ANALYSIS OF CRITICAL STATES OF INHOMOGENEOUS JOINTS WITH AN INDIRECT CONTACT BOUNDARY

Abstract

Mathematical models of critical states of discrete heterogeneous joints under conditions of plane deformation are considered. The boundary between sections of different strengths is assumed to be a two-link polyline or contains such a fragment. The purpose of the work is to study the features of the characteristic fields (sliding lines) of such models and to find the stress state at the inner boundary. A characteristic variant of such a field is given; possible locations of stress rupture lines (lines of violation of smoothness of characteristics) and zones of plastic flow in a durable part of the joint are indicated. It has been established how the value of the coefficient of heterogeneity affects the appearance of a plastic section in a durable part of the joint.