Investigation of stress concentration at special cross-section points of structural elements reinforced with coatings

Abstract

Investigation of stress concentration at special cross-section points of structural elements reinforced with coatings

Sobol B.V., Soloviev A.N., Rashidova E.V., Novikova A.I.

Incoming article date: 21.02.2023

The points of stress concentration in the sections of structural elements are considered. These include, in particular, crack tips that may appear both during operation and as a result of a violation of their production technology. The values of stress intensity factors in the vicinity of cracks in the considered sections with contour corner points are obtained. In addition, the study of indicators in the asymptotic solution of the elasticity theory problem for bodies made of isotropic materials in the vicinity of the structure rod element corner point of the section, where the sides (or one of them) are supported by a thin coating, was carried out. On the other side of the corner region, various conditions for its reinforcement are assumed, including the presence of a thin elastic coating. Mathematically, the solution of the problem is reduced to the transcendental characteristic equation solution, that is, to the problem of finding the equation roots that is constructed from the condition for the existence of a non-zero solution to a linear homogeneous equations system. The characteristics of the stress components were determined for various combinations of boundary conditions, physical and geometric parameters. Qualitative conclusions are made. In particular, values these parameters are established combinations , at which the behavior of stresses at the section corner point becomes singular.

Keywords: stress intensity factor, isotropic elastic bodies, structural element, section corner point , crack, thin elastic coating, boundary conditions, characteristic equation, stress concentration