Numerical solution of singular integral equations for planar problems in the theory of elasticity for a body with corner points at the edges

Summary Singular integral equations have been used to derive numerical solutions for planar cases in the theory of elasticity for bodies bounded by piecewise-smooth edges with allowance for the stress singularities at the corner points. Problems are considered on tension and shear for an infinite plate weakened by a semicircular hole or by a smooth curvilinear crack or a two-part kinked one. Values are given for the stress-intensity coefficients at the corner points and at the crack vertices.Translated from Fiziko-Khimicheskaya Mekhanika Materialov, Vol. 25, No. 3, pp. 68–75, May–June, 1989.