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Birkhäuser

Principles of Continuum Mechanics

A Basic Course for Physicists

  • Textbook
  • © 2019

Overview

Authors:
  1. Zdeněk Martinec

    1. Faculty of Mathematics and Physics, Charles University in Prague, Prague, Czech Republic; Dublin Institute for Advanced Studies, Geophysics Section, Dublin, Ireland

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  • Clear and comprehensible presentation of the principles of continuum mechanics
  • Concludes with with the theory of small motions in a medium with a finite prestress
  • Aimed at students of physics, mechanics, engineering, geosciences as well as applied mathematics

Part of the book series: Nečas Center Series (NECES)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xix
    Download chapter PDF

  2. Geometry of Deformation

    • Zdeněk Martinec
    Pages 1-33

  3. Basic Kinematics

    • Zdeněk Martinec
    Pages 35-47

  4. Measures of Stress

    • Zdeněk Martinec
    Pages 49-58

  5. Fundamental Conservation Principles

    • Zdeněk Martinec
    Pages 59-75

  6. Moving Reference Frames

    • Zdeněk Martinec
    Pages 77-93

  7. Constitutive Equations

    • Zdeněk Martinec
    Pages 95-137

  8. Entropy Principles

    • Zdeněk Martinec
    Pages 139-167

  9. Classical Linear Elasticity

    • Zdeněk Martinec
    Pages 169-184

  10. Infinitesimal Deformation of a Body with a Finite Pre-stress

    • Zdeněk Martinec
    Pages 185-210

  11. Back Matter

    Pages 211-247
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Keywords

About this book

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.

Reviews

“Principles of Continuum Mechanics can nevertheless serve as a useful quick-reference summary of major results and analysis methods in continuum mechanics.” (R. M. Brannon, Physics Today, April, 2020)

“The book will be a useful support for undergraduate students from different fields. It can also be useful to researchers who will find the bases of continuum mechanics with examples.” (Alain Brillard, zbMATH 1428.74001, 2020)

Authors and Affiliations

  • Faculty of Mathematics and Physics, Charles University in Prague, Prague, Czech Republic; Dublin Institute for Advanced Studies, Geophysics Section, Dublin, Ireland

    Zdeněk Martinec

About the author

Zdenek Martinec, Dublin Institute for Advanced Studies, Dublin, Ireland
and
Department of Geophysics, Faculty of Mathematics and Physics, Charles University, Prague, Czech Republic

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