We report on the elastic contact between a spherical lens and a patterned substrate, composed of a hexagonal lattice of cylindrical pillars. The stress field and the size of the contact area are obtained by means of numerical methods: a superposition method of discrete pressure elements and an iterative bisection-like method. For small indentations, a transition from a Hertzian to a soft-flat-p...

We show that Hertzian particle contacts are the underlying cause of as-yet-unexplained noninteger power laws in weakly nonlinear rheology. In medium amplitude oscillatory shear (MAOS) region, cubic scaling leading order stress ($\sigma_\mathrm{3} \sim \gamma_\mathrm{0}^{m_\mathrm{3}}$, $m_\mathrm{3}=3$) is standard expectation. Expanding on work by Natalia et al. [J. Rheol. 64 625-635 (2020)], ...

This paper reports the first results of a new interface between the multi-body simulation software SIMPACK Rail and Kalker’s wheel-rail contact software CONTACT. The main benefit is in the more accurate distributions of shear stress and micro-slip in the contact area, that together form the primary inputs to wear calculations. Further benefits of the interfacing reside in the ability to perform...

Ceramic crown structures under occlusal contact are often idealized as flat multilayered structures that are deformed under Hertzian contact loading. Previous models treated each layer as linear elastic materials and resulted in differences between the measured and predicted critical loads. This paper examines the combined effects of creep (in the adhesive and substrate layers) and creep-assist...

A solution based on a Hertzian approximation to the contact pressure distribution is obtained for the transient thermoelastic contact of a sphere sliding on a rigid non-conducting plane. With this simplification an integral equation formulation is obtained. In a nondimensional form the only independent parameter is the starting condition and numerical results are presented for various values. A...

A new model is developed that considers the effect of roughness on the elastic contact of spherical bodies. A general pressure distribution is proposed that encompasses the contact of rough spheres and yields the Hertzian theory for ideally smooth surfaces. A new parameter, nondimensional maximum contact pressure, is introduced and it is shown that this is the key parameter that controls the co...

The thermal contact resistance between the balls and the inner and outer rings of an angular contact ball bearing is investigated. It is assumed that the bearing sustains thrust, radial, or combined loads under a steady-state temperature condition. The shapes and sizes of the contact areas are calculated using the Hertzian theory. The distribution of internal loading in the bearing is determine...

A method of solution and the necessary calibrations are given to permit steady-state extent slip be found in contacts properly described within a half-plane formulation using only two parameters: contact law first-order descriptions tractions arising at edges. The approach takes assumption full stick corrects for regions an array glide dislocations. This is very versatile particularly appropria...