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Recent Developments in Thermomechanics of Solids

  • Book
  • © 1980

Overview

Editors:
  1. G. Lebon

    1. University of Liege, Belgium

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    You can also search for this editor in PubMed   Google Scholar

  2. P. Perzyna

    1. Polish Academy of Sciences, Poland

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: CISM International Centre for Mechanical Sciences (CISM, volume 262)

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Table of contents (16 chapters)

  1. Front Matter

    Pages i-v
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  2. Thermodynamic Foundations of Thermoelasticity

    1. Front Matter

      Pages 1-2
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    2. The Notion of a Thermodynamic Process in Continua

      • G. Lebon, P. Perzyna
      Pages 3-14

    3. Balance Laws

      • G. Lebon, P. Perzyna
      Pages 15-40

    4. Thermoelastic Materials

      • G. Lebon, P. Perzyna
      Pages 41-60

    5. Heat Conduction in Thermoelastic Materials

      • G. Lebon, P. Perzyna
      Pages 61-72

    6. Waves in Thermoelastic Materials

      • G. Lebon, P. Perzyna
      Pages 73-88

  3. Thermodynamics of Dissipative Materials

    1. Front Matter

      Pages 95-101
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    2. Global Formulation of Thermodynamics of Continua

      • G. Lebon, P. Perzyna
      Pages 101-123

    3. General Material Structure

      • G. Lebon, P. Perzyna
      Pages 123-145

    4. Internal State Variable Material Structure

      • G. Lebon, P. Perzyna
      Pages 145-153

    5. Rate Type Material Structure

      • G. Lebon, P. Perzyna
      Pages 153-156

    6. Isomorphic Material Structures (Isothermal Processes)

      • G. Lebon, P. Perzyna
      Pages 156-159

    7. Thermo-Viscoplasticity for Finite Strains

      • G. Lebon, P. Perzyna
      Pages 160-193

    8. Thermoplasticity for Finite Deformations

      • G. Lebon, P. Perzyna
      Pages 194-204

  4. Variational Principles in Thermomechanics

    1. Front Matter

      Pages 221-223
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    2. Basic Concepts of the Calculus of Variation

      • G. Lebon, P. Perzyna
      Pages 224-263

    3. Variational Principles in Classical Mechanics and in Elasticity

      • G. Lebon, P. Perzyna
      Pages 264-329

    4. Variational Theory of Heat Conduction

      • G. Lebon, P. Perzyna
      Pages 330-365

    5. Coupled Thermoelasticity

      • G. Lebon, P. Perzyna
      Pages 366-396
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Keywords

About this book

The main objective of the contributions contained in this volume is to present the thermodynamic foundations of the response of elastic and dissipative materials. In particular, the governing equations of non linear thermoelasticity and thermoinelasticity as well as the basic properties of these equations as resulting from the primary assumptions of continuum thermodynamics are derived. The global formulation of thermodynamics of continua is discussed. A special attention is paid to the properties of the balance equations on a singular surface. The possible forms of the second law of thermodynamics are discussed within the frame­ work ofaxiomatic thermodynamics. Furthermore, the thermodynamiG requirements for differ­ ent kinds of materials are examined. The secondary purpose of the Course was to discuss some connections between rational and classical formulations of the principles of thermodynamics. The present volume contains the texts of three (of the four delivered) Course lectures. I hope it will constitute a useful source of information on the problems presented and discussed in Udine. Special thanks are due to the International Centre for Mechanical Sciences whose direction encouraged us to prepare and to deliver the lectures.

Editors and Affiliations

  • University of Liege, Belgium

    G. Lebon

  • Polish Academy of Sciences, Poland

    P. Perzyna

Bibliographic Information

  • Book Title: Recent Developments in Thermomechanics of Solids

  • Editors: G. Lebon, P. Perzyna

  • Series Title: CISM International Centre for Mechanical Sciences

  • DOI: https://doi.org/10.1007/978-3-7091-3351-4

  • Publisher: Springer Vienna

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Wien 1980

  • Softcover ISBN: 978-3-211-81597-7Published: 31 December 1980

  • eBook ISBN: 978-3-7091-3351-4Published: 04 May 2014

  • Series ISSN: 0254-1971

  • Series E-ISSN: 2309-3706

  • Edition Number: 1

  • Number of Pages: V, 415

  • Number of Illustrations: 5 b/w illustrations

  • Topics: Classical Mechanics

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