Asymptotic Solution of Elasticity Problem in the Vicinity of Irregular Boundary Point

The present paper presents a study of the stress-strain state (SSS) in the vicinity of an irregular boundary point. The distinctive feature of the solution of the boundary problem of the elasticity theory is stipulated by the boundary form: angular notches, cuts, and by the finite discontinuity (leap) of forced deformations in terms of the contact of the parts constituting the area coming to an irregular point of the area boundary. Stress-strain state in an irregular boundary point area is determined by solving the uniform elastic boundary value problem. For SSS analysis, strain and stress intensity factors are introduced in the vicinity of the irregular boundary point. The stress-strain state is analyzed in the area of an irregular boundary point, to be written by means of strain and stress intensity factors under recognition of their differences. The obtained SSS expression in the boundary notch area allows to write down the dominant term of the asymptotic behavior of the uniform boundary elasticity problem under recognition of the strain and stress intensity factors.