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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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Kirchhoff‐Type Formulas and Integral Equations in Green–Lindsay Theory

Kirchhoff‐Type Formulas and Integral Equations in Green–Lindsay Theory

Chapter:
(p.217) 8 Kirchhoff‐Type Formulas and Integral Equations in Green–Lindsay Theory
Source:
Thermoelasticity with Finite Wave Speeds
Author(s):

Józef Ignaczak

Martin Ostoja‐Starzewski

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199541645.003.0008

This chapter begins with a demonstration how one can obtain the Kirchhoff type integral representation of the fundamental solutions for the G‐L theory in a 3‐D bounded region. These representations are then used to show that the fundamental solutions may also be obtained from a system of singular integral equations. Also covered are the integral equations for a potential‐temperature problem.

Keywords:   integral representations, fundamental solutions, central system of equations, and integral equations for a potential‐temperature problem

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