ANTIPLANE DEFORMATION BY CONCENTRATED FACTORS OF BOUNDED BODIES WITH CRACKS AND RIGID INCLUSIONS

摘要

We propose two approaches to the solution of problems of antiplane deformation of bounded bodies with thin-walled defects by concentrated factors. The first is a numerical approach based on the boundary element method, in which the Volterra approach was developed to take into account the action of screw dislocations, and special tip boundary elements were introduced to determine the stress intensity factors. The second is an analytic-numerical method of direct full cutting, in which bounded bodies are modeled by using a space with a system of inhomogeneities contacting with each other, and, at the contact points, certain a priori unknown concentrated forces and dislocations act, which enables us to increase substantially the accuracy of computations for a small size of the resultant system of equation. Specific numerical examples for a body (bar) with a square cross-section containing a strip crack or rigid inclusion under the action of concentrated forces and screw dislocations have been considered.