TITLE

A unified generalized thermoelasticity solution for the transient thermal shock problem

AUTHOR(S)
Wang, Ying-Ze; Zhang, Xiao-Bing; Song, Xin-Nan
PUB. DATE
April 2012
SOURCE
Acta Mechanica;Apr2012, Vol. 223 Issue 4, p735
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
A unified generalized thermoelasticity solution for the transient thermal shock problem in the context of three different generalized theories of the coupled thermoelasticity, namely: the extended thermoelasticity, the temperature-rate-dependent thermoelasticity and the thermoelasticity without energy dissipation is proposed in this paper. First, a unified form of the governing equations is presented by introducing the unifier parameters. Second, the unified equations are derived for the thermoelastic problem of the isotropic and homogeneous materials subjected to a transient thermal shock. The Laplace transform and inverse transform are used to solve these equations, and the unified analytical solutions in the transform domain and the short-time approximated solutions in the time domain of displacement, temperature and stresses are obtained. Finally, the numerical results for copper material are displayed in graphical forms to compare the characteristic features of the above three generalized theories for dealing with the transient thermal shock problem.
ACCESSION #
73910384

 

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