Thermoelastic interaction with and without energy dissipationin an unbounded medium due to heatsource—an eigenvalue approach

摘要

This paper deals with the thermoelastic interactions due todistributed heat source in a homogeneous, isotropic and unbounded elasticmedium in the context of the theory of generalized thermoelasticity with energydissipation (TEWED) and without energy dissipation (TEWOED). Using Laplacetransform, the fundamental equations have been expressed in the form of aninhomogeneous vector matrix differential equation which is then solved by theeigenvalue approach. The numerical inversion of the Laplace transform solutionis carried out by applying the method of Bellman et. al and computations havebeen done by MATLAB software. The numerical estimates of displacement, stressand temperature fields in space time domain have been obtained and depictedgraphically for aluminium-epoxy composite material. It is observed that whenthe effect of thermal conductivity is negligible TEWED coincides withTEWOED