Abstract
The purpose of this paper is to discuss the influence of a curvature discontinuity in two-dimensional Hertz contact problems. We analyse here the frictionless unilateral contact problem between an elastic cylinder and a rigid plane support. At the first contact point, the surface profiles present a curvature discontinuity. The problem is solved in the context of the boundary element method by a new numerical method based on a regularity result for the contact area boundary. The numerical results show that the curvature discontinuity strongly influences the contact pressure distribution which significantly differs from the classical Hertz theory one.
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