论文标题

摩擦滑移的成核:屈服或断裂过程?

Nucleation of frictional slip: A yielding or a fracture process?

论文作者

Castellano, Miguel, Lorez, Flavio, Kammer, David

论文摘要

在剪切负荷下接触物体之间的摩擦滑动的开始是由局部滑动斑块的准静态生长成核的。达到一定的临界大小后,这些斑块变得不稳定并继续动态增长,最终导致整个接口的滑动。根据驱动其生长的主要过程,已使用两种不同的理论来计算此类斑块的成核长度。如果仅是接触抗性的屈服(大规模屈服),则基于线性稳定性分析应用应力标准,而如果断裂主导,则基于断裂力学和经典成核理论,应用了能量标准。两种方法都包含非常适合描述一种情况或另一种情况的重要基础假设。但是,两者之间发生的事情并未被任何一个捕获。在这项工作中,我们使用数值模拟来研究不同条件的不同条件以及对成核动力学和摩擦滑动的发作的主要基础过程驱动成核的主要是什么。我们表明,较大的摩擦异质性使从屈服驱动的成核阶段过渡到骨折驱动的阶段。这种过渡仅出现在一定水平的异质性水平以上,并且可以是准静态(稳定)或动态(不稳定),这取决于沿界面摩擦强度的相关长度以及最强和最弱点(幅度)之间的强度差异。不稳定的转变会产生局部动态滑移事件,其幅度随着相关长度而增加,并且随着幅度较大而减小。我们的工作为异质性和断裂在摩擦滑移成核中的作用提供了新的启示,从而弥合了两个主要管理理论的缝隙之间的差距。

The onset of frictional sliding between contacting bodies under shear load is nucleated by the quasi-static growth of localized slip patches. After reaching a certain critical size, these patches become unstable and continue growing dynamically, eventually causing the sliding of the entire interface. Two different theories have been used to compute the nucleation length of such patches depending on the dominant process driving their growth. If it is only the yielding of contact asperities (large-scale yielding), a stress criterion is applied, based on linear stability analysis, whereas if fracture dominates, an energy criterion is applied, based on fracture mechanics and classical nucleation theory. Both approaches contain important underlying assumptions that are well-suited to describe either one situation or the other. However, what happens in-between is not captured by any of them. In this work, we use numerical simulations to study what is the dominant underlying process driving nucleation for different conditions of heterogeneity and what are the implications for nucleation dynamics and the onset of frictional sliding. We show that large frictional heterogeneities enable a transition from a yielding-driven nucleation phase to a fracture-driven one. This transition occurs only above a certain level of heterogeneity and can either be quasi-static (stable) or dynamic (unstable), depending on the correlation length of frictional strength along the interface and the difference in strength between the strongest and the weakest point (the amplitude). Unstable transitions generate localized dynamic slip events, whose magnitude increases with higher correlation length and decreases with larger amplitude. Our work sheds new light on the role of heterogeneity and fracture in the nucleation of frictional slip, bridging the gap between the two main governing theories for nucleation.

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