On Effect of Viscous Fractional Parameter on Infinite Thermo Viscoelastic Medium with a Spherical Cavity

The present work investigates a problem in an infinite thermo viscoelastic medium with a spherical cavity in the context of a new consideration of viscous parameter with fractional order. The cavity surface, which is assumed to be traction free, is subjected to time dependent temperature input. The state space approach is adopted for the solution of one dimensional problem. The Laplace transform technique is used. A numerical method is employed for the inversion of the Laplace transform. According to the numerical results and its graphs, conclusion about the new consideration of viscous parameter with fractional order has been constructed. Some comparisons have been shown in figures to estimates the effect of the viscous fractional order parameter and time on all the studied fields.