Bending of layers weakened by cuts

Abstract

In the present paper, a method proposed by one of the authors is extended to a class of skew-symmetric elastic problems for the stress analysis of a layer supported by sliding fixed supports and weakened by several stress raisers. The corresponding boundary value problem is reduced to an infinite system of one-dimensional singular integral equations of the second kind. The expressions for the stress components in an elastic layer weakened by stress raisers are presented. Based on the developed analytical algorithm, extensive numerical investigations have been conducted. The results of these investigations are illustrated graphically exposing some novel qualitative and quantitative knowledge about stress concentration in the layer depending on some geometric parameters of stress raisers and Poisson’s ratio of a layer material.