Stress Analysis of Finite Isotropic Plate using Boundary Collocation Technique

Abstract

Openings/cutouts are made into structures in order to satisfy some service requirements. These openings can degrade the strength and stiffness of components. In order to ensure safety and reliability, it is necessary to predict the behavior of stress pattern around openings/cutouts under the application of various types of loading conditions.

In the present work, stress functions for a finite isotropic plate with circular hole subjected to in-plane loading have been obtained using Mushkelishivilli's complex variable approach. The area outside the given hole is mapped conformably to the area outside the unit circle in ζ-plane and boundary collocation technique is used to obtained generalized stress functions. Obtained general solutions are coded. The different loading conditions considered here include uni-axial tension, equi-biaxial tension.

Plane stress finite element model for some cases are presented and results are compared with present method. The results are in close conformation.