Various methods for solving the partial contact of surfaces with regularly periodic profiles—which might arise in analyses of asperity level contact, serrated surfaces or even curved structures—have previously been employed for elastic materials. A new approach based upon the summation of evenly spaced Flamant’s solution is used here to solve periodic problems in plane elasticity for sliding contact with Coulomb friction. The advantage is that solutions are derived in a straightforward manner without requiring extensive experience with advanced mathematical theory.

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