The slope of the friction law of hertzian-asperity--based metainterfaces has a finite positive lower bound

2026/07/02 by Julien Scheibert · 1 voice
Physics and Astronomy · #physics.class-ph

paper · pdf · doi:10.1016/j.triboint.2026.112422

Abstract

Metainterfaces can realize specified evolutions of their friction force as a function of the confining normal force (friction law), thanks to the design of the individual radii and heights of a population of independent hertzian asperities. However, not all friction laws are achievable. Here I show that, contrary to a suggestion from the literature, the slope of the friction law has a finite positive lower bound. This result is useful to identify friction laws that are not accessible to metainterfaces.

Citations

• Automated Discovery of Metainterfaces with Tailored Friction Laws
• Normal contact of metainterfaces: the roles of finite size and microcontact interactions
• Friction on Demand: A Generative Framework for the Inverse Design of Metainterfaces
• Modeling and simulation in tribology across scales: An overview
• Contact of nominally flat surfaces

Discussions

• Julien Scheibert (LTDS): The slope of the friction law of hertzian-asperity--based metainterfaces has a finite positive lower bound https://arxiv.org/abs/2607.01892 https://arxiv.org/pdf/2607.01892 ht [bsky, 0 points, 0 comments]

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