Chemical Physics Department, Weizmann Institute of Science, Rehovot 76100, Israel.
Phys Rev Lett. 2011 Dec 2;107(23):235501. doi: 10.1103/PhysRevLett.107.235501. Epub 2011 Nov 28.
We propose a friction model which incorporates interfacial elasticity and whose steady state sliding relation is characterized by a generic nonmonotonic behavior, including both velocity weakening and strengthening branches. In 1D and upon the application of sideway loading, we demonstrate the existence of transient cracklike fronts whose velocity is independent of sound speed, which we propose to be analogous to the recently discovered slow interfacial rupture fronts. Most importantly, the properties of these transient inhomogeneously loaded fronts are determined by steady state front solutions at the minimum of the sliding friction law, implying the existence of a new velocity scale and a "forbidden gap" of rupture velocities. We highlight the role played by interfacial elasticity and supplement our analysis with 2D scaling arguments.
我们提出了一个摩擦模型,该模型包含界面弹性,其稳态滑动关系的特点是具有通用的非单调行为,包括速度弱化和强化分支。在一维情况下,并在施加侧向载荷时,我们证明了瞬态类裂纹前沿的存在,其速度与声速无关,我们提出这类似于最近发现的缓慢界面破裂前沿。最重要的是,这些瞬态不均匀加载前沿的性质由滑动摩擦律最小值处的稳态前沿解决定,这意味着存在新的速度尺度和破裂速度的“禁止间隙”。我们强调了界面弹性的作用,并通过二维尺度分析补充了我们的分析。