Evaluation of Axisymmetric Steady Thermal Stress and Thermal Stress Intensity Factor for Kassir's Nonhomogeneous Infinite Body with Penny-Shaped Crack.

Abstract

This paper is concerned with a theoretical treatment of thermal stress intensity factor for a medium with Kassir's nonhomogeneous material properties. As an analytical model, we consider an infinite body with a penny-shaped crack with radius a subjected to uniform heat flux from the crack surface. Assuming that the thermal conductivity λ, shear modulus of elasticity G and coefficient of thermal expansion α vary with the axial coordinate z according to the relations λ(z)=λ0(|z/a|+1)β, G(z)=G0(|z/a|+1)m, α(z)=α0(|z/a|+1)n, the axisymmetrical steady temperature solution is obtained. Thereafter, the associated thermal stress distribution and the thermal stress intensity factor are evaluated theoretically using the method of superposition. Numerical calculations are carried out for three different cases, and the results are shown in graphical form.