Uniqueness of the displacement-heat flux problem in thermoelasticity with two relaxation times
type: Item
instance of: scholarly article
title: Uniqueness of the displacement-heat flux problem in thermoelasticity with two relaxation times
zbMATH Open document ID: 0578.73014
author: R. Wojnar
published in: Bulletin of the Polish Academy of Sciences. Technical Sciences
publication date: 1985-01-01T00:00:00Z
review text: The classical theory of coupled thermoelasticity is described by equations that imply an infinite speed of thermoelastic disturbances in a body. In this paper the author considers two new thermoelastic theories which eliminate the infinite speed paradox: the theory derived by \textit{A. E. Green} and \textit{K. A. Lindsay} [(*) J. Elasticity 2, 1-7 (1972)] and the theory proposed by \textit{H. W. Lord} and \textit{Y. Shulman} [J. Mech. Phys. Solids 15, 299-309 (1967)]. First, an initial-boundary value problem in the theory derived by Green and Lindsay (*) is formulated in terms of displacement field and heat flux field. A uniqueness theorem is established. Then, the author shows that some of the field equations of one theory reduce to those of the other if the relaxation times satisfy some restrictions.
Mathematics Subject Classification ID: 74F05
Mathematics Subject Classification ID: 74G30
Mathematics Subject Classification ID: 74H25
Mathematics Subject Classification ID: 74A15
zbMATH DE Number: 3926340
zbMATH Keywords: displacement-heat flux problem
zbMATH Keywords: two relaxation
zbMATH Keywords: times
zbMATH Keywords: coupled thermoelasticity
zbMATH Keywords: infinite speed
zbMATH Keywords: thermoelastic disturbances
zbMATH Keywords: eliminate the infinite speed paradox
zbMATH Keywords: initial-boundary value problem
reviewed by: D. Ieşan
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3926340