Thermal shock problem in generalized thermo-viscoelasticty under four theories

Ahmed S. El-Karamany, Magdy Ezzat

Research output: Contribution to journalJournal articlepeer-review

63 Scopus citations

Abstract

A model of the equations of generalized thermoviscoelasticity for isotropic media is given. The formulation is applied to the generalized thermoelasticity theories: Lord-Shulman, Green-Lindsay and Chandrasekharaiah and Tzou as well as to the dynamic coupled theory. The state space approach is adopted for the solution of one-dimensional problems in the absence of heat sources. The Laplace-transform technique is used. The expansions of the stress component, the temperature and the displacement in Laplace transform domain, in power series and the exact inversions for arbitrary time are given. The jump discontinuities are calculated for the four theories. Numerical results are given and illustrated graphically employing numerical method for the inversion of the Laplace transforms. Comparisons are made with the results predicted by the four theories.

Original languageEnglish
Pages (from-to)649-671
Number of pages23
JournalInternational Journal of Engineering Science
Volume42
Issue number7
DOIs
StatePublished - Apr 2004
Externally publishedYes

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