A model for dry friction is developed based on a model of a shearing layer with a smooth elastic–inelastic transition. The resulting model for friction has a single history-dependent variable that characterizes elastic shear strain in the layer and is determined by integrating an evolution equation for its rate. The model uses an experimentally determined functional form for the coefficient of friction which decreases with increased shearing rate. The shear stress applied to the shearing layer is proportional to the normal compressive stress for transient response and the proportionality function becomes the coefficient of friction for steady-state response. The model also predicts the observed result that the transitional total shear strain for a jump in total shearing rate remains in a specified range for a large range of applied shear rate and is independent of the applied normal stress.

基于具有平滑弹性-非弹性过渡的剪切层模型开发了干摩擦模型。由此产生的摩擦模型有一个单一的历史相关变量，该变量表征层中的弹性剪切应变，并通过对其速率的演化方程积分来确定。该模型使用实验确定的摩擦系数函数形式，摩擦系数随着剪切速率的增加而减小。施加到剪切层的剪切应力与瞬态响应的法向压缩应力成正比，比例函数成为稳态响应的摩擦系数。