Evaluations of the solution to the homogeneous plane problem of the theory of elasticity in the neighborhood of an irregular boundary point

Moscow state university of civil engineering, Yaroslavskoye shosse, 26, Moscow, Russia, 129337

^* Corresponding author: lfrishter@mail.ru

Abstract

The most complex stress-strain state (SSS) occurs in the domain of stress concentration due to the shape of the boundary (“the geometric factor”) and the finite discontinuities of the specified forced deformations, the mechanical properties, emerging at the irregular point of the boundary of the domain. In this paper, there is a review of the methods for analyzing the particular qualities of the solution to the problem of the theory of elasticity, due to the shape of the boundary or “the geometric factor”. The features of the stress-strain state of constructions and structures, possessing “constructive heterogeneity” under the action of discontinuous forced deformations, are stress concentrators, determined on the polymer models of the photoelastic method. For interpreting and decoding of experimentally obtained local SSS in stress concentration domains of structures there are given estimations of the solution to homogeneous plane problem of the elasticity theory in neighborhood of an irregular boundary point.