标题： 从静摩擦到动摩擦的转变：来自二维模型的见解 显示英文标题

标题： Transition from static to kinetic friction: Insights from a 2D model

摘要： 我们描述了一个二维弹簧-块模型，用于模拟弹性滑块/刚性基底界面处从静摩擦到动摩擦的转变，该模型遵循一个简化的摩擦定律（Amontons-Coulomb）。 通过使用现实的边界条件，成功再现了一些先前无法解释的关于前兆微滑 fronts 的实验结果。 通过对界面应力的分析，我们推导出前兆长度随施加载荷变化的演化预测，以及微观和宏观摩擦系数之间的近似关系。 我们表明，由于弹性加载和与微滑相关的松弛导致的应力积累仅弱依赖于基础剪切裂纹传播动力学。 相反，裂纹速度通过一个非平凡的缩放参数，强烈依赖于瞬时应力和摩擦系数。 显示英文摘要

摘要： We describe a 2D spring-block model for the transition from static to kinetic friction at an elastic slider/rigid substrate interface obeying a minimalistic friction law (Amontons-Coulomb). By using realistic boundary conditions, a number of previously unexplained experimental results on precursory micro-slip fronts are successfully reproduced. From the analysis of the interfacial stresses, we derive a prediction for the evolution of the precursor length as a function of the applied loads, as well as an approximate relationship between microscopic and macroscopic friction coefficients. We show that the stress build-up due to both elastic loading and micro-slip-related relaxations depend only weakly on the underlying shear crack propagation dynamics. Conversely, crack speed depends strongly on both the instantaneous stresses and the friction coefficients, through a non-trivial scaling parameter.