Intensity factors of homogeneous boundary value problem in angular area of the domain

Abstract

A relevant task in terms of ensuring reliable functioning of structures and constructions is studying structural areas with complex boundary shapes. Areas with geometrically non-linear shape of boundaries – angular cut-outs, cuts, and element connections with rupturing forced deformations – are characterized by singularities of the stress-strain state. In experimental research of areas with complex boundary shapes one must take into account the difference between stress intensity factors and deformation intensity factors. This paper describes a procedure for obtaining the stress-strain state in neighborhood of the angular cutout apex on the domain boundary using stress intensity factors and deformation intensity factors for a variety of homogeneous boundary conditions. In the angular cut-out area on the domain boundary, the stress-strain state is characterized by limit values of stresses and deformations, similar to stress intensity factors used with force criteria in fracture mechanics. Taking into account the ratios of stress and deformation intensity factors in experimental analysis of the stress-strain state in angular areas of structures is practically relevant for determining critical values of stress and deformation intensity factors.