On the accurate prediction of interfacial micro-slip in frictional joints using distributed dislocations and quadratic programming techniques

Relative displacement between pre-stressed and frictionally interlocked components can play a major role in the failure of mechanical assemblies. The undesired relative motion between the mating parts constituting the coupling may be the result of the accumulation of interfacial micro-slip along a preferred direction. Classical approaches for the design of these systems are based on macroscopic criteria, where potentially severe localised stress conditions giving rise to micro-slip are not considered. A quadratic programming approach which enables to resolve interfacial micro-slip adopting the distributed dislocation technique is proposed here to overcome the limitation of existing formulations.