Publication Cover
Applicable Analysis
An International Journal
Volume 83, 2004 - Issue 2
38
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Structural stability and convergence in thermoelasticity and heat conduction with relaxation times

Pages 135-155 | Received 05 May 2003, Published online: 25 Jan 2007
 

Abstract

This article investigates the structural stability in several thermomechanics and heat conduction theories as well as the convergence of these theories to the classical versions of the thermoelasticity and heat conduction. We consider first the Lord–Shulman theory of thermoelasticity. We study the structural stability with respect to the relaxation parameter and the convergence of the solutions when the relaxation parameter tends to zero. Second we study the dual-phase-lag theory. Assuming that the relaxation parameters are small we consider the Taylor series in which only the first powers of the phase-lag parameters are retained. In this situation we consider the heat equation and study the structural stability and the convergence with respect to the phase-lag of the gradient of temperature. In the last part of the article, we consider the thermoelastic theory proposed by Chandrasekharaiah and Tzou. We study the structural stability and the convergence with respect to both relaxation parameters that describe this theory

Acknowledgment

This work is a part of the project “Stability Aspects in Thermomechanics” (BFM2003- 00309) supported by the Spanish Ministry of Science and Technology.

Log in via your institution

Log in to Taylor & Francis Online

PDF download + Online access

  • 48 hours access to article PDF & online version
  • Article PDF can be downloaded
  • Article PDF can be printed
USD 61.00 Add to cart

Issue Purchase

  • 30 days online access to complete issue
  • Article PDFs can be downloaded
  • Article PDFs can be printed
USD 1,361.00 Add to cart

* Local tax will be added as applicable

Related Research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.