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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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Formulations of Initial‐Boundary Value Problems

Formulations of Initial‐Boundary Value Problems

Chapter:
(p.30) 2 Formulations of Initial‐Boundary Value Problems
Source:
Thermoelasticity with Finite Wave Speeds
Author(s):

Józef Ignaczak

Martin Ostoja‐Starzewski

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199541645.003.0002

This chapter first presents a conventional and non‐conventional characterization of a thermoelastic process, giving four mixed initial‐boundary value problems (displacement‐temperature and stress‐heat flux) in the both theories. These problems contain as special cases the so‐called natural problems: a natural displacement‐temperature problem in the L‐S or G‐L theory, a natural stress‐heat flux problem in the L‐S theory, a natural stress‐temperature problem in the G‐L theory. This is followed by a discussion, made rigorous through several theorems, of the relations among descriptions of a thermoelastic process in terms of various pairs of thermomechanical variables.

Keywords:   conventional thermoelastic process, non‐conventional thermoelastic process, mixed initial‐boundary value problems, thermomechanical variables

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