Holian Brad Lee, Hammerberg James E
Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Sep;68(3 Pt 2):036101. doi: 10.1103/PhysRevE.68.036101. Epub 2003 Sep 3.
We present a minimal model of dry friction between two incommensurate interfaces sliding at high relative velocity. Many of the features of the friction force for the full two-dimensional many-body dynamical system-particularly in the sub-critical velocity regime-are captured by our one-dimensional Einstein model, where the motion of a typical interfacial atom is constrained to be vertical to the sliding plane. Beyond the linear response of force versus sliding velocity, the anharmonic Einstein model predicts a doublet resonance peak, whereupon a catastrophe in the model signals the onset of a plastic deformation mechanism for frictional sliding, namely, the instability of the interface. Higher velocities than this critical value require a much more sophisticated description of the production and coalescence of dislocations into a microstructure.
我们提出了一个关于两个非共格界面以高相对速度滑动时干摩擦的最小模型。我们的一维爱因斯坦模型捕捉到了完整二维多体动力学系统中摩擦力的许多特征，特别是在亚临界速度区域，其中典型界面原子的运动被限制为垂直于滑动平面。除了力与滑动速度的线性响应外，非谐爱因斯坦模型预测了一个双峰共振峰，据此模型中的一个突变标志着摩擦滑动塑性变形机制的开始，即界面的不稳定性。高于此临界值的速度需要对位错的产生和合并形成微观结构进行更为复杂的描述。
