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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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Domain of Influence Theorems

Domain of Influence Theorems

Chapter:
(p.51) 4 Domain of Influence Theorems
Source:
Thermoelasticity with Finite Wave Speeds
Author(s):

Józef Ignaczak

Martin Ostoja‐Starzewski

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199541645.003.0004

The first part of this chapter concerns a domain of influence theorem for a potential‐temperature problem, which is a particular form of a displacement‐temperature problem in the L‐S theory. The second part of this chapter concerns an analogous theorem for the G‐L theory. In the third part we formulate a domain of influence theorem for a natural stress‐heat flux problem in the L‐S theory. In the fourth part we present a domain of influence theorem for a natural stress‐temperature problem in the G‐L theory. Parts 1–4 are restricted to the setting of a homogeneous and isotropic thermoelastic body. Finally, in the fifth part we formulate a number of domain of influence theorems for a nonhomogeneous anisotropic thermoelastic solid in the L‐S and G‐L theories.

Keywords:   homogeneous isotropic thermoelastic body, inhomogeneous anisotropic thermoelastic body, domain of influence theorems

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