Classical and Generalized coupled thermoelasticity in functionality graded layers

In this paper the equations for The generalized coupled thermoelasticity based on the extended Lord-Shulman (LS), Green-Lindsay(GL) and Green-Naghdi type II models that admits the second sound effect are solved to study the dynamic thermoelastic response of a 1- Dimensional functionality graded (FG) layer by employing finite element method using the theory of virtual displacement and the implicit Newmark algorithm. The layer material is considered to be graded along wave propagation direction and the element takes into account the variation of thermal and mechanical properties along its depth, which can be modeled by explicit distribution law like the power law distribution. A Heaviside input signal of thermal shock load, heat flux and displacement exerted to the boundary. The effects of thermoelastic coupling factor and the volume fraction on the thermoelastic waves are investigated. Propagation of stress, temperature and displacement wave with time is presented. A comparison is made with results obtained in case of homogenous material in the literatures.

Keywords:

Coupled Thermoelasticity , Functionally Graded Materials , Wave Propagation , Finite Element Methods