Analysing the accuracy of asymptotic approximations in incomplete contact problems

Matthew R. Moore; David A. Hills

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arXiv · 2203.07095

Analysing the accuracy of asymptotic approximations in incomplete contact problems

Matthew R. Moore·David A. Hills

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Abstract

The error incurred in the representation of the contact pressure at the edges of incomplete contacts by first order asymptotes is treated, and the maximum value of the relative error found for a range of geometries, both symmetric and non-symmetric. Shear tractions are excited by both the application of a shear force and the application of bulk tension in one body. An asymptotic representation of the shear traction distribution under conditions of full stick is presented.

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Matthew R. Moore, David A. Hills. 2022-03-14. Analysing the accuracy of asymptotic approximations in incomplete contact problems. https://arxiv.org/abs/2203.07095

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