Thermal shock problem of a generalized thermoelastic layered composite material with variable thermal conductivity

The dynamic treatment of one-dimensional generalized thermoelasticproblem of heat conduction is made for a layered thin plate whichis exposed to a uniform thermal shock taking into account variablethermal conductivity. The basic equations are transformed byLaplace transform and solved by a direct method. The solution wasapplied for a plate of sandwich structure, which is thermallyshocked, and is traction-free in the outer sides. The inverses ofLaplace transforms are obtained numerically. The temperature, thestress, and the displacement distributions are representedgraphically