An Introduction to Continuum Mechanics

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I am of the school that there is no "best" book on any subject matter. Rather, the serious student should look for a spanning set of texts. Defining "best" requires a point of reference and it it clear that a beginner is looking for something different than a researcher. In any case, let me say that if you have taken a beginning course in continuum mechanics, this is an excellent second book. To give this book to a novice and expect them to learn the subject would be like giving Foundations of Mechanics by Marsden to someone and say "go learn classical mechanics". Of all the classics, I think it is best to start with Malvern. It is a good place to absorb the basics and learn index notation. It is the first book I would recommend. Next, progress to Gurtin. The elegance and utility of direct tensor notation will then become clear. Also be aware that Gurtin is a mathematician and approaches the material from the perspective of elegance as opposed to physical insight.

Author(s): Morton E. Gurtin (Eds.)
Series: Mathematics in Science and Engineering 158
Publisher: Academic Press
Year: 1981

Language: English
Pages: iii-xi, 1-265

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