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The load-area relation of rough surfaces is of great interest in tribology.For elastic-plastic solids with strain hardening, an incremental model isadopted to analyze the contact of rough surfaces, in which the contact ismodeled by accumulation of equivalent circular contacts with varying radius.For three typical rough surfaces with various material properties, comparisonswith direct finite element calculations demonstrate the efficiency of thisincremental contact model. An approximate linear relation between load andcontact area is predicted by both methods up to a contact fraction of 15%. Theinfluence of yield stress and strain hardening index on the load-areaproportionality is presented. This work gives a simple while effective methodto calculate the load-area relation for rough contact of strain hardeningmaterials.

An Incremental Contact Model for Rough Surfaces of Strain Hardening Solids