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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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Thermoelastic Polynomials

Thermoelastic Polynomials

Chapter:
(p.241) 9 Thermoelastic Polynomials
Source:
Thermoelasticity with Finite Wave Speeds
Author(s):

Józef Ignaczak

Martin Ostoja‐Starzewski

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199541645.003.0009

This chapter begins from the observation that the fundamental solutions of the G‐L theory may be determined with the help of polynomial sequences on the time axis, the so‐called polynomials of thermoelasticity. A number of recurrence relations describing these polynomials is given, and then it is shown that a pair of thermoelastic polynomials can be identified with an element of the null space of a linear ordinary differential operator. On this basis, an integral relation and associated thermoelastic polynomials are developed.

Keywords:   fundamental solutions, polynomial sequences, thermoelastic polynomials, recurrence relations

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