STRESS-ANALYSIS OF AN INFINITE-PLATE CONTAINING 2 UNEQUAL COLLINEAR ELLIPTIC HOLES UNDER INPLANE STRESSES AT INFINITY

A closed form analytical solution to the problem of an infinite plate containing collinear unequal elliptical holes subjected to in-plane lo adings at an angle beta with respect to x or y-axis on infinite bounda ry of the plate is presented. The problem is formulated in the complex plane using the Kolosoff-Muskhelishvili's complex stress functions an d further the schwarz's Alternating Method is used to solve the proble m of doubly connected region. The stress concentration factor for hole s and stress intensity factors at all crack tips for varying sizes and centre to centre distances are evaluated. Some displacement formulati on and the checked by Finite Element Method using displacement formula tion and the two solutions are in good agreement. The present results are compared with reported ones obtained by other methods. An analytic al method for locating point in the vicinity of ellipses where the loc al and global strain energy density an equal is also presented.