Multiasperity Contact Adhesion Model for Universal Asperity Height and Radius of Curvature Distributions

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Abstract
A new approach to the multiasperities contact interaction between two surfaces is presented. Each asperity is individually considered with its own different height and radius of curvature. Different materials, such as polyvinylchlorine (PVC) and stainless steel, are used as model systems. For each of the model materials, a set of asperities was generated using Monte Carlo method. Both asperity heights and radii were based on their statistical distributions experimentally obtained. Contact forces were determined for each asperity at a given distance between the two surfaces, while the deformation of each asperity was calculated according to the Johnson−Kendall−Roberts (JKR) or the Derjaguin−Muller−Toporov (DMT) model (depending on the material). The contribution of each asperity to the overall surface was summed, and the overall contact force was determined. The developed method was validated against contact force measurements obtained with atomic force microscopy (AFM).

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