The dynamic treatment of one-dimensional generalized thermoelastic problem of heat conduction is made for a layered thin plate which is exposed to a uniform thermal shock taking into account variable thermal conductivity. The basic equations are transformed by Laplace transform and solved by a direct method. The solution was applied for a plate of sandwich structure, which is thermally shocked, and is traction-free in the outer sides. The inverses of Laplace transforms are obtained numerically. The temperature, the stress, and the displacement distributions are represented graphically.
Youssef, H. M., & El-Bary, A. A. (2006). Thermal shock problem of a generalized thermoelastic layered composite material with variable thermal conductivity. Mathematical Problems in Engineering, 2006. https://doi.org/10.1155/MPE/2006/87940