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Thermoelastic Waves in a Medium with Heat-Flux Relaxation

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Encyclopedia of Continuum Mechanics

Synonyms

Lord-Shulman thermoelasticity

Propagation of thermal elastic waves in a medium with heat-flux relaxation constant

Definitions

Thermoelastic waves are the solutions of the equations of coupled thermoelasticity. In the case of hyperbolic thermoelasticity, the solution is the sum of two traveling waves. The first terms are called quasithermal components, and the second terms are quasielastic components. These components of thermoelastic waves propagate in the medium with different velocities, dispersion, and attenuation rate.

Introduction

Propagation of thermoelastic waves may be useful for determining the thermomechanical characteristics of micro- and nanoscale objects, such as thin plates and rods, which are used in micro- and nanoelectromechanical devices (MEMS and NEMS). Temperature substantially affects the thermomechanical properties of layered nanomaterials, since the thinner the layer, the more it is sensitive to temperature effects (Haque and Saif, 2005). A number of...

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Author information

Authors and Affiliations

  1. Institute for Problems in Mechanical Engineering RAS, 199178, Bolshoy pr. V. O., 61, Saint Petersburg, Russia

    Mikhail B. Babenkov

  2. Peter the Great Saint-Petersburg Polytechnic University, 195251, Polytechnicheskaya, 29, Saint Petersburg, Russia

    Evgeniy Yu. Vitokhin

Authors
  1. Mikhail B. Babenkov
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  2. Evgeniy Yu. Vitokhin
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Corresponding author

Correspondence to Mikhail B. Babenkov .

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, Queensland, Australia

    Andreas Öchsner

Section Editor information

  1. Department of Theoretical Mechanics, Institute of Applied Mathematics and Mechanics, Peter the Great St. Petersburg Polytechnic University, Polytechnicheskaya 29, 195251, St. Petersburg, Russia

    Elena Ivanova

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Babenkov, M.B., Vitokhin, E.Y. (2018). Thermoelastic Waves in a Medium with Heat-Flux Relaxation. In: Altenbach, H., Öchsner, A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53605-6_62-1

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  • DOI: https://doi.org/10.1007/978-3-662-53605-6_62-1

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-53605-6

  • Online ISBN: 978-3-662-53605-6

  • eBook Packages: Springer Reference EngineeringReference Module Computer Science and Engineering

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