and Viscoelastic media
L. De Vito: Sui fondamenti della meccanica di sistemi continui (II)
G. Fichera: Problemi elastostatici con ambigue condizioni al contorno
G. Grioli: Sistemi a trasformazioni reversibili
W. Noll: the foundations of mechanics
R.A. Toupin: Elasticity and electromagnetic
C.C. Wang: Subfluids
ISBN:9783642110337
Series:e-books
Series:SpringerLink (Online service)
Series:C.I.M.E. Summer Schools : v36
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial , Thermodynamics , Materials , Microwaves
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Call number:SPRINGER-2011-9783642110184:ONLINE Show nearby items on shelf
Title:Propriet di media e teoremi di confronto in fisica matematica [electronic resource]
Author(s): Giuseppe Grioli
Date:2011
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Lectures: B. Coleman: On global and local forms of the second law of thermodynamics.- J. Serrin: Comparison and averaging methods in mathematical physics.- H. Ziegler: Thermodynamic aspects of continuum mechanics.- Seminars: C.Agostinelli: I. Un teor ema di media sul flusso di energia nel moto di un fluido di alta conduttivit elettrica in cui si genera un campo magnetico. II. Su alcuni teoremi di media in magnetofluidodinamica nel caso stazionario.- D.Graffi: I. Principi di minimo e variazionali nel c ampo elettromagnetico. II. Teoremi di reciprocit nei fenomeni non stazionari.- G. Grioli: I. Propriet generali di media nella meccanica dei continui e loro applicazioni. II.Problemi di integrazione nella teoria dellequilibrio elastico
Note:Springer eBooks
ISBN:9783642110184
Series:e-books
Series:SpringerLink (Online service)
Series:C.I.M.E. Summer Schools : v31
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial , Thermodynamics , Materials
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Call number:SPRINGER-2011-9781441970558:ONLINE Show nearby items on shelf
Title:Partial Differential Equations I [electronic resource] : Basic Theory
Author(s): Michael E Taylor
Date:2011
Edition:2
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The first of three volumes on partial differential equations, this one introduces basic examples arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for theirsolution, in particular Fouri er analysis, distribution theory, and Sobolev spaces. These tools are then applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as wellas more general elliptic, parabolic, and hyperbol ic equations. The book is targeted at graduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics,differential geometry, harmonic analysis, and complex analysis. In this seco nd edition, there are seven new sections including Sobolev spaces on rough domains, boundary layer phenomena for the heat equation, the space ofpseudodifferential operators of harmonic oscillator type, and an index formula for elliptic systems of such ope rators. In addition, several other sections have been substantially rewritten, and numerous others polished to reflectinsights obtained through the use of these books over time. Michael E. Taylor is a Professor of Mathematics at the University of North Ca rolina, Chapel Hill, NC. Review of first edition: These volumes will be read by severalgenerations of readers eager to learn the modern theory of partial differential equations of mathematical physics and the analysis in which this theory is rooted. (SIAM Review, June 1998)
Note:Springer eBooks
ISBN:9781441970558
Series:e-books
Series:SpringerLink (Online service)
Series:Applied Mathematical Sciences, 0066-5452 : v115
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial
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Call number:SPRINGER-2011-9781441970497:ONLINE Show nearby items on shelf
Title:Partial Differential Equations III [electronic resource] : Nonlinear Equations
Author(s): Michael E Taylor
Date:2011
Edition:2
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The third of three volumes on partial differential equations, this is devoted to nonlinear PDE. It treats a number of equations of classical continuum mechanics, including relativistic versions, as well as various equationsarising in differential geo metry, such as in the study of minimal surfaces, isometric imbedding, conformal deformation, harmonic maps, and prescribed Gauss curvature. In addition, some nonlinear diffusion problems are studied. It alsointroduces such analytical tools as the theory o f L^p Sobolev spaces, Holder spaces, Hardy spaces, and Morrey spaces, and also a development of Calderon-Zygmund theory and paradifferential operator calculus. The book is targeted atgraduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis. In this second edition, thereare seven new sections including Sobolev spaces on rough domains, boundary layer phenomena f or the heat equation, an extension of complex interpolation theory, and Navier-Stokes equations with small viscosity. In addition, severalother sections have been substantially rewritten, and numerous others polished to reflect insights obtained through t he use of these books over time. Michael E. Taylor is a Professor of Mathematics at the University of North Carolina,Chapel Hill, NC. Review of first edition: These volumes will be read by several generations of readers eager to learn the modern theory of partial differential equations of mathematical physics and the analysis in which this theoryis rooted.(SIAM Review, June 1998)
Note:Springer eBooks
ISBN:9781441970497
Series:e-books
Series:SpringerLink (Online service)
Series:Applied Mathematical Sciences, 0066-5452 : v117
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial
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Call number:SPRINGER-2010-9783642116575:ONLINE Show nearby items on shelf
Title:Lois de Conservations Eulriennes, Lagrangiennes et Mthodes Numriques [electronic resource]
Author(s): Bruno Desprs
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Les systmes de lois de conservation non linaires modlisent les coulements compressibles et incompressibles dans des domaines extrmement varis tels que l'aronautique, l'hydrodynamique, la physique des plasmas, lacombustion, le trafic routier, l'lastic it non linaire. Le cadre mathmatique gnral est celui des systmes de lois de conservation. Les exemples physiques sont nombreux et souvent spectaculaires. Cela contribue fonder unenouvelle discipline, la Mcanique des Fluides Numrique. La prsentation propo se porte l'accent sur les systmes que l'on appellera lagrangiens ou crits en coordonnes de Lagrange, sur leurs relations avec les systmes encoordonnes d'Euler et sur les possibilits que cela offre pour la construction et l'analyse de schmas numriques entr opiques. De nombreux exemples numriques sont prsents en liaison avec le contexte physique, ainsi que desexercices. It has long been observed that systems of conservation laws written in the Lagrange variable offer a good alternative for the numerical comp utation of approximate solutions. In this monograph we seek to develop a systematicpresentation of the use of the Lagrange variable for the analysis and discretization of systems of conservation laws arising in continuum mechanics
Note:Springer eBooks
Contents:Modles
tude dune loi de conservation
Systmes
Le systme de la dynamique des gaz compressibles
Solveurs lagrangiens un tat et deux tats
Systmes lagrangiens multidimensionnels
ISBN:9783642116575
Series:e-books
Series:SpringerLink (Online service)
Series:Mathmatiques et Applications, 1154-483X : v68
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics
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Call number:SPRINGER-2010-9783642053702:ONLINE Show nearby items on shelf
Title:Mechanics [electronic resource] : From Newton's Laws to Deterministic Chaos
Author(s): Florian Scheck
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book covers all topics in mechanics from elementary Newtonian mechanics, the principles of canonical mechanics and rigid body mechanics to relativistic mechanics and nonlinear dynamics. It was among the first textbooks toinclude dynamical system s and deterministic chaos in due detail. As compared to the previous editions the present fifth edition is updated and revised with more explanations, additional examples and sections on Noether's theorem.Symmetries and invariance principles, the basic ge ometric aspects of mechanics as well as elements of continuum mechanics also play an important role. The book will enable the reader to develop general principles from which equationsof motion follow, to understand the importance of canonical mechanics an d of symmetries as a basis for quantum mechanics, and to get practice in using general theoretical concepts and tools that are essential for all branches ofphysics. The book contains more than 120 problems with complete solutions, as well as some practica l examples which make moderate use of personal computers. This will be appreciated in particular by students using this textbook toaccompany lectures on mechanics. The book ends with some historical notes on scientists who made important contributions to the development of mechanics
Note:Springer eBooks
Contents:Elementary Newtonian Mechanics
The Principles of Canonical Mechanics
The Mechanics of Rigid Bodies
Relativistic Mechanics
Geometric Aspects of Mechanics
Stability and Chaos
Continuous Systems
Exercises
Solution of Exercises
ISBN:9783642053702
Series:e-books
Series:SpringerLink (Online service)
Series:Graduate Texts in Physics, 1868-4513
Series:Physics and Astronomy (Springer-11651)
Keywords: Differentiable dynamical systems , Mathematics , Mathematical physics , Mechanics , Mechanics, applied
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Call number:SPRINGER-2010-9783642051951:ONLINE Show nearby items on shelf
Title:The General Theory of Homogenization [electronic resource] A Personalized Introduction
Author(s): Luc Tartar
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Homogenization is not about periodicity, or Gamma-convergence, but about understanding which effective equations to use at macroscopic level, knowing which partial differential equations govern mesoscopic levels, without usingprobabilities (which des troy physical reality) instead, one uses various topologies of weak type, the G-convergence of Sergio Spagnolo, the H-convergence of Franois Murat and the author, and some responsible for the appearance ofnonlocal effects, which many theories in continuum mechanics or physics guessed wrongly. For a better understanding of 20th century science, new mathematical tools must be introduced, like the authors H-measures, variants by PatrickGrard, and others yet to be discovered
Note:Springer eBooks
Contents:Why Do I Write?
A Personalized Overview of Homogenization I
A Personalized Overview of Homogenization II
An Academic Question of Jacques
Louis Lions
A Useful Generalization by Franois Murat
Homogenization of an Elliptic Equation
The DivCurl Lemma
Physical Implications of Homogenization
A Framework with Differential Forms
Properties of H
Convergence
Homogenization of Monotone Operators
Homogenization of Laminated Materials
Correctors in Linear Homogenization
Correctors in Nonlinear Homogenization
Holes with Dirichlet Conditions
Holes with Neuman
ISBN:9783642051951
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes of the Unione Matematica Italiana, 1862-9113 : v7
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial , Mechanics , Hydraulic engineering
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Call number:SPRINGER-2010-9783642040481:ONLINE Show nearby items on shelf
Title:Hyperbolic Conservation Laws in Continuum Physics [electronic resource]
Author(s): Constantine M Dafermos
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This is a masterly exposition and an encyclopedic presentation of the theory of hyperbolic conservation laws. It illustrates the essential role of continuum thermodynamics in providing motivation and direction for the developmentof the mathematical t heory while also serving as the principal source of applications. The reader is expected to have a certain mathematical sophistication and to be familiar with (at least) the rudiments of analysis and thequalitative theory of partial differential equations , whereas prior exposure to continuum physics is not required. The target group of readers would consist of (a) experts in the mathematical theory of hyperbolic systems ofconservation laws who wish to learn about the connection with classical physics (b) specialists in continuum mechanics who may need analytical tools (c) experts in numerical analysis who wish to learn the underlying mathematicaltheory and (d) analysts and graduate students who seek introduction to the theory of hyperbolic systems of cons ervation laws. New to the 3rd edition is an account of the early history of the subject, spanning the period between 1800to 1957. Also new is a chapter recounting the recent solution of open problems of long standing in classical aerodynamics. Furthermore , the presentation of a number of topics in the previous edition has been revised and brought up todate, and the collection of applications has been substantially enriched. The bibliography, also expanded and updated, now comprises over fifteen hundred ti tles. From the reviews of the 2nd edition: The author is known as one of theleading experts in the field. His masterly written book is, surely, the most complete exposition in the subject. Evgeniy Panov, Zentralblatt MATH This book is sure to convince eve ry reader that working in this area is challenging,enlightening, and joyful. Katarina Jegdic, SIAM Review
Note:Springer eBooks
Contents:Preface
Acknowledgments
Introduction
A Sketch of the Early History of Hyperbolic Conservation Laws
I.Balance Laws
II.Introduction to Continuum Physics
III.Hyperbolic Systems of Balance Laws
IV.The Cauchy Problem
V.Entropy and the Stability of Classical Solutions
VI.The L1 Theory for Scalar Conservation Laws
VII.Hyperbolic Systems of Balance Laws in One
Space Dimension
VIII.Admissible Shocks
IX.AdmissibleWave Fans and the Riemann Problem
X.Generalized Characteristics
XI.Genuinely Nonlinear Scalar Conservation Laws
XII.Genuinely Nonlinear Systems of T
ISBN:9783642040481
Series:e-books
Series:SpringerLink (Online service)
Series:Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 0072-7830 : v325
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial , Mechanics , Thermodynamics , Materials , Mechanical engineering
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Call number:SPRINGER-2010-9783540856108:ONLINE Show nearby items on shelf
Title:Theoretical Molecular Biophysics [electronic resource]
Author(s): Philipp Scherer
Sighart F Fischer
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Theoretical Molecular Biophysics is an advanced study book for students, shortly before or after completing undergraduate studies, in physics, chemistry or biology. It provides the tools for an understanding of elementaryprocesses in biology, such as photosynthesis on a molecular level. A basic knowledge in mechanics, electrostatics, quantum theory and statistical physics is desirable. The reader will be exposed to basic concepts in modern biophysicssuch as entropic forces, phase separation, potentia ls of mean force, proton and electron transfer, heterogeneous reactions coherent and incoherent energy transfer as well as molecular motors. Basic concepts such as phase transitions ofbiopolymers, electrostatics, protonation equilibria, ion transport, rad iationless transitions as well as energy- and electron transfer are discussed within the frame of simple models
Note:Springer eBooks
Contents:Statistical Mechanics of Biopolymers
Random Walk Models for the Conformation
FloryHuggins Theory for Biopolymer Solutions
Protein Electrostatics and Solvation
Implicit Continuum Solvent Models
DebyeHckel Theory
Protonation Equilibria
Reaction Kinetics
Formal Kinetics
Kinetic Theory: FokkerPlanck Equation
Kramers Theory
Dispersive Kinetics
Transport Processes
Nonequilibrium Thermodynamics
Simple Transport Processes
Ion Transport Through a Membrane
ReactionDiffusion Systems
Reaction Rate Theory
Equilibrium Reactions
Calcul
ISBN:9783540856108
Series:e-books
Series:SpringerLink (Online service)
Series:Biological and Medical Physics, Biomedical Engineering, 1618-7210
Series:Physics and Astronomy (Springer-11651)
Keywords: Quantum theory , Mathematical physics , Engineering , Biomedical engineering
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