Analytical solutions to thermoelastic plane axisymmetric problems for random non-homogeneous media

Aiming at the random non-homogeneous media thermoelastic axisymmetric problem, and under the random Weibull and exponential distributions, a new method to solving the random probability distribution using the expression of continuous function is provided; and the analytical solutions are attained in the plane strain and plane stress model. The numerical experiment, discussing the change rule of thermal stress random distribution parameter m, indicates that there is distinct difference between non-homogeneous media themal stress and homogeneous media thermal stress in Weibull, but little difference in exponential distribution.