A field theoretic model for static friction

TL;DR

This paper introduces a field theoretic model to calculate static friction coefficients based on elastic surface properties, confirming classical laws and matching observed values.

Contribution

It presents a novel theoretical framework linking elastic properties to static friction, enabling calculations of friction coefficients for specific cases.

Findings

Friction force proportional to normal load as per Amonton's laws

Static coefficient of friction independent of apparent surface area in first approximation

Model's predictions agree with observed static friction values

Abstract

We present a field theoretic model for friction, where the friction coefficient between two surfaces may be calculated based on elastic properties of the surfaces. We assume that the geometry of contact surface is not unusual. We verify Amonton's laws to hold that friction force is proportional to the normal load.This model gives the opportunity to calculate the static coefficient of friction for a few cases, and show that it is in agreement with observed values. Furthermore we show that the coefficient of static friction is independent of apparent surface area in first approximation.