Dynamic Coupled Thermo-Viscoelasticity of a Spherical Hollow Domain

The generalized coupled thermo-viscoelasticity of hollow sphere subjected to thermal symmetric shock load is presented in this paper. To overcome the infinite speed of thermal wave propagation, the Lord-Shulman theory is considered. Two coupled equations, namely, the radial equation of motion and the energy equation of a hollow sphere are obtained in dimensionless form. Resulting equations are transformed into the Laplace domain using the Laplace transformation and discretized by means of the finite element method along the radius. Week's method is employed to obtain the unknowns in the time domain. The numerical results are provided to examine the propagation of thermal and mechanical waves. The results presented visually as temporal, radial and stress-strain plots to shown wave front of various field variables.