A periodic system of parallel slits with contacting edges in a distended plate

Abstract

We consider the problem of distention of an infinite plate containing a periodic system of parallel slits whose edges make contact in one of its face planes. We take account of the local bending of the plate in a neighborhood of the defects. On the basis of an approximate analytic solutions and a numerical solution of the singular integral equation of the problem we study the influence of the period of location of the defects on the size of the slit openings and the distribution of the reaction in the contacting edges. We compute the stress intensity factors and moments and determine the destructive load. We give a comparison of the results obtained with the known solution of the periodic problem for parallel slits with load-free edges.