EXACT SOLUTION FOR THE CRACK EMANATING FROM THE TOP OF TWO DISSIMILAR WEDGES

Abstract

In the framework of the antiplane problem, a closed connection of two different isotropic wedges is considered, from the top of which a finite-length crack emerges at an arbitrary angle to the axis of symmetry of the structure. By reducing the problem to the Wiener-Hopf scalar equation, its exact solution is obtained. The dependence of the stress intensity factor (SIF) at the crack tip on the structural parameters is studied. The effects of increase and decrease of KIN in comparison with the case of a homogeneous medium are analyzed. It is shown that the stress asymptotics near the junction vertex can have one or two singular terms that determine both strong and weak singularities at this singular point.

Keywords

• antiplane crack
• closed bimaterial wedge
• strong singularity
• weak singularity