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The Mechanics and Thermodynamics of Continuous Media

  • Miroslav Šilhavý

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
    4. Miroslav Šilhavý
      Pages 243-254
    5. Miroslav Šilhavý
      Pages 255-266
    6. Miroslav Šilhavý
      Pages 267-294
    7. Miroslav Šilhavý
      Pages 295-310
    8. Miroslav Šilhavý
      Pages 311-332
    9. Miroslav Šilhavý
      Pages 333-368
    10. Miroslav Šilhavý
      Pages 369-396
  7. Dynamics

    1. Front Matter
      Pages 397-397
    2. Miroslav Šilhavý
      Pages 399-410
    3. Miroslav Šilhavý
      Pages 411-442
    4. Miroslav Šilhavý
      Pages 443-459
    5. Miroslav Šilhavý
      Pages 461-477
  8. Back Matter
    Pages 479-505

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

  • Miroslav Šilhavý
    • 1
  1. 1.Mathematical InstituteAcademy of Sciences of the Czech RepublicPrague 1Czech Republic

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-03389-0
  • Copyright Information Springer-Verlag Berlin Heidelberg 1997
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-08204-7
  • Online ISBN 978-3-662-03389-0
  • Series Print ISSN 1864-5879
  • Series Online ISSN 1864-5887
  • Buy this book on publisher's site