Abstract
An analytical model has been developed to study the effect of asperity geometry on the abrasive wear behaviour of an ellipsoidal asperity sliding through a plastically deforming substrate. The model computes the penetration depth and wear profile of the substrate as a function of the applied load and asperity geometry, i.e. asperity's axes sizes and orientation relative to the sliding direction. Also using the wear profile obtained from the numerical-material point method (MPM) simulations, the area of the worn track is computed as a function of the asperity geometry. Sliding experiments are performed on a lubricated steel substrate to characterize the wear volume as a function of the asperity geometry and applied load, the degree of wear parameterized based on the degree of penetration and curve-fitted to be implemented in the developed analytical model. The MPM model is used along with the analytical model to study the transition between the abrasive wear modes. The analytical wear volume is compared with the experimental wear volume and found to be in good agreement.
Highlights
Loading and sliding of two bodies relative to each other can result in removal of material from the surface of the softer body, termed as abrasive wear
The theoretical transition from ploughing to cutting wear based on equations (7.1) and (7.2) is compared with that obtained from the material point method (MPM) ploughing simulations on a rigid-plastic sub strate
An analytical model has been developed to compute the abrasive wear volume due to material removed in cutting during sliding of an ellipsoidal pin on a lubricated steel substrate
Summary
Loading and sliding of two bodies relative to each other can result in removal of material from the surface of the softer body, termed as abrasive wear. The geometry of a rigid asperity sliding through a softer substrate plays a significant role in determining the abrasive wear of the substrate In this regard, different asperity geometries ranging from two dimensional (infinite-length) wedges and cylinders [1,2] to pyramids (with square and hexagonal bases) and spheres have been studied [3,4]. Mathematical models have helped a great deal in understanding the effect of asperity geometry on friction and wear during sliding of an asperity. Both analytical and numerical models have been used to study and model the sliding of a rigid-asperity through a substrate. In a two-body system in relative motion, are shown to be interdependent and affected by plastic deformation of the bodies and shearing of the contact interface [5]
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