THERMOELASTIC MATERIAL RESPONSE DUE TO LASER PULSE HEATING IN CONTEXT OF FOUR THEOREMS OF THERMOELASTICITY

摘要

This article describes the study of induced temperature and stress fields in an elastic half-space in the context of classical coupled thermoetasticity (Biot) and generalized thermoelasticity (Lord-Shulman, Green-Lindsay and Green-Naghdi) in a unified system of equations. The medium is considered to be made of an isotropic homogeneous thermoelastic half-space. The bounding plane of the surface is heated by a non-Gaussian laser beam with pulse duration of 2 ps. An exact solution of the problem is first obtained in Laplace transform space. Because the response is of more interest in the transient state, the inversion of Laplace transforms were carried out numerically. The derived expressions were computed numerically for copper, and the results are presented in graphical form.