Partial-slip frictional response of rough surfaces.

Partial-slip frictional response of rough surfaces.
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DOI:
10.1038/srep05178
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发表时间:
2014-06-05
期刊:
影响因子:
4.6
通讯作者:
Popov VL
Popov VL
中科院分区:
综合性期刊3区
文献类型:
--
作者:
Paggi M;Pohrt R;Popov VL

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如果两个具有粗糙表面的弹性体首先彼此压靠,然后切向加载,则在接触区域的边界处将发生滑动,而内部部件仍然可能粘附。随着切向力的增加,滑动部分将膨胀,而粘附部分将收缩并最终消失。在本文中,我们研究的分数的接触面积,切向力和切向刚度,与粘附部分的接触面积,作为一个函数的总施加的切向力的发病充分滑动。对于随机粗糙的数值分析,使用分形表面,Hurst指数H范围从0.1到0.9。在Greenwood和威廉姆森(GW)模型的框架内,边界元法的数值模拟与解析分析进行了比较。在这两种情况下,一个普遍的线性依赖性之间的真实的接触面积分数在坚持条件和所施加的切向力被发现,无论赫斯特指数的粗糙表面。关于微分切向刚度对切向力的依赖性,在GW情况下发现线性关系。对于随机粗糙表面,导出了一个依赖于H的非线性关系。
If two elastic bodies with rough surfaces are first pressed against each other and then loaded tangentially, sliding will occur at the boundary of the contact area while the inner parts may still stick. With increasing tangential force, the sliding parts will expand while the sticking parts shrink and finally vanish. In this paper, we study the fractions of the contact area, tangential force and tangential stiffness, associated with the sticking portion of the contact area, as a function of the total applied tangential force up to the onset of full sliding. For the numerical analysis randomly rough, fractal surfaces are used, with the Hurst exponent H ranging from 0.1 to 0.9. Numerical simulations by boundary element method are compared with an analytical analysis in the framework of the Greenwood and Williamson (GW) model. In both cases, a universal linear dependency between the real contact area fraction in stick condition and the applied tangential force is found, regardless of the Hurst exponent of the rough surfaces. Regarding the dependence of the differential tangential stiffness on the tangential force, a linear relation is found in the GW case. For randomly rough surfaces, a nonlinear relation depending on H is derived.
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