Calculation of thermal stresses in ceramic elements of the refractory channel walls of a magnetohydrodynamic generator

A method is proposed for calculating thermal stresses in ceramic solid and multilayer plates and in ceramic cylinders of finite length. The temperature field is assumed to vary only over the plate thickness or the cylinder length. The thermal stresses in plates are calculated with allowance for the temperature dependence of the modulus of elasticity and for the stress-strain state. Stresses in cylinders are calculated for a constant modulus of elasticity, in the form of polynomials of the radial and axial coordinates. The solution satisfies rigorously the compatibility and equilibrium equations and the boundary conditions at one end. The method is illustrated by examples.