Dynamic Stress Concentration Factors in a Plane with Circular Hole Under the Action of Impact Nonaxisymmetric Loads

摘要

By using a modified finite-difference method with respect to time and the method of Fourier series with respect to the angular variable, we solve a plane dynamic problem of the theory of elasticity on the action of nonaxisymmetric impact forces on the edges of a circular hole in the infinite plane. We compute the time dependence of the stress concentration on the hole for different Poisson's ratios and the parameters of loading. It is shown that the action of concentrated forces on the hole can be modeled by forces parabolically distributed along the angular coordinate.