Dependence of normal contact stress on the surface morphology of solid surfaces: Philosophical Magazine Letters: Vol 83, No 3

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Contact problems between two solids are essential to interpret the loading-unloading behaviour in indentation tests. Using linear elastic theory, a general relationship between the normal stress and the surface deformation for elastic contact of two solids was derived, in which the normal stress is a function of the mean curvature of the undeformed surface.

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