Abstract
The statistics of the temperature and thermal stress are derived by perturbation method for functionally graded material plates (FGM plates) with uncertainties in the thermal conductivity and coefficient of linear thermal expansion and with arbitrary nonhomogeneous thermal and mechanical properties through the thickness of plate. The stochastic temperature and thermal stress fields are analyzed by approximating the FGM plates as multilayered plates with random thermal conductivity and coefficient of linear thermal expansion in each layer. Autocorrelation coefficients of the random properties and crosscorrelation coefficients between the random properties are expressed in exponential function forms as homogeneous Markov random field of discrete coordinate.
