A new analytical model for the flattening of Gaussian rough surfaces

This paper advances an analytical incremental contact model for the purely elastic or elastic-perfectly plastic Gaussian rough surfaces. The is modelled by accumulation of identical circular contacts with radius given total truncated area at varying heights divided patch number. area-load relationship derived analytically, showing approximate linearity fraction up to 10%. Good agreement found between new proposed and direct finite element simulations. To characterize influence deformation, a dimensionless plasticity parameter introduced as ratio yield strain root mean square gradient surface. It demonstrated that general elastic-plastic response would approach limit increases.