具有自放大摩擦的交错系统中的粘滑动力学
Stick-slip dynamics in an interleaved system with self-amplified friction
AI总结：
通过实验和模型研究交错纸块系统中的粘滑行为，发现峰值力和振幅随分离减小，并归因于法向压缩的演变。
摘要：
理解粘滑动力学如何在不同的物理条件下表现是摩擦学中的一个关键课题。尽管在简单的摩擦构型中已有广泛研究，但在复杂组件中表征粘滑行为具有挑战性。本文首次系统研究了具有多个接触面并通过将牵引力转化为法向压缩实现摩擦放大的系统中的粘滑动力学。以交错纸块为模型系统，结合力测量和图像处理，表征了以不同分离速度拉动两个纸块时发生的粘滑事件。我们发现，峰值力和粘滑事件的振幅都随系统的分离而减小。通过结合先前设计的摩擦放大模型和简单摩擦弹簧块系统预测的粘滑动力学，我们将观察到的行为与组件内演变的法向压缩联系起来。通过力测量和成像，我们从低速下的粘滑事件中提取了系统的有效刚度，并将其与系统的法向压缩相关联。然后，通过考虑组件内法向力的空间分布（这决定了影响系统机械响应的有效片层数量），我们预测了全局刚度随分离而减小的现象。我们的发现揭示了内部应力分布与由摩擦力介导的机械响应之间的非平凡相互作用，对颗粒材料、纺织品、纤维系统和机械超材料具有启示意义。
英文摘要：
Understanding how stick-slip dynamics manifests in diverse physical conditions is a crucial topic in tribology. Although it has been extensively studied in simple frictional configurations, the characterization of stick-slip behavior in complex assemblies is challenging. This work presents the first systematic investigation of stick-slip dynamics in a system with multiple contact surfaces undergoing friction amplification through conversion of traction forces into normal compression. Using interleaved paper blocks as a model system, we combine force measurements and image processing to characterize stick-slip events occurring when the two blocks are pulled apart at different detachment velocities. We find that both the peak force and the amplitude of the stick-slip events decrease along with the system's detachment. By combining a previously designed model for friction amplification and the stick-slip dynamics predicted by a simple frictional spring-block system, we link the observed behavior to the evolving normal compression within the assembly. Through force measurements and imaging, we extract the effective stiffness of the system from stick-slip events at low velocities and relate it to the system's normal compression. We then predict the observed decrease of the global stiffness as a function of the detachment by considering the spatial distribution of normal forces within the assembly, which determines an effective number of sheets contributing to the system's mechanical response. Our findings reveal a non-trivial interplay between internal stress distribution and mechanical response mediated by frictional forces, with implications for granular materials, textiles, fibrous systems, and mechanical metamaterials.
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