Research on Stress-Strain State in the Angular Domain Cut-Out Zone Using Photoelastic Method

Abstract

Current challenges in civil engineering practice call for creating and substantiating structural theory research approaches that correlate with the objects, processes and phenomena under study (physical models) to the fullest possible extent, and that provide reliable results for tackling engineering challenges. The topicality of this paper is associated with the choice of research method, i.e. the experimental photoelastic method. This method allows to obtain the local stress-strain state with the highest reliability when solving problems with specified rupturing forced deformations in the domain of significant structural non-homogeneity, i.e. geometrical stress concentrators. Boundary shape and finite discontinuity of specified forced deformations translate into emerging singularity of stress-strain state. The research aim consists in theoretical and experimental analysis of the stress-strain state in neighborhood of irregular point on the boundary of plane domain which the finite discontinuity (jump) of forced deformations emerges into. The singularities of strain-stress state of structures and constructions that are characterized by “structural non-homogeneity” and rupturing forced deformations are determined using polymer models of the photoelastic and deformation freezing method as stress concentrators whose domains are the focus of this article. Research results demonstrate that a zone of stress-strain state similarity exists in the domain of stress concentration under the action of rupturing forced deformations. This is confirmed by the similarity of experimental data. A formula for experimental data extrapolation is proposed that helps restore band orders in the domain of elasticity problem singular solution where isochromatics on the photoelastic method polymer model are unreadable or “poorly” readable.