The Mechanics and Thermodynamics of Continuous Media / Edition 1

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Overview

From the reviews: "The book is excellent, and covers a very broad area (usually treated as separate topics) from a unified perspective. […] It will be very useful for both mathematicians and physicists." EMS Newsletter

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Editorial Reviews

From the Publisher
From the reviews
"The book is excellent, and covers a very broad area (usually treated as separate topics) from a unified perspective. The author has clearly tried to reduce the mathematical tools to a minimium so as to make the book accessible to readers from the physics community (a more mathematical treatment can be found in his papers). It will be very useful for both mathematicians and physicists." (EMS Newsletter, 1999)
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Product Details

  • ISBN-13: 9783642082047
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 12/6/2010
  • Series: Theoretical and Mathematical Physics Series
  • Edition description: Softcover reprint of hardcover 1st ed. 1997
  • Edition number: 1
  • Pages: 504
  • Product dimensions: 1.05 (w) x 9.21 (h) x 6.14 (d)

Table of Contents

Synopsis 1
1 Elements of Tensor Algebra and Analysis 9
2 Geometry and Kinematics of Continuous Bodies 29
3 Balance Equations 61
4 Material Bodies 89
5 The First Law of Thermodynamics 95
6 The Principle of Material Frame Indifference 101
7 The Second Law of Thermodynamics 109
8 Isotropic Functions 137
9 Constitutive Equations 151
10 The Equilibrium Response 167
11 The Equilibrium Response of Isotropic Bodies 185
12 The Dynamic Response 197
13 The Environment 209
14 Equilibrium States 229
15 Extremum Principles 243
16 Convexity 255
17 Constitutive Inequalities 267
18 Convexity Conditions for Isotropic Functions 295
19 Thermostatics of Fluids 3S1
20 A Local Approach to the Equilibrium of Solids 383
21 Direct Methods in Equilibrium Theory 369
22 Dynamical Thermoelastic and Adiabatic Theories 399
23 Waves in the Referential Description 411
24 Adiabatic Fluid Dynamics 443
25 Dissipation of Energy in Solids 461
References 479
Subject Index 501
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