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

arXiv Physics

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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.

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

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