Contact Mechanics of Rough Spheres: Crossover from Fractal to Hertzian Behavior

Contact Mechanics of Rough Spheres: Crossover from Fractal to Hertzian Behavior
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DOI:
10.1155/2013/974178
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发表时间:
2013-01-01
影响因子:
2.6
通讯作者:
Popov, Valentin L.
Popov, Valentin L.
中科院分区:
其他
文献类型:
--
作者:
Pohrt, Rom;Popov, Valentin L.

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本文用三维边界元法研究了粗糙球与弹性半空间接触时的法向接触刚度。对于小的法向力,它被发现,刚度的行为根据法律的Pohrt/Popov名义上平坦的自仿射表面,而对于较高的法向力,有一个过渡到赫兹的行为。一个新的分析模型推导出描述在任何力的接触行为。
We investigate the normal contact stiffness in a contact of a rough sphere with an elastic half-space using 3D boundary element calculations. For small normal forces, it is found that the stiffness behaves according to the law of Pohrt/Popov for nominally flat self-affine surfaces, while for higher normal forces, there is a transition to Hertzian behavior. A new analytical model is derived describing the contact behavior at any force.