A new principle in contact mechanics

A new principle in contact mechanics
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DOI:
10.1115/1.2833765
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发表时间:
1998-10-01
影响因子:
2.5
通讯作者:
Jager, J
Jager, J
中科院分区:
工程技术3区
文献类型:
--
作者:
Jager, J

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本文分析了两个不转动的弹性半平面在无表面法向应力和切向应力耦合的情况下的准静态接触。证明了在恒定法向力和增大切向力作用下的切向摩擦系数等于实际法向压力与较小接触面积下的压力之差乘以摩擦系数。每个粘附区域对应于小于当前接触区域的接触区域(或多个接触区域的配置)。与接触面积随着压力增加而扩大相同,粘附面积随着切向牵引力增加而缩小。一般的加载情况下,解决了叠加的斜增量下恒定的角度。作为一个例子,这个原理被应用到形式为A(k)x(k)的刚性表面,接触0小于或等于x小于或等于a,并且在x = 0处有一个角,压入弹性半平面。
Two nonrotating elastic half-planes in quasi-static contact without coupling of the normal and tangential surface stresses are analyzed in this paper. It is proved that the tangential fraction under constant normal forces and increasing tangential forces is equal to the difference between the actual normal pressure and the pressure for a smaller contact area, multiplied by the coefficient of friction. Every stick area corresponds to a contact area (or a configuration of multiple contact areas) that is smaller than the present contact area. In the same way as the contact area develops with increasing pressure, the stick area recedes with increasing tangential traction. General loading scenarios are solved by superposition of oblique increments under constant angles. As an example, this principle is applied to a rigid surface of the form A(k)x(k), in contact an 0 less than or equal to x less than or equal to a and with a corner at x = 0, indenting an elastic halfplane.