Transient Disturbance In A Half-Space Due To Moving Line Heat Source Using Thermoelasticity Without Energy Dissipation
GN理论下受到移动内热源的半空间问题的研究

In this paper transient problem created by a line heat source that suddenly starts moving with a uniform velocity inside isotropic homogeneous thermoelastic half-space are studied using the GN theory of generalized thermoelasicity. The problem is reduced to the solution of three differential equations by introducing the elastic and the thermoelastic potentials. Using the Laplace and Fourier transforms, the solutions are first obtained in the transform domain. Applying the inverse transforms, the approximate solutions, valid in short time range, are then derived. The displacements are calculated at the boundary for short time. Also the approximate region valid for the solutions is given and two special cases, (i) the source is motionless and (ii) the uncoupled theory, are studied. Numerical evaluations are presented for the medium of copper.