DEFORMATION IN A GENERALIZED THERMOELASTIC MATERIAL WITH VOIDS UNDER THE DEPENDENCE OF MODULUS OF ELASTICITY AND THERMAL CONDUCTIVITY ON REFERENCE TEMPERATURE

摘要

The present investigation is to determine the displacement component, change in the volume fraction field and temperature distribution in a generalized thermoelastic half space with voids with a variable modulus of elasticity and thermal conductivity subjected to mechanical and thermal boundary conditions. The formulation is applied to the coupled as well as the generalized theories of thermoelasticity: the Lord-Shulman theory (with one relaxation time), Green-Lindsay theory (with two relaxation times), and Chandrasekhariah-Tzou theory (with dual phase lag). The Laplace transform technique has been used to solve the problem. An application of concentrated (mechanical/thermal) and continuous (mechanical/thermal) sources has been considered to illustrate the utility of the approach. The transformed solutions are inverted using a numerical inversion technique to obtain the displacement component, change in the volume fraction field and temperature distribution in the physical domain and illustrated graphically for a particular model. Various special cases of interest have been deduced from the present investigation.