Load-Displacement Relation and Gap Distribution Between Rough Surfaces: Partial Differential Equations Approach

Joe, Junki; Wang, Anle; Barber, James R.

doi:10.1016/j.jmps.2023.105397

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Load-Displacement Relation and Gap Distribution Between Rough Surfaces: Partial Differential Equations Approach

Joe, Junki·Wang, Anle·Barber, James R.

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Abstract

We develop a theoretical model to predict the load-displacement relation and probability density function for gaps between contacting rough surfaces. We derive partial differential equations from the previous model (Joe et al., 2018), and extend them to the non-adhesive contact problem. The predictions of the present theory are compared with numerical results using the Green's function molecular dynamics algorithm, and a good agreement is obtained.

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adhesion CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS contact mechanics rough surface roughness

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Joe, Junki, Wang, Anle, Barber, James R.. 2023-08-06. Load-Displacement Relation and Gap Distribution Between Rough Surfaces: Partial Differential Equations Approach. https://doi.org/10.1016/j.jmps.2023.105397

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