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In a very recent paper, Sahli and coauthors [12] ( R. Sahli et al., 2018, “Evolution of real contact area under shear” , PNAS, 115(3), pp. 471-476) studied the contact area evolution for macroscopic smooth spheres under shear load in presence of adhesion. It was found that contact area A A reduces quadratically with respect to shear load T, i.e. A = A 0 - alpha A T 2 , where A 0 is the contact area with no shearing, and alpha A is the "area reduction parameter" found to be approximately proportional to A 0 -3/2  across 4 orders of magnitude of A 0 . In this note we focus on the smooth sphere/plane contact because we believe that the case of a rough contact requires separate investigations, and we use a known model of fracture mechanics, which contains a fitting parameter b which governs the interplay between fractures modes, in order to find very good agreement between the data and the analytical predictions, developing relatively simple equations. The interaction with modes is limited.

FRACTURE MECHANICS SIMPLE CALCULATIONS TO EXPLAIN SMALL REDUCTION OF THE REAL CONTACT AREA UNDER SHEAR