Математическое моделирование лазерного нагрева тел с покрытиями на основе нелинейного гиперболического уравнения теплопроводности

Abstract

The nonlinear mathematical model of laser heating of bodies with coatings has been developed on the basis of the hyperbolic heat conduction equation in which the absorption of laser energy, depending on the parameters of the pulse is described by the volume or surface source of heat. Calculated temperature fields by approximate analytical method for solving nonlinear boundary problems for hyperbolic systems of equations of thermal conductivity, and temperature fields are compared with those obtained on the basis of the corresponding linear models.