Shlomai Hadar, Kammer David S, Adda-Bedia Mokhtar, Fineberg Jay
The Racah Institute of Physics, The Hebrew University of Jerusalem, 91904 Jerusalem, Israel.
Institute for Building Materials, ETH, 8093 Zürich, Switzerland.
Proc Natl Acad Sci U S A. 2020 Jun 16;117(24):13379-13385. doi: 10.1073/pnas.1916869117. Epub 2020 Jun 1.
Frictional motion between contacting bodies is governed by propagating rupture fronts that are essentially earthquakes. These fronts break the contacts composing the interface separating the bodies to enable their relative motion. The most general type of frictional motion takes place when the two bodies are not identical. Within these so-called bimaterial interfaces, the onset of frictional motion is often mediated by highly localized rupture fronts, called slip pulses. Here, we show how this unique rupture mode develops, evolves, and changes the character of the interface's behavior. Bimaterial slip pulses initiate as "subshear" cracks (slower than shear waves) that transition to developed slip pulses where normal stresses almost vanish at their leading edge. The observed slip pulses propagate solely within a narrow range of "transonic" velocities, bounded between the shear wave velocity of the softer material and a limiting velocity. We derive analytic solutions for both subshear cracks and the leading edge of slip pulses. These solutions both provide an excellent description of our experimental measurements and quantitatively explain slip pulses' limiting velocities. We furthermore find that frictional coupling between local normal stress variations and frictional resistance actually promotes the interface separation that is critical for slip-pulse localization. These results provide a full picture of slip-pulse formation and structure that is important for our fundamental understanding of both earthquake motion and the most general types of frictional processes.
接触物体之间的摩擦运动由本质上是地震的传播破裂前沿控制。这些前沿会破坏构成分隔物体界面的接触点,从而实现它们的相对运动。当两个物体不相同的时候,就会发生最普遍类型的摩擦运动。在这些所谓的双材料界面中,摩擦运动的起始通常由高度局部化的破裂前沿介导,即滑移脉冲。在这里,我们展示了这种独特的破裂模式是如何发展、演变并改变界面行为特征的。双材料滑移脉冲最初以“亚剪切”裂纹(比剪切波慢)的形式出现,这些裂纹会转变为成熟的滑移脉冲,在其前沿法向应力几乎消失。观察到的滑移脉冲仅在一个狭窄的“跨音速”速度范围内传播,该范围介于较软材料的剪切波速度和一个极限速度之间。我们推导了亚剪切裂纹和滑移脉冲前沿的解析解。这些解既能很好地描述我们的实验测量结果,又能定量解释滑移脉冲的极限速度。我们还发现,局部法向应力变化与摩擦阻力之间的摩擦耦合实际上促进了对滑移脉冲局部化至关重要的界面分离。这些结果提供了滑移脉冲形成和结构的全貌,这对于我们从根本上理解地震运动和最普遍类型的摩擦过程都很重要。