arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2007.01125cond-mat.softcond-mat.mes-hallcond-mat.mtrl-sci
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滑动过程中的接触力学

Cylinder-flat contact mechanics during sliding

J. Wang, A. Tiwari, I. M. Sivebaek, B. N. J. Persson

摘要:

本文用分子动力学方法研究了具有${\rm cos} (q_0 x)$表面高度轮廓的弹性块(柱)在刚性平面基底上以粘附接触方式滑动时的接触力学随滑动速度的变化关系,块上的原子与基底原子通过Lennard-Jones(LJ)势相互作用,我们考虑了公度接触和(近)非公度接触。对于无公度系统,摩擦力在正值和负值之间波动,振幅与滑动速度成比例,但平均值接近于零。对于公度系统,(时间平均)摩擦力要大得多,几乎与速度无关。对于这两种类型的系统的接触区域的宽度是速度无关的,即使当在相称的情况下,摩擦剪应力从零(滑动前)增加到$\approx 0.1 \ {\rm MPa}$在滑动过程中。这种摩擦剪切应力和所用的弹性模量对于在玻璃表面上滑动的聚二甲基硅氧烷(PDMS)橡胶是典型的,并且我们得出结论,当增加切向力时,在一些实验中观察到的接触面积的减少一定是由于我们的模型研究中不包括的效应,例如粘弹性或弹性非线性

英文摘要:

Using molecular dynamics (MD) we study the dependency of the contact mechanics on the sliding speed when an elastic block (cylinder) with a ${\rm cos} (q_0 x)$ surface height profile is sliding in adhesive contact on a rigid flat substrate.The atoms on the block interact with the substrate atoms by Lennard-Jones (LJ) potentials, and we consider both commensurate and(nearly) incommensurate contacts. For the incommensurate system the friction force fluctuates between positive and negative values, with an amplitude proportional to the sliding speed, but with the average close to zero. For the commensurate system the (time-averaged) friction force is much larger and nearly velocity independent. For both type of systems the width of the contact region is velocity independent even when, for the commensurate case, the frictional shear stress increases from zero (before sliding) to $\approx 0.1 \ {\rm MPa}$ during sliding. This frictional shear stress, and the elastic modulus used, are typical for Polydimethylsiloxan (PDMS) rubber sliding on a glass surface, and we conclude that the reduction in the contact area observed in some experiments when increasing the tangential force must be due to effects not included in our model study, such as viscoelasticity or elastic nonlinearity

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