This paper describes a model to study the contact between two purely longitudinally rough surfaces based on the parabolic indentor problem in elasticity. Rough surfaces are characterized with three parameters: rms roughness, autocorrelation length, and bearing area. Problems encountered by conventional roughness models are treated here. It is shown that the average contact pressure and real contact area obtained from this model agree very well with a computationally more intensive model developed by Lee (1989), up to the bulk yielding pressure.

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