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Thermoelastic Waves

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Encyclopedia of Continuum Mechanics

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Synonyms

Hyperbolic theories; Maxwell-Cattaneo; Relaxation times; Thermoelasticity; Waves

Definitions

Thermoelastic waves are disturbances involving thermal and elastic fields, typically stemming from the coupling of constitutive equations at the local continuum level. Depending on basic postulates and physical applications, there exist various types of such waves.

Introduction

Thermoelastic waves can be viewed as an extension of elastic waves of isothermal elastodynamics accounting for the interactions between thermal and mechanical fields in the interior of a body due to an external thermomechanical load. From a mathematics’ perspective, they can also be defined as solutions to initial-boundary value problems of a hyperbolic thermoelastodynamics (HT). Various theories of HT have been proposed in the literature since the late 1960s, followed by a milestone book of Nowacki (1975), the first fundamental monograph on dynamic thermoelasticity. Both the linear and nonlinear thermoelastic...

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Acknowledgment

Expert comments of J. Ignaczak helped improve this chapter. This work has partially been supported by the NSF under grant CMMI-1462749.

Author information

Authors and Affiliations

  1. Department of Mechanical Science and Engineering, Institute for Condensed Matter Theory, and Beckman Institute, University of Illinois at Urbana-Champaign, Urbana, IL, USA

    Martin Ostoja-Starzewski

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  1. Martin Ostoja-Starzewski
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Corresponding author

Correspondence to Martin Ostoja-Starzewski .

Editor information

Editors and Affiliations

  1. Institut für Mechanik, Otto-von-Guericke-Universität Institut für Mechanik, Magdeburg, Germany

    Holm Altenbach

  2. Griffith University (Gold Coast Campus), Griffith School of Engineering Griffith University (Gold Coast Campus), Southport, QLD, Australia

    Andreas Öchsner

Section Editor information

  1. Institute of Cybernetics, Tallinn University of Technology, Tallinn, Estonia

    Jüri Engelbrecht

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Ostoja-Starzewski, M. (2018). Thermoelastic Waves. In: Altenbach, H., Öchsner, A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53605-6_233-1

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  • DOI: https://doi.org/10.1007/978-3-662-53605-6_233-1

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-53605-6

  • Online ISBN: 978-3-662-53605-6

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