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© 1997

The Mechanics and Thermodynamics of Continuous Media

Textbook

Part of the Texts and Monographs in Physics book series (TMP)

Table of contents

  1. Front Matter
    Pages I-XIV
  2. Synopsis

    1. Miroslav Šilhavý
      Pages 1-6
  3. Balance Equations

    1. Front Matter
      Pages 7-7
    2. Miroslav Šilhavý
      Pages 9-28
    3. Miroslav Šilhavý
      Pages 29-60
    4. Miroslav Šilhavý
      Pages 61-86
  4. Foundations

    1. Front Matter
      Pages 87-87
    2. Miroslav Šilhavý
      Pages 89-94
    3. Miroslav Šilhavý
      Pages 95-100
    4. Miroslav Šilhavý
      Pages 101-108
    5. Miroslav Šilhavý
      Pages 109-134
  5. Constitutive Theory

    1. Front Matter
      Pages 135-135
    2. Miroslav Šilhavý
      Pages 137-150
    3. Miroslav Šilhavý
      Pages 151-166
    4. Miroslav Šilhavý
      Pages 167-184
    5. Miroslav Šilhavý
      Pages 185-196
    6. Miroslav Šilhavý
      Pages 197-206
  6. Thermodynamic Equilibrium

    1. Front Matter
      Pages 207-207
    2. Miroslav Šilhavý
      Pages 209-228
    3. Miroslav Šilhavý
      Pages 229-242

About this book

Introduction

This book presents the non-linear theories of continuum thermomechanics. Throughout, the author emphasizes issues that are foundational in nature and seeks results common to materials of arbitrary symmetry. The central part of the book deals with thermoelastic bodies with heat conduction and viscosity, including the inviscid or ideal dissipationless bodies. A surprising variety of phenomena can be modeled within this framework. Moreover, the main ideas can be transferred into more complicated theories of materials with memory or microstructure. A large portion is an extension of Gibbs' ideas to bodies of general symmetry by the methods of the calculus of variations. A progress there is recent. The interplay between the convexity properties of the stored energy functions, the resulting equations, and the physics of the phenomena are leading themes.

Keywords

Classical Field Theory Continuum Mechanics Dissipation Kontinuummechanik Thermodynamik Variational Principles thermodynamics

Authors and affiliations

  1. 1.Mathematical InstituteAcademy of Sciences of the Czech RepublicPrague 1Czech Republic

Bibliographic information

Reviews

From the reviews
"The book is excellent, and covers a very broad area (usually treated as separate topics) from a unified perspective. The author has clearly tried to reduce the mathematical tools to a minimium so as to make the book accessible to readers from the physics community (a more mathematical treatment can be found in his papers). It will be very useful for both mathematicians and physicists." (EMS Newsletter, 1999)