Friction beyond the Amontons-Coulomb Law: A hidden pitfall in granular solids mechanics

IF 6.1 1区工程技术 Q1 ENGINEERING, MECHANICAL

Tribology International Pub Date : 2025-04-01 DOI:10.1016/j.triboint.2025.110684

Kaisen Zhang, Kun Liu, Tianyan Gao, Wei Wang, Xiaojun Liu, Jiaxin Ye

引用次数: 0

Abstract

The Mohr-Coulomb criteria, crucial in granular mechanics, outlines a boundary between granular contact's elastic and plastic behaviors. Our study reveals, through ball-on-V-groove experiments, that interfacial static friction defies the traditional Amontons-Coulomb law within the elastic regime. Results suggest the static friction coefficient between the ball and the groove is a complex function of the loading stiffness, contact stiffness and the groove’s opening angle. A newly proposed slip factor determines the magnitude and direction of the ball’s tangential supporting force exerted by the groove wall. These results have the potential to open up new gates for modeling and understanding various characteristics of granular matter like flowability, jamming, dilatancy and sandpile stability, even in the pure elastic setting.

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超越阿蒙顿-库仑定律的摩擦：颗粒固体力学中的一个隐藏陷阱

在颗粒力学中至关重要的Mohr-Coulomb准则概述了颗粒接触的弹性和塑性行为之间的边界。我们的研究表明，通过v型沟槽上的球实验，界面静摩擦在弹性状态下违背了传统的阿蒙顿-库仑定律。结果表明，球与沟槽的静摩擦系数是加载刚度、接触刚度和沟槽开口角的复合函数。一个新提出的滑移因子决定了球的切向支撑力的大小和方向施加的沟壁。这些结果有可能为模拟和理解颗粒物质的各种特性，如流动性、堵塞性、剪胀性和砂堆稳定性，甚至在纯弹性环境下，打开新的大门。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Tribology International 工程技术-工程：机械

CiteScore

10.10

自引率

16.10%

发文量

627

审稿时长

35 days

期刊介绍： Tribology is the science of rubbing surfaces and contributes to every facet of our everyday life, from live cell friction to engine lubrication and seismology. As such tribology is truly multidisciplinary and this extraordinary breadth of scientific interest is reflected in the scope of Tribology International. Tribology International seeks to publish original research papers of the highest scientific quality to provide an archival resource for scientists from all backgrounds. Written contributions are invited reporting experimental and modelling studies both in established areas of tribology and emerging fields. Scientific topics include the physics or chemistry of tribo-surfaces, bio-tribology, surface engineering and materials, contact mechanics, nano-tribology, lubricants and hydrodynamic lubrication.