Stresses in an Orthogonal Aerotropic Plate with Hyperbolic Reentrances

Abstract

The problem of determining the stresses in an orthogonal aerotropic plate have been investigated by many authors, but they are hiefly in the cases, either of a plate having straight boundaries or of an infinite plate with a circular or an elliptic hole. In the present paper the aerotropic plate is supposed to be bound by two hyperbolic edges, and solutions are sought in three cases, namely under pure tension, pure shear and pure bending. The process used is similar to the Neuber's method, and in each case the coefficient of stress concentration is obtained in a simple form.