State space approach to thermoelasticity with two relaxation times
type: Item
instance of: scholarly article
title: State space approach to thermoelasticity with two relaxation times
zbMATH Open document ID: 0774.73015
DOI: 10.1016/0020-7225(93)90091-8
author: Hany H. Sherief
published in: International Journal of Engineering Science
publication date: 1993-09-07T00:00:00Z
review text: The state space formulation for thermoelasticity with two relaxation times is introduced. The formulation is valid for problems with or without heat sources. The resulting formulation together with the Laplace transform technique are applied to a variety of problems. The solutions to a thermal shock problem and to a problem of a layer medium both without heat sources are obtained. Also a problem with a distribution of heat sources is considered. A numerical method is employed for the inversion of the Laplace transforms.
Mathematics Subject Classification ID: 74A15
Mathematics Subject Classification ID: 80A20
Mathematics Subject Classification ID: 44A10
zbMATH DE Number: 410224
zbMATH Keywords: thermal shock problem
zbMATH Keywords: problem of a layer medium
zbMATH Keywords: heat sources
MaRDI profile type: Publication
full work available at URL: 0020-7225(93)90091-8
OpenAlex ID: W2171455771
cites work: Thermoelasticity and Irreversible Thermodynamics
cites work: A generalized dynamical theory of thermoelasticity
cites work: On uniqueness and stability in generalized thermoelasticity
cites work: The coldness, a universal function in thermoelastic bodies
cites work: Thermoelasticity
cites work: Q5537129
cites work: Fundamental solution for thermoelasticity with two relaxation times
cites work: Q3283511
cites work: A method for the numerical inversion of Laplace transforms
description: scientific article; zbMATH DE number 410224