A 3D contact investigation of rough surfaces considering elastoplasticity

Abstract

In this work, the non-penetration condition and the interface models for contact, taking into account the surface microstructure, are investigated in detail. It is done using a homogenization procedures presented by Bandeira, Wriggers and Pimenta (2001a), to obtain by numerical simulation the interface behavior for the normal and tangential contact pressures, based on statistical surface models. The contact surfaces of both bodies are rough. This paper can be regarded as a complementary study to that presented by Bandeira, Wriggers and Pimenta (2006). Here, the plasticity of the asperities is taken into account by assuming a constitutive equation based on an associated von Mises yield function formulated in principal axes. The plastic zones in the microstructure are shown to study in detail the contact interface. Numerical examples are selected to show the ability of the algorithm to represent interface law for rough surfaces, considering elastoplastic behaviour of the asperities.

Failure by deformation in the lateral contact between sinusoidal asperities

“…Jamari and Schipper 11 and Jamari et al 12 presented a process wherein the shape of the roughness is determined by transforming it by one with a paraboloid shape. Another way to represent the roughness is by means of the Bezier curves applied over the surface measurements, as shown in the works of Bandeira et al 13 and Bedolla et al 14 In recent studies, such as Persson, 15 Goedecke and Mock, 16 Mu¨ser, 17 and Wriggers and Nettingsmeier, 18 it has been proposed that periodic functions, such as sine or exponential, have better correspondence with surface topography, whose replication models consider both amplitude and length of roughness. These models replicate surfaces at multiple scales, in a continuous way and proportional to a fractal parameter with a Gaussian distribution of asperities.…”