论文标题
摩擦破裂中滑动脉冲发作的最小模型
A minimal model for the onset of slip pulses in frictional rupture
论文作者
论文摘要
我们提出了一个最小的一维模型，用于从裂纹的裂纹破裂的脉冲样转变为脉冲样繁殖。该模型以其非二维形式仅取决于两个自由参数：无量纲预压力和弹性比，该参数解释了系统的有限高度。该模型包含用于滑动边界条件的稳定滑动脉冲解决方案，以及应力边界条件的不稳定滑移脉冲解决方案。结果表明，脉冲样破裂的存在仅需要弹性放松和对初始预压力的重新分布。我们发现的新颖性是，沿摩擦界面的脉冲样繁殖是一种通用的弹性特征，其存在对动态摩擦的特定速率或滑移依赖性不敏感。
We present a minimal one-dimensional model for the transition from crack-like to pulse-like propagation of frictional rupture. In its non-dimensional form, the model depends on only two free parameters: the non-dimensional pre-stress and an elasticity ratio that accounts for the finite height of the system. The model contains stable slip pulse solutions for slip boundary conditions, and unstable slip pulse solutions for stress boundary conditions. Results demonstrate that the existence of pulse-like ruptures requires only elastic relaxation and redistribution of initial pre-stress. The novelty of our findings is that pulse-like propagation along frictional interfaces is a generic elastic feature, whose existence is not sensitive to particular rate- or slip-dependencies of dynamic friction.
