Two-dimensional problem of generalized thermoelastic half-space subjected to moving heat source

摘要

In this work, we will consider a half-space filled with an elastic material, which has constant elastic parameters. The governing equations are taken in the context of the theory generalized thermoelasticity. A linear temperature ramping function is used to more realistically model thermal loading of the half-space surface. The medium is assumed initially quiescent and subjected to moving heat source with constant velocity in one direction. Laplace and Fourier transform techniques are used to obtaining the general solution for any set of boundary conditions. The inverse Laplace and Fourier transforms are computed numerically using a method based on Fourier expansion techniques. Some comparisons have been shown in figures to estimate the effect of the ramping parameter of heating and the velocity of the heat source.