The application of asymptotic solutions to characterising the process zone in almost complete frictional contacts
The application of asymptotic solutions to characterising the process zone in almost complete frictional contacts
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应用渐近解来表征几乎完全摩擦接触的过程区域
DOI：
10.1016/j.ijsolstr.2003.09.038
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发表时间：
2004
影响因子：
3.6
通讯作者：
A. Sackfield
中科院分区：
文献类型：
--
作者：
A. Mugadu;D. Hills;J. Barber;A. Sackfield
最近开发的方法嵌入的解决方案为半无限的平面和圆形的冲头（“内”渐近线）的解决方案为半无限的方端冲头（“外”渐近线），以解决一些概念上完整的接触问题，其中在实践中，有限的半径是存在的情况下，摩擦出现。考虑的第一种情况是，当滑动区与过程区的尺寸相比较大，并且延伸到接触的平坦部分时。第二个问题是当滑动区完全位于接触的弯曲部分内时。在这里，内部渐近解修改，允许部分滑移提供了这类问题的普遍解决方案，并与外部解决方案进行了比较。这些技术表明，任何概念上完全摩擦接触的过程区中普遍存在的条件可以准确地表示求助于内部和外部渐近线，从而消除了需要解决的充分有限接触问题明确;只有相应的完整的，粘附的问题必须解决数值。
The recently developed method of embedding the solution for a semi-infinite flat and rounded punch (‘inner’ asymptote) into the solution for a semi-infinite square-ended punch (‘outer’ asymptote) in order to solve a number of notionally complete contact problems, where in practice, a finite radius is present is extended to cases where friction arises. The first case considered is when the slip zone is large compared with the size of the process zone, and extends into the flat portion of the contact. The second problem is when the slip zone lies wholly within the curved portion of the contact. Here, the inner asymptotic solution is modified to allow for partial slip providing a universal solution for this class of problem, and a comparison with the outer solution is made. These techniques show that the conditions prevalent in the process zone of any notionally complete frictional contact can be accurately represented by recourse to the inner and outer asymptotes, thereby eliminating the need to solve the full finite contact problem explicitly; only the corresponding complete, adhered problem must be solved numerically.