Stresses Around Arbitrary Shaped Hole In An Infinite Functionally Graded Plate

Abstract

In present work, a general solution for stresses around hole of arbitrary shape in an infinite functionally graded plate is obtained using Muskhelishvilli’s complex variable method. The hole is conformally mapped using Schwarz – Christoffel mapping onto area outside circle of unit radius. Stress functions are obtained and boundary conditions are evaluated using Schwartz integral. The hole is subjected to in-plane loading and in order to facilitate different loading, arbitrary biaxial loading conditions is applied at infinity. In this work, various parameters like geometry, variation of material properties, loading angle etc are studied. The solution obtained by present method is compared with literature and found to be in good agreement.