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粘性弹性界面处滑移的起始与扩展

Onset and propagation of slip at adhesive elastic interfaces.

作者信息

Dawara Vineet, Viswanathan Koushik

机构信息

Department of Mechanical Engineering, <a href="https://ror.org/04dese585">Indian Institute of Science, Bangalore</a>, India.

出版信息

Phys Rev E. 2024 Aug;110(2-2):025004. doi: 10.1103/PhysRevE.110.025004.

Abstract

The transition from static to dynamic friction when an elastic body is slid over another is now known to result from the motion of interface rupture fronts. These fronts may be either cracklike or pulselike, with the latter involving reattachment in the wake of the front. How and why these fronts occur remains a subject of active theoretical and experimental investigation, especially given its wide ranging implications. In this work, we investigate the role of boundary loading in answering this question using an elastic lattice-network model under displacement/velocity controlled loading. Bulk elastic and interface bonds are simulated using a network of springs, with a stretch-based detachment and reattachment rule applied to interface bonds. We find that, contrary to commonly used rigid body models with Coulomb-type friction laws, the type of rupture front observed is very closely linked to the location of the applied boundary displacements. Depending on whether the sliding elastic solid is pulled, pushed or sheared-all equivalent in the rigid case-distinct interface rupture modes can occur. We quantify these rupture modes, evaluate the corresponding interface stresses that lead to their formation, and and study their subsequent propagation dynamics. Our results reveal quantitative analogies between the sliding friction problem and mode II fracture, with attendant wave speeds ranging from slow to Rayleigh. We discuss how these fronts mediate interface motion and implications for the general transition mechanism from static to dynamic friction.

摘要

当一个弹性体在另一个弹性体上滑动时,从静摩擦到动摩擦的转变现在已知是由界面破裂前沿的运动引起的。这些前沿可能是裂纹状或脉冲状的,后者涉及前沿过后的重新附着。这些前沿如何以及为何出现仍然是一个活跃的理论和实验研究课题,特别是考虑到其广泛的影响。在这项工作中,我们使用位移/速度控制加载下的弹性晶格网络模型,研究边界加载在回答这个问题中的作用。使用弹簧网络模拟体弹性键和界面键,并对界面键应用基于拉伸的分离和重新附着规则。我们发现,与常用的具有库仑型摩擦定律的刚体模型相反,观察到的破裂前沿类型与施加的边界位移的位置密切相关。取决于滑动弹性固体是被拉动、推动还是剪切——在刚体情况下这三者是等效的——会出现不同的界面破裂模式。我们对这些破裂模式进行量化,评估导致它们形成的相应界面应力,并研究它们随后的传播动力学。我们的结果揭示了滑动摩擦问题与II型断裂之间的定量类比,伴随的波速范围从慢到瑞利波速。我们讨论这些前沿如何介导界面运动以及对从静摩擦到动摩擦的一般转变机制的影响。

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