Recent Developments in Thermomechanics of Solids

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

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   3. Balance Laws

      • G. Lebon, P. Perzyna

      Pages 15-40

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   4. Thermoelastic Materials

      • G. Lebon, P. Perzyna

      Pages 41-60

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   5. Heat Conduction in Thermoelastic Materials

      • G. Lebon, P. Perzyna

      Pages 61-72

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   6. Waves in Thermoelastic Materials

      • G. Lebon, P. Perzyna

      Pages 73-88

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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

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   3. General Material Structure

      • G. Lebon, P. Perzyna

      Pages 123-145

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   4. Internal State Variable Material Structure

      • G. Lebon, P. Perzyna

      Pages 145-153

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   5. Rate Type Material Structure

      • G. Lebon, P. Perzyna

      Pages 153-156

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   6. Isomorphic Material Structures (Isothermal Processes)

      • G. Lebon, P. Perzyna

      Pages 156-159

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   7. Thermo-Viscoplasticity for Finite Strains

      • G. Lebon, P. Perzyna

      Pages 160-193

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   8. Thermoplasticity for Finite Deformations

      • G. Lebon, P. Perzyna

      Pages 194-204

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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

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   3. Variational Principles in Classical Mechanics and in Elasticity

      • G. Lebon, P. Perzyna

      Pages 264-329

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   4. Variational Theory of Heat Conduction

      • G. Lebon, P. Perzyna

      Pages 330-365

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   5. Coupled Thermoelasticity

      • G. Lebon, P. Perzyna

      Pages 366-396

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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.

• Festkörper
• Solids
• Thermodynamik
• classical mechanics
• deformation
• dynamics
• elasticity
• mechanics
• physical body
• plasticity

• University of Liege, Belgium

  G. Lebon

• Polish Academy of Sciences, Poland

  P. Perzyna

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