State-Space Approach in Generalized Thermoelasticity for an
Infinite Layer Materials with Variables Properties
Hamdy M.Yosef and Hany H.Sherief
Abstract
The problem in generalized thermoelasticity of an infinite layer of finite
thickness is due to Green and Lindsay. One of the surfaces of the layer is
traction free and acts upon by a thermal shock. The other surface is laid on a
rigid foundation and is thermally insulated. Here the thermal conductivity
depends on the temperature. Laplace transform and state-space approach are used
to obtain the solution. The inverse transform is obtained numerically. The
temperature, displacement and stress distributations are represented
graphically.