Coupled finite element analysis of generalized thermoelasticity in semi-infinite medium

The equations for the extended Lord-Shulman (LS) and Green-Lindsay (GL) models are solved for thermoelastic analysis in a semi-infinite medium by employing a finite element method using the theory of virtual displacement and the implicit Newmark algorithm. Simulations for both one-dimensional (1 D) and two-dimensional (2D) models are performed to achieve the best approximation under prescribed boundary conditions. The effects of thermoelastic coupling factors and relaxation parameters on thermomechanical behavior of the medium are discussed for the two models. The results are consistent with our previous work using the Laplace transformation method.