An Introduction to Continuum Mechanics

Morton E. Gurtin (Eds.)0123097509, 9780123097507, 9780080918495

This book presents an introduction to the classical theories of continuum mechanics; in particular, to the theories of ideal, compressible, and viscous fluids, and to the linear and nonlinear theories of elasticity. These theories are important, not only because they are applicable to a majority of the problems in continuum mechanics arising in practice, but because they form a solid base upon which one can readily construct more complex theories of material behavior. Further, although attention is limited to the classical theories, the treatment is modern with a major emphasis on foundations and structure

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Table of contents :
Content:
Edited by
Page iii

Copyright page
Page iv

Preface
Page ix

Acknowledgments
Page xi

Chapter I Tensor Algebra
Pages 1-17

Chapter II Tensor Analysis
Pages 19-40

Chapter III Kinematics
Pages 41-85

Chapter IV Mass. Momentum
Pages 87-95

Chapter V Force
Pages 97-113

Chapter VI Constitutive Assumptions. Inviscid Fluids
Pages 115-137

Chapter VII Change in Observer. Invariance of Material Response
Pages 139-145

Chapter VIII Newtonian Fluids. The Navier-Stokes Equations
Pages 147-164

Chapter IX Finite Elasticity
Pages 165-198

Chapter X Linear Elasticity
Pages 199-226

Appendix
Pages 227-238

38. General Scheme of Notation
Pages 239-241

References
Pages 243-245

Hints for Selected Exercises
Pages 247-260

Index
Pages 261-265