thermal stresses

An axisymmetric problem for Gaussian-distributed heating of a lateral surface of an infinite cylinder is solved in the framework of fractional thermoelasticity based on the time-fractional heat conduction equation with the Caputo derivative. The representation of stresses in terms of displacement potential and Love function is used to satisfy the boundary conditions on a surface of a cylinder. The results of numerical calculation are presented for different values of the order  of fractional derivative and nondimensional time.

Reasons and mechanism of cordierite-mullite refractory materials destruction in the ovens for glazing ceramic wares baking have been examined. The change of elemental and phase compositions of refractory surface layers under the influence of cyclic action of water vapour and volatile components of glazing coating has been established. The ways of increasing cordierite-mullite refractory materials longevity have been proposed.