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Research Article

Finite Element Method to Generalized Thermoelastic Problems with Temperature-dependent Properties

Tianhu He, Tao Rao, Shuanhu Shi, Huimin Li and Yongbin Ma
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In the context of Lord-Shulman theory, the generalized thermoelastic problem with temperature-dependent properties is investigated. Due to the nonlinearity of the governing equations, finite element method is adopted to solve such problem. The corresponding nonlinear finite element equation is derived by means of virtual displacement principle. As a concrete example, a thin slim strip subjected to a thermal shock is investigated in detail. The nonlinear finite element equation for this problem is solved directly in time domain. The variations of the considered variables are illustrated graphically. The results show that solving the derived nonlinear finite element equation directly in time domain is an efficient and accurate method for such problem, the temperature-dependent properties act to reduce the magnitudes of the considered variables, and taking the temperature-dependence of material properties into account in the investigation of generalized thermoelastic problem is very necessary and practical for accurately predicting the thermoelastic behaviors.

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  How to cite this article:

Tianhu He, Tao Rao, Shuanhu Shi, Huimin Li and Yongbin Ma, 2013. Finite Element Method to Generalized Thermoelastic Problems with Temperature-dependent Properties. Journal of Applied Sciences, 13: 2156-2160.

DOI: 10.3923/jas.2013.2156.2160


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