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Thermoelasticity with Finite Wave Speeds$
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Józef Ignaczak and Martin Ostoja-Starzewski

Print publication date: 2009

Print ISBN-13: 9780199541645

Published to Oxford Scholarship Online: February 2010

DOI: 10.1093/acprof:oso/9780199541645.001.0001

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Central Equation of Thermoelasticity with Finite Wave Speeds

Central Equation of Thermoelasticity with Finite Wave Speeds

Chapter:
(p.111) 6 Central Equation of Thermoelasticity with Finite Wave Speeds
Source:
Thermoelasticity with Finite Wave Speeds
Author(s):

Józef Ignaczak

Martin Ostoja‐Starzewski

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199541645.003.0006

This chapter focuses on a central equation of thermoelasticity with finite wave speeds, i.e. a partial differential equation which, most remarkably, has a similar form for both theories. Given next are: a decomposition theorem for a central equation of Green‐Lindsay theory, the wave‐like equations with a convolution, and the speed and attenuation of thermoelastic disturbances. The chapter ends with an analysis of the convolution coefficient and kernel in the space of constitutive variables.

Keywords:   central equation of thermoelasticity, decomposition theorem, wave‐like equations with a convolution, speed and attenuation of thermoelastic disturbances, convolution coefficient and kernel, space of constitutive variables

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