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Handbook of Continuum Mechanics

General Concepts Thermoelasticity

  • Textbook
  • © 2001

Overview

Authors:
  1. Jean Salençon

    1. Laboratoire de Mécanique des Solides, École Polytechnique, Palaiseau Cedex, France

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  • Outstanding approach from the Ecole Polytechnique's educational program
  • High mathematical level of teaching
  • The most complete book ever
  • Abstracts, summaries, formula boxes, exercises with solution included
  • Fold-out glossary and short reader included
  • Includes supplementary material: sn.pub/extras

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Table of contents (12 chapters)

  1. Front Matter

    Pages I-XIX
    Download chapter PDF

  2. Modelling the Continuum

    • Jean Salençon
    Pages 1-30

  3. Deformation

    • Jean Salençon
    Pages 31-79

  4. Kinematics

    • Jean Salençon
    Pages 81-131

  5. The Virtual Work Approach to the Modelling of Forces

    • Jean Salençon
    Pages 133-181

  6. Modelling Forces in Continuum Mechanics

    • Jean Salençon
    Pages 183-247

  7. Local Analysis of Stresses

    • Jean Salençon
    Pages 249-294

  8. Thermoelasticity

    • Jean Salençon
    Pages 295-359

  9. Thermoelastic Processes and Equilibrium

    • Jean Salençon
    Pages 361-427

  10. Classic Topics in Three-Dimensional Elasticity

    • Jean Salençon
    Pages 429-482

  11. Variational Methods in Linearised Thermoelasticity

    • Jean Salençon
    Pages 483-568

  12. Statics of One-Dimensional Media

    • Jean Salençon
    Pages 569-644

  13. Thermoelastic Structural Analysis

    • Jean Salençon
    Pages 645-692

  14. Back Matter

    Pages 693-803
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Keywords

About this book

The scale that concerns the practitioner in mechanics is usually qualified as macroscopic. Indeed, applications are rarely much below the human scale, and in order to be relevant models must be constructed on a similar scale, several orders of magnitude greater than the objects that are normally attributed to the physicist's sphere of interest. The mechanicist is therefore aware of the limits of these models, no matter how elegant their mathematical formulation may be, when the time comes far experimental validation. The mechanicist has a deep concern for the microscopic phenomena at the heart of what is being modelled, exposed by the physicist's research, which can today explain a wide range of material behaviour. The aim of this book is to present the general ideas behind continuum mechanics, thermoelasticity and one-dimensional media. Our approach to constructing mechanical models and modelling forces is based upon the principle oi virtual work. There are several advantages to thismethod. To begin with, it clearly emphasises the key role played by geometrical modelling, leading to mechanically consistent presentations in a systematic way. In addition, by requiring rigorous thought and clear formulation of hypotheses, it identifies the inductive steps and emphasises the need for validation, despite its axiomatic appearance. Moreover, once mastered, it will serve as a productive tool in the reader's later research career. This duality is used in the chapter devoted to variational methods for the solution of thermoelastic problems.

Reviews

From the reviews of the first edition:

"The book contains an introduction to the fundamental concepts of kinematics, dynamics, and thermodynamics within the context of non-linear field theories. … All in all, the book is an original and inventive introduction into the fundamentals of continuum mechanics … ." (Technische Mechanik, Vol.24 (1), 2004)

"What makes the book different from others is a unified treatment of forces acting on a continuum by using the principle of virtual work as well as an original choice of material presentation including, in particular, problems at the end of each chapter. … In its present form, the handbook could be used world-wide in universities and polytechnic schools as a textbook on continuum mechanics. Those who have been doing research in the field for years, should also find the book useful for teaching purposes." (Jozef Ignaczak, Zentralblatt MATH, Vol. 981, 2002)

Authors and Affiliations

  • Laboratoire de Mécanique des Solides, École Polytechnique, Palaiseau Cedex, France

    Jean Salençon

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