Bounds on the electrical resistance between contacting elastic rough bodies
Bounds on the electrical resistance between contacting elastic rough bodies
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DOI：
10.1098/rspa.2002.1038
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发表时间：
2003-01-08
影响因子：
3.5
通讯作者：
Barber, JR
中科院分区：
文献类型：
--
作者：
Barber, JR
提出了一种粗糙表面弹性体接触电导边界的确定方法。首先建立了机械接触问题中接触电导和增量刚度之间的类比。从接触力学和功的互等定理的结果，然后用括号的机械载荷-位移曲线之间的两个相关的光滑接触问题。这使得可以对增量刚度以及粗糙接触问题的电导率进行限制。该方法是由两个简单的例子说明，但其最大的潜力可能在于建立被忽略的微尺度粗糙度的最大影响，在解决接触问题的机构与多尺度或分形粗糙度。
A method is developed for placing bounds on the electrical contact conductance between contacting elastic bodies with rough surfaces. An analogy is first established between contact conductance and the incremental stiffness in the mechanical contact problem. Results from contact mechanics and the reciprocal theorem are then used to bracket the mechanical load-displacement curve between those for two related smooth contact problems. This enable bounds to be placed on the incremental stiffness and hence on the electrical conductance for the rough contact problem. The method is illustrated by two simple examples, but its greatest potential probably lies in establishing the maximum effect of neglected microscales of roughness in a solution of the contact problem for bodies with multiscale or fractal roughness.