Micro-slip of rough surfaces under cyclic tangential loading

摘要

A numerical model based on the solution of the normal contact betweenelastic half-spaces and subsequent post-processing according to the Mindlin and Deresiewicz solution for cyclic tangential loading is presented. Thanks to a recent extension of the Cattaneo-Mindlin analogy to the solution of tangential contact between non-convex domains, the proposed approach enables the study of cyclic microslip and energy dissipation between elastic bodies with general shapes in contact. In order to make the procedure straightforward and as general as possible, a nondimensional formulation, based only on the normal contact load displacement curve, is proposed. The cyclic behaviour of the tangential contact of self-affine fractal surfaces, like those generated by fracture of concrete or rock, is described with several examples.