Author(s)

Jurgen Jager

Abstract

A generalization of the Cattaneo-Mindlin solution for thin bonded layers with arbitrary surfaces in plane contact is derived in this paper. We assume that equal layers are in contact, and show that the normal and tangential stress displacement equations are uncoupled and of the same form. In this case the stick condition for tangential shift is identical with the contact condition in normal direction, and the tangential problem can be reduced to the normal problem. Finally, an incremental solution is proposed for general load cases and compared with a numerical method for thick layers. We believe that this model illustrates typical features of elastic bodies with friction. 1 Introduction The problem of equal elastic spheres in contact with friction has been solved by Cattaneo^ and Mindlin^, using the half-space approxim

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