Stress-Intensity Factors for an Insulated Half-Plane Crack

This paper is concerned with determining the stress-intensity factors due to disturbance of a uniform flow of heat by an insulated half-plane crack in an elastic solid. The spatial thermoelastic problem is formulated in terms of Papkovich-Neuber displacement potentials and is solved by the application of Kontorovich-Lebedev integral transform and certain singular solutions of Laplace equation in three dimensions. The analysis reveals that four distinct displacement potentials are needed to satisfy the finite displacement and inverse square root stress-singularity at the edge of the crack. Closed-form expressions are obtained for the stress-intensity factors (k₂ and k₃) and their variations along the crack border are shown in curves.