Three-dimensional half-space problem within the framework of two-temperature thermo-viscoelasticity with three-phase-lag effects

Present paper deals with the problem of thermo-viscoelastic interactions in a homogeneous, isotropic three-dimensional medium whose surface suffers a time dependent thermal shock. The problem is treated on the basis of three-phase-lag model with two temperatures. Medium is assumed to be unstrained and unstressed initially and has uniform temperature. Normal mode analysis technique is employed onto the non-dimensional field equations to derive the exact expressions for displacement component, temperature fields, stress and strain. The problem is illustrated by computing the numerical values of the field variables for a copper material. Finally, all the physical fields are represented graphically to estimate and highlight the effects of the different parameters considered in this problem.