Two-dimensional fields of thermoelasticity with relaxation times
type: Item
instance of: scholarly article
title: Two-dimensional fields of thermoelasticity with relaxation times
zbMATH Open document ID: 0583.73005
author: R. Wojnar
published in: Bulletin of the Polish Academy of Sciences. Technical Sciences
publication date: 1985-01-01T00:00:00Z
review text: The linear field equations for some two-dimensional problems of thermoelasticity with two relaxation times [propossed by \textit{A. E. Green} and \textit{K. A. Lindsay}, J. Elasticity 2, 1-7 (1972)] are derived. This model allows for a finite speed of propagation of thermal signals. There are treated the plane state of stress, the plane state of strain and the antiplane motion. For the first one the questionable conclusion is made that the constitutive law does not contain the temperature field. For the second one two unqueness theorems are proved. No applications are given.
Mathematics Subject Classification ID: 74F05
Mathematics Subject Classification ID: 74G30
Mathematics Subject Classification ID: 74H25
Mathematics Subject Classification ID: 80A20
Mathematics Subject Classification ID: 74A15
zbMATH DE Number: 3934470
zbMATH Keywords: initial boundary value problem of classical elastodynamics type
zbMATH Keywords: special distribution of heat sources
zbMATH Keywords: initial boundary value problem in terms of the displacement and temperature
zbMATH Keywords: natural stress-temperature initial boundary value problem
zbMATH Keywords: two-dimensional problems
zbMATH Keywords: thermoelasticity
zbMATH Keywords: two relaxation times
zbMATH Keywords: finite speed of propagation
zbMATH Keywords: thermal signals
zbMATH Keywords: plane state of stress
zbMATH Keywords: plane state of strain
zbMATH Keywords: antiplane motion
reviewed by: Hans Bufler
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3934470