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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

(p.1) 1 Fundamentals of Linear Thermoelasticity with Finite Wave Speeds
Thermoelasticity with Finite Wave Speeds

Józef Ignaczak

Martin Ostoja‐Starzewski

Oxford University Press

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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