The state of stress induced by the plane frictionless cylindrical contact.II. The general case (elastic dissimilarity)

In Part I of the paper, the authors have studied the contact problem betwee n a pin and an infinite plate containing a conforming hole, in the absence of friction and in the case of elastic similarity, obtaining a closed form result which generalizes the identical materials analysis of Persson (On th e stress distribution of cylindrical elastic bodies in contact, Ph.D. disse rtation, 1964). Here, in Part II, the general case of contacting materials is first studied numerically, finding that the effect of elastic dissimilarity (i.e. the se cond Dundurs' constant not being zero) is negligible for the dimensionless pressure distribution, the maximum influence being less than 2%. Vice versa , the influence on the relation between the contact area are semi-width, ep silon, and the dimensionless loading parameter E(1)(*)DeltaR/Q is indeed si gnificant; however, considering as an approximate pressure distribution the one of the elastically similar case, an extremely good approximation is ob tained for the general relation epsilon vs. E(1)(*)DeltaR/Q which can now t ake into account of both Dundurs' elastic parameters. In particular, the li miting value for epsilon (lim), towards which the contact tends under very high loads both under initial clearance or interference (or for any load fo r the perfect fit limiting case) is given as a function of both Dundurs' el astic parameters, alpha, beta as well as the load when complete contact is lost in an interference contact, epsilon (compl). Hence, a complete assessment of the strength of the contact can be obtained directly from the results of Part I of the paper, given that for a certain contact area extension, the correct value of load is used. (C) 2001 Elsevi er Science Ltd. All rights reserved.