Stress concentration of a strip with an elliptic inclusion under tension.

Abstract

A method of solution is developed for the stress concentration problem of an elastic strip with an elliptic elastic inclusion under tension. It is assumed that the contact surface between the inclusion and the surface of hole in the strip are perfectly bonded to each other. The fundamental principle of the method of solution is to distribute body forces in the interior of a strip and an infinite plate so as to satisfy the boundary conditions of the contact surface. For this purpose, we apply Green's functions for body force problems of a strip for the solutions of a strip with a hole, and fundamental solutions for an infinite plate for the solutions of an inclusion. Stress distributions around the inclusion in a strip are shown by numerical calculations and the influences of the moduli of elasticity and the sizes of inclusion to stress distribution are investigated.