Modification of Kelvin-Voigt Model in Fractional Order for Thermoviscoelastic Isotropic Material

摘要

The present work investigates a problem of thermo viscoelastic interaction in an initially stressed isotropic homogeneous half space, in the context of introducing another viscous parameter to be observed in the theory of fractional order. The state space approach is adopted for thesolution of one dimensional problem. The Laplace transform technique is used. A numerical method is employed for the inversion of the Laplace transform. In accordance with the numerical results and its graphs, conclusion regarding the new consideration of viscous parameter with fractionalorder has been structured. Some comparisons have been shown in figures to estimates the influence of the viscous fractional order parameter ant time on all the studied fields.