SOLUTION FOR THE THERMOELASTIC PROBLEM IN VERTICALLY INHOMOGENEOUS MEDIA

<正> The fundamental transient-thermoelastic problem with body forces and a heat sourcein vertically inhomogeneous media is investigated by a method presented in this paper. The basicequations in Fourier transforms and Laplace transform are obtained in the form of two sets of firstorder linear ordinary differential equations in z, Eq. (7). Furthermore, for N-layered media, thegeneral solution in the transformed spaces of the j-th layer is given for fully connected interfacebetween layers, Eq. (11). Finally, under general condition, a closed-form solution for the quasi-statictransient displacements, stresses, temperature in the body can be obtained by the convolutiontheorems for the two integral transforms. In the final solution, the Green's functions can be expressedin terms of Hankel transforms of order zero and unity as well as inverse Laplace transform, and comeout rather neatly.