
Research Article


Finite Element Method to Generalized Thermoelastic Problems with Temperaturedependent Properties


Tianhu He,
Tao Rao,
Shuanhu Shi,
Huimin Li
and
Yongbin Ma



ABSTRACT

In the context of LordShulman theory, the generalized thermoelastic
problem with temperaturedependent 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 temperaturedependent properties act to
reduce the magnitudes of the considered variables, and taking the temperaturedependence
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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