Finite element analysis of generalized thermoelastic problems in elastic media with temperature-dependent properties

Finite element nonlinear equations based on Lord-Shulman (L-S) generalized thermoelasticity theory are derived for elastic media with temperature-dependent properties and solved directly in time domain. A case of an infinite medium with a cylindrical hole under thermal and mechanical shock is analyzed with the developed method. The numerical results with temperature-dependent properties show the fluctuation of heat conduction and the efficiency of the time domain method in solving generalized thermoelastic problems. Furthermore, it also shows that the influence of temperature-dependent properties are more pronounced on mechanical response of the media with the thermal shock loading, rather than the mechanical shock.