A review of boundary elements methodologies for elastic and viscoelastic rough contact mechanics

In this paper, we review the main contributions developed by the authors to solve problems involving contact between bodies with a roughness covering several orders of magnitude A periodic self-equilibrated formulation is introduced to avoid any border problem Furthermore, when focusing on the steady-state rolling or sliding contact mechanics between viscoelastic materials, we develop a mathematical formulation, parametrically dependent on the rolling/sliding speed, which employs the same computational techniques introduced for elastic rough contacts In particular, in both cases, we adopt an ad hoc discretization technique enabling us to reach the full convergence © 2014, Pleiades Publishing, Ltd.