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Internal Variables in Thermoelasticity

  • Arkadi Berezovski
  • Peter Ván

Part of the Solid Mechanics and Its Applications book series (SMIA, volume 243)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Arkadi Berezovski, Peter Ván
    Pages 1-18
  3. Internal Variables in Thermomechanics

    1. Front Matter
      Pages 19-19
    2. Arkadi Berezovski, Peter Ván
      Pages 21-33
    3. Arkadi Berezovski, Peter Ván
      Pages 35-58
    4. Arkadi Berezovski, Peter Ván
      Pages 59-72
  4. Dispersive Elastic Waves in One Dimension

    1. Front Matter
      Pages 73-73
    2. Arkadi Berezovski, Peter Ván
      Pages 75-84
    3. Arkadi Berezovski, Peter Ván
      Pages 85-98
    4. Arkadi Berezovski, Peter Ván
      Pages 99-111
    5. Arkadi Berezovski, Peter Ván
      Pages 113-120
  5. Thermal Effects

    1. Front Matter
      Pages 121-121
    2. Arkadi Berezovski, Peter Ván
      Pages 131-145
    3. Arkadi Berezovski, Peter Ván
      Pages 147-162
    4. Arkadi Berezovski, Peter Ván
      Pages 163-172
  6. Weakly Nonlocal Thermoelasticity for Microstructured Solids

    1. Front Matter
      Pages 173-173
    2. Arkadi Berezovski, Peter Ván
      Pages 175-190
  7. Back Matter
    Pages 191-220

About this book

Introduction

This book describes an effective method for modeling advanced materials like polymers, composite materials and biomaterials, which are, as a rule, inhomogeneous. The thermoelastic theory with internal variables presented here provides a general framework for predicting a material’s reaction to external loading. The basic physical principles provide the primary theoretical information, including the evolution equations of the internal variables.

The cornerstones of this framework are the material representation of continuum mechanics, a weak nonlocality, a non-zero extra entropy flux, and a consecutive employment of the dissipation inequality. Examples of thermoelastic phenomena are provided, accompanied by detailed procedures demonstrating how to simulate them.

Keywords

Thermodynamics of solids Modelling of advanced materials Extra entropy flux Heterogeneous solids Thermoelasticity Wave propagation Heat Conduction Thermal waves Generalized continua Microstructure Microdeformation Microtemperature Finite volume methods

Authors and affiliations

  • Arkadi Berezovski
    • 1
  • Peter Ván
    • 2
  1. 1.Department of Cybernetics, School of ScienceTallinn University of TechnologyTallinnEstonia
  2. 2.Institute of Particle and Nuclear PhysicsMTA WIGNER Research Centre for PhysicsBudapestHungary

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-56934-5
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-56933-8
  • Online ISBN 978-3-319-56934-5
  • Series Print ISSN 0925-0042
  • Series Online ISSN 2214-7764
  • Buy this book on publisher's site