Elements of Continuum Mechanics and Thermodynamics

Joanne L. Wegner; James B. Haddow

doi:10.1017/CBO9780511805790

This text is intended to provide a modern and integrated treatment of the foundations and applications of continuum mechanics. There is a significant increase in interest in continuum mechanics because of its relevance to microscale phenomena. In addition to being tailored for advanced undergraduate students and including numerous examples and exercises, this text also features a chapter on continuum thermodynamics, including entropy production in Newtonian viscous fluid flow and thermoelasticity. Computer solutions and examples are emphasized through the use of the symbolic mathematical computing program Mathematica®.

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Elements of Continuum Mechanics and Thermodynamics

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Contents

Frontmatter
pp i-iv

Contents
pp v-viii

Preface
pp ix-x

1 - Cartesian Tensor Analysis
pp 1-49

2 - Kinematics and Continuity Equation
pp 50-83

3 - Stress
pp 84-104

4 - Work, Energy, and Entropy Considerations
pp 105-120

5 - Material Models and Constitutive Equations
pp 121-149

6 - Finite Deformation of an Elastic Solid
pp 150-167

7 - Some Problems of Finite Elastic Deformation
pp 168-201

8 - Finite Deformation Thermoelasticity
pp 202-219

9 - Dissipative Media
pp 220-248

APPENDIX 1 - Orthogonal Curvilinear Coordinate Systems
pp 249-262

APPENDIX 2 - Physical Components of the Deformation Gradient Tensor
pp 263-265

APPENDIX 3 - Legendre Transformation
pp 266-268

APPENDIX 4 - Linear Vector Spaces
pp 269-271

Index
pp 272-278

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Elements of Continuum Mechanics and Thermodynamics

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