Abstract
In this study the thermo-elastic analysis of a line crack interacting with a cracked elliptic hole and subjected to a uniform heat flux is carried out. By applying the complex variable method and rational mapping function technique, the solution to the given problem is obtained. This is accomplished by dividing the problem into the following three basic problems : (a) the problem of a cracked elliptic hole subjected to uniform heat flux (b) the problem of a cracked elliptic hole subjected to a heat source couple (c) and the problem of a cracked elliptic hole subjected to a point dislocation. By superposing the three basic problems so that the boundary condition of heat flux and stress on a line crack are satisfied, the solution to the given problem is obtained. Stress intensity factors at the crack tips are obtained soluting integral equation numerically and plotted for various orientation of the line crack and heat flux.
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