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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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Fundamentals of Linear Thermoelasticity with Finite Wave Speeds

Fundamentals of Linear Thermoelasticity with Finite Wave Speeds

Chapter:
(p.1) 1 Fundamentals of Linear 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/9780199541645.003.0001

First, the basic equations of classical thermoelasticity (based on Fourier heat conduction) are reviewed. Then, starting from continuum thermomechanics, the corresponding equations of the thermoelasticity with one relaxation time [or the Lord‐Shulman (L‐S) theory] are obtained, followed by an analogous set of equations of thermoelasticity with two relaxation times [or the Green‐Lindsay (G‐L) theory]. In each case, the global balance laws are obtained in terms of a displacement‐temperature pair or, alternatively, a stress‐heat flux pair, or in terms of another pair of thermomechanical variables. This chapter provides an Ansatz for the entire book.

Keywords:   Lord‐Shulman theory, theory with one relaxation time, Green‐Lindsay theory, theory with two relaxation times

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