Stress state near loaded holes in anisotropic plates

Abstract

Special representations of the solution are constructed and solving integral equations of the problem of the elastic equilibrium of a finite anisotropic plate weakened by an elliptical hole or rectilinear crack are derived. The absence of the unknown function for the boundary of the internal hole (crack) makes it possible to propose an effective algorithm for the problem's numeric solution. The results of calculations, which illustrate the effect of the external boundary and material anisotropy on the stress distribution near loaded holes of different sizes, are presented. Direct comparison with the finite-element method indicates that the proposed algorithm significantly lowers the amount of input data, the computer time, and the required volume of memory with comparable accuracy.