Thermo-elastodynamic response of a spherical cavity in saturated poroelastic medium

In this paper, an attempt has been made to investigate the thermo-hydro-elastodynamic response of a spherical cavity in isotropic saturated poroelastic medium when subjected to a time dependent thermal/mechanical source. The fully coupling thermo-hydro-elastodynamic model is presented on the basis of equations of motion, fluid flow, feat flow and constitutive equation with effective stress and temperature change. Solutions of displacement, temperature and stresses are obtained by using a semi-analytical approach in the domain of Laplace transform. Numerical results are also performed for portraying the nature of variations of the field variables, i.e. the coefficient of thermo-osmosis, the permeability. In addition, comparisons are presented with the corresponding partially thermo-hydro-elastodynamic model and thermo-elastodynamic model to ascertain the validity and the difference between these models.