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A novel asymptotic formulation for partial slip half-plane frictional contact problems (2022)
Journal Article
Moore, M., & Hills, D. (2022). A novel asymptotic formulation for partial slip half-plane frictional contact problems. Theoretical and Applied Fracture Mechanics, 121, Article 103457. https://doi.org/10.1016/j.tafmec.2022.103457

A method of solution and the necessary calibrations are given to permit the steady-state extent of slip to be found in contacts properly described within a half-plane formulation using only two parameters: the contact law and the first-order descript... Read More about A novel asymptotic formulation for partial slip half-plane frictional contact problems.

The nascent coffee ring with arbitrary droplet contact set: an asymptotic analysis (2022)
Journal Article
Moore, M., Vella, D., & Oliver, J. (2022). The nascent coffee ring with arbitrary droplet contact set: an asymptotic analysis. Journal of Fluid Mechanics, 940, Article A38. https://doi.org/10.1017/jfm.2022.251

We consider the effect of droplet geometry on the early-stages of coffee ring formation during the evaporation of a thin droplet with an arbitrary simple, smooth, pinned contact line. We perform a systematic matched asymptotic analysis of the small-c... Read More about The nascent coffee ring with arbitrary droplet contact set: an asymptotic analysis.

Analysing the accuracy of asymptotic approximations in incomplete contact problems (2022)
Journal Article
Moore, M., & Hills, D. (2022). Analysing the accuracy of asymptotic approximations in incomplete contact problems. International Journal of Solids and Structures, 253, Article 111557. https://doi.org/10.1016/j.ijsolstr.2022.111557

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.... Read More about Analysing the accuracy of asymptotic approximations in incomplete contact problems.