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Principles of Continuum Mechanics

A Basic Course for Physicists

  • Zdeněk Martinec
Textbook

Part of the Nečas Center Series book series (NECES)

Table of contents

  1. Front Matter
    Pages i-xix
  2. Zdeněk Martinec
    Pages 1-33
  3. Zdeněk Martinec
    Pages 35-47
  4. Zdeněk Martinec
    Pages 49-58
  5. Zdeněk Martinec
    Pages 59-75
  6. Zdeněk Martinec
    Pages 77-93
  7. Zdeněk Martinec
    Pages 95-137
  8. Zdeněk Martinec
    Pages 139-167
  9. Zdeněk Martinec
    Pages 169-184
  10. Back Matter
    Pages 211-247

About this book

Introduction

This book addresses the basic concepts of continuum mechanics, that is, the classical field theory of deformable bodies. The theory is systematically developed, from the kinematics to the balance equations, the material theory, and the entropy principles. In turn, the linear-elastic solids, the ideal liquid and the Newtonian liquid are presented in detail as concrete applications. The book concludes by covering the theory of small motions in a medium with a finite prestress. In general, the emphasis is on presenting the content in a clear and straightforward way that requires only an elementary grasp of calculus, linear algebra, and Newtonian mechanics. The book is intended for students of physics, mechanics, engineering and the geosciences, as well as applied mathematics, with a year or more of college calculus behind them.

Keywords

stress strain balance laws constitutive equation elasticity entropy

Authors and affiliations

  • Zdeněk Martinec
    • 1
  1. 1.Faculty of Mathematics and Physics, Charles University in Prague, Prague, Czech Republic; Dublin Institute for Advanced StudiesGeophysics SectionDublinIreland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-05390-1
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-05389-5
  • Online ISBN 978-3-030-05390-1
  • Series Print ISSN 2523-3343
  • Series Online ISSN 2523-3351
  • Buy this book on publisher's site