Abstract
A stochastic temperature solution is derived for the heat conduction problem in a nonhomogeneous plate with random thermal conductivity by the perturbation method and the Laplace transform. The nonhomogeneous plate has the exponential variations in the thermal conductivity and mechanical properties through the plate thickness and is heated by the prescribed deterministic temperature on the plate surface. A stochastic thermal stress problem in the nonhomogneous plate is analysed for the random thermal conductivity or the random coefficient of linear thermal expansion by the reported thermal stress expression by one of present authors. Numerical results of the variance of thermal stress are presented for the case that the randomness in the thermal conductivity and coefficient of linear thermal expansion is assumed to be a uniform distribution.
