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Continuum Mechanics

  • I-Shih Liu
Textbook

Part of the Advanced Texts in Physics book series (ADTP)

Table of contents

  1. Front Matter
    Pages I-XII
  2. I-Shih Liu
    Pages 1-30
  3. I-Shih Liu
    Pages 31-61
  4. I-Shih Liu
    Pages 129-151
  5. I-Shih Liu
    Pages 153-182
  6. I-Shih Liu
    Pages 183-198
  7. I-Shih Liu
    Pages 199-232
  8. I-Shih Liu
    Pages 233-287
  9. Back Matter
    Pages 289-297

About this book

Introduction

This concise textbook develops step by step the fundamental principles of continuum mechanics. Emphasis is on mathematical clarity, and an extended appendix provides the required background knowledge in linear algebra and tensor calculus. After introducing the basic notions about general kinematics, balance equations, material objectivity and constitutive functions, the book turns to the presentation of rational thermodynamics by stressing the role of Lagrange multipliers in deriving constitutive funcitions from the underlying entropy principle. A brief lecture on extended thermodynamics closes the book. Many examples and exercises round off the material presented in the chapters. The book addresses primarily advanced undergraduate students in theoretical physics, applied mathematics and materials sciences.

Keywords

constitutive relations continuum mechanics entropy entropy principle materials science rational thermodynamics thermodynamics thermomechanics

Authors and affiliations

  • I-Shih Liu
    • 1
  1. 1.Instituto de MatematicaUniversidade Federal do Rio de JaneiroRio de JaneiroBrasil

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-05056-9
  • Copyright Information Springer-Verlag Berlin Heidelberg 2002
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-07702-9
  • Online ISBN 978-3-662-05056-9
  • Series Print ISSN 1439-2674
  • Buy this book on publisher's site
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