Stress Concentration Near a Half-Plane Weakening Hole

Abstract

In the paper, stress state of an elastic, isotropic and homogeneous weighty half-plane weakened by an elliptic hole with two rectilinear cracks is considered. The domain S occupied by a body consists of a lower half-plane bounded by the straightline L2 and a contour of the hole L1. The elastic medium, in addition to its specific weight at the infinity is subjected to the action of uniformly-distributed pressure of intensity q on the segment -a< t < a of a rectilinear boundary L1 of the half-plane. The hole's contour is free from external forces. Many aspects of such problems have been considered in the papers(1; 3; 6; 7; 8; 10). But the case that we investigate is considered for the first time (this is connected with defini- tion of the mapping function and also complexity of acting force factors).