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Thermomechanics of Continua

  • Textbook
  • © 1998

Overview

Authors:
  1. Krzysztof Wilmański

    1. Forschungsgruppe Kontinuumsmechanik, Weierstrass-Institut für Angewandte Analysis und Stochastik, Berlin, Germany

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  • The book is an unusual, comprehensive review of modern nonlinear thermodynamics giving also numerous examples for the practitioners.

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Table of contents (10 chapters)

  1. Front Matter

    Pages I-XI
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  2. Introduction

    • Krzysztof Wilmański
    Pages 1-10

  3. Geometry

    • Krzysztof Wilmański
    Pages 11-33

  4. Kinematics

    • Krzysztof Wilmański
    Pages 34-47

  5. Balance Equations

    • Krzysztof Wilmański
    Pages 48-70

  6. Structure of Field Equations

    • Krzysztof Wilmański
    Pages 71-98

  7. Entropy Principle

    • Krzysztof Wilmański
    Pages 99-127

  8. Ideal Gases

    • Krzysztof Wilmański
    Pages 128-140

  9. Maxwellian Fluids; Viscoelastic Solids

    • Krzysztof Wilmański
    Pages 141-172

  10. Second Sound

    • Krzysztof Wilmański
    Pages 173-190

  11. Some Multicomponent Systems

    • Krzysztof Wilmański
    Pages 191-222

  12. Back Matter

    Pages 223-274
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Keywords

About this book

The notion of continuum thermodynamics, adopted in this book, is primarily understood as a strategy for development of continuous models of various physical systems. The examples of such a strategy presented in the book have both the classical character (e. g. thermoelastic materials, viscous fluids, mixtures) and the extended one (ideal gases, Maxwellian fluids, thermoviscoelastic solids etc. ). The latter has been limited intentionally to non-relativistic models; many important relativistic applications of the true extended thermodynamics will not be considered but can be found in the other sources. The notion of extended thermodynamics is also adopted in a less strict sense than suggested by the founders. For instance, in some cases we allow the constitutive dependence not only on the fields themselves but also on some derivatives. In this way, the new thermodynamical models may have some features of the usual nonequilibrium models and some of those of the extended models. This deviation from the strategy of extended thermodynamics is motivated by practical aspects; frequently the technical considerations of extended thermodynamics are so involved that one can no longer see important physical properties of the systems. This book has a different form from that usually found in books on continuum mechanics and continuum thermodynamics. The presentation of the formal structure of continuum thermodynamics is not always as rigorous as a mathematician might anticipate and the choice of physical subjects is too disperse to make a physicist happy.

Reviews

From the reviews
"The subjects presented in this book are treated accurately and specific results are derived which have appeared in the recent literature. Hence the book is recommended both for basic notions of thermomechanics of continua and for updated developments of some topics such as hyperbolicity of field equations, Maxwellian fluids, second sound, porous materials. The book is certainly useful for students and researchers in mathematics, physics and engineering." (Meccanica, 1999)

Authors and Affiliations

  • Forschungsgruppe Kontinuumsmechanik, Weierstrass-Institut für Angewandte Analysis und Stochastik, Berlin, Germany

    Krzysztof Wilmański

Bibliographic Information

  • Book Title: Thermomechanics of Continua

  • Authors: Krzysztof Wilmański

  • DOI: https://doi.org/10.1007/978-3-642-58934-8

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1998

  • Hardcover ISBN: 978-3-540-64141-4Published: 22 June 1998

  • Softcover ISBN: 978-3-642-63797-1Published: 28 October 2012

  • eBook ISBN: 978-3-642-58934-8Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XI, 276

  • Topics: Classical and Continuum Physics, Solid Mechanics, Physical Chemistry

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