Thermoelastic state of a body with two coplanar thermally active circular cracks

Abstract

We solve the stationary problem of heat conduction and thermoelasticity for an infinite body with two identical coplanar thermally active circular cracks on which a temperature or heat flow is given. By using harmonic potentials of a simple and double layer, we reduce the problem to singular integral equations with regular kernels. If the distance between the centers of the cracks is larger than the sum of their radii, then we replace the regular kernels by degenerate kernels and obtain the exact solutions of the equations the right-hand sides of which are polynomials of the second degree. The components of the stress tensor and stress intensity factors are determined. © 2013 Springer Science+Business Media New York.