Transient thermal stresses of annulus elliptical plate with mixed-type boundary conditions.

Abstract

In this paper, we deal with transient thermal stress problem of an annulus elliptical plate subjected to internal heat source with mixed-type boundary conditions. The solution of conductivity equation and the corresponding initial and boundary conditions are obtained by employing anew integral transform technique.The governing equation for small deflection is found and utilized to find intensities of thermal bending moments and twisting moments, etc. involving Mathieu and modified functions and their derivatives. The analytical solution for the thermal stress components are obtained in terms of resultant forces and resultant moments, and same are illustrated graphically.

Keywords

• Elliptical annulus plate,temperature distribution,thermal stresses,Mathieu function,thermal moment.