Stress and strain intensity factors within angle area of the boundary

Abstract

Stress and strain state of the designs and structures within the area (zone) with angle cutouts, boundary cuts are characterized by emergence of the stress concentration areas and requires assessment of strength and reliability of facilities that is an actual task of the engineering practice. The theoretical study of stress and strain state within angle cutouts of the boundary area is reduced to research of singular solutions for the elastic problem with power singularity. Moreover, definition of stress or strain concentration in the non-regular point of the area boundary loses its significance. The stress and strain state within angle cutout top of the plane area boundary, which is recorded with use of intensity factor, is considered in the article. Two approaches to obtaining of formula for displacements and stresses within non-regular point of the plane area boundary with use of the stress and strain intensity factor are given. A difference in formula of stresses and displacement obtained for the limit values of stress and strain determine the practical significance of the work during experiments and determination of critical values for stress and strain.