Two-Temperature Generalized Thermoelastic Infinite Medium with Cylindrical Cavity Subjected To Time Exponentially Decaying Laser Pulse

Abstract

The present work is devoted to a study of the induced temperature and stress fields in an elastic infinite medium with cylindrical cavity under the purview of two-temperature thermoelasticity. The medium is considered to be an isotropic homogeneous thermoelastic material. The bounding plane surface of the cavity is loaded thermally by time exponentially decaying laser pulse. An exact solution of the problem is obtained in Laplace transform space, and the inversion of Laplace transforms have been carried numerically. The derived expressions are computed numerically for copper, and the results are presented in graphical form.

Hyperbolic two-temperature generalized thermoelasticity with fractional order strain of solid cylinder

“…7 based on the same model. We can see that for the special cases of zero fractional order of strain, one-temperature model, and classical two-temperature model, the results agree with the results in the publications [8,27,28].…”