The Influence of Slip Hardening and Interface Compliance on Contact Stress Distributions. A Mathematical Programming Approach

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ABSTRACT

The present study deals with elastic contact problems with friction. A new model of frictional interface behaviour is proposed, which is analogous to that previously used to describe elasto-plastic non-associated piecewise linear material behaviour. Some works which experimentally support the model are also reviewed.

In order to justify a finite dimensional approximation of the interface model, a variational formulation in combination with numerical integration is utilized. When this finite dimensional approximation is combined with a matrix equation, describing the elastic behaviour of contacting bodies, one obtains what has been termed a parametric Linear Complementarity Problem (LCP) involving derivatives. The author has previously modified a solution algorithm for parametric LCPs involving derivatives to apply to frictional problems and in the last section of the paper this algorithm is used to analyse a punch indentation problem. The influence of slip hardening and interface compliance on contact stress distributions are investigated.

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