相反运动的分离波介导软界面处的粘滑摩擦
Opposite moving detachment waves mediate stick-slip friction at soft interfaces
摘要：
间歇运动，称为粘滑，是一种摩擦不稳定性，通常发生在两个弹性固体的相对滑动。在粘性聚合物接触中，弹性和界面粘附力是强耦合的，粘滑是由界面处缓慢分离波的传播引起的。使用\emph{in situ}成像实验在一个粘合剂接触，我们显示了两个不同的分离波平行移动（Serryamach波）和反平行（分离波）的应用远程滑动的发生。这两种波在相同的方向上引起滑动，并且以比任何弹性波的速度小得多的速度行进。我们使用一个弹性动力学框架来描述这些慢剥离波在弹性-刚性界面的传播，并获得控制积分方程在低波速限制。当弹性固体不可压缩时，这些积分方程以封闭形式求解。两个解决方案分支出现，对应于相反的运动剥离波，正如在实验中看到的。一个数值方案是用来获得界面应力和速度的不可压缩的情况下，任意泊松比。基于这些结果，我们明确地证明了传播的慢剥离波和静态双材料界面裂纹之间的对应关系。在此基础上，再加上最近提出的动态摩擦断裂类比，我们开发了一个相图显示域的可能发生的粘-滑通过剥离波与稳定的界面滑动。
英文摘要：
Intermittent motion, called stick--slip, is a friction instability that commonly occurs during relative sliding of two elastic solids. In adhesive polymer contacts, where elasticity and interface adhesion are strongly coupled, stick--slip results from the propagation of slow detachment waves at the interface. Using \emph{in situ} imaging experiments at an adhesive contact, we show the occurrence of two distinct detachment waves moving parallel (Schallamach wave) and anti-parallel (separation wave) to the applied remote sliding. Both waves cause slip in the same direction and travel at speeds much lesser than any elastic wave speed. We use an elastodynamic framework to describe the propagation of these slow detachment waves at an elastic-rigid interface and obtain governing integral equations in the low wave speed limit. These integral equations are solved in closed form when the elastic solid is incompressible. Two solution branches emerge, corresponding to opposite moving detachment waves, just as seen in the experiments. A numerical scheme is used to obtain interface stresses and velocities for the incompressible case for arbitrary Poisson ratio. Based on these results, we explicitly demonstrate a correspondence between propagating slow detachment waves and a static bi-material interface crack. Based on this, and coupled with a recently proposed fracture analogy for dynamic friction, we develop a phase diagram showing domains of possible occurrence of stick--slip via detachment waves vis-á-vis steady interface sliding.
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