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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.

Introducing pre-impact air-cushioning effects into the Wagner model of impact theory (2021)
Journal Article
Moore, M. R. (2021). Introducing pre-impact air-cushioning effects into the Wagner model of impact theory. Journal of engineering mathematics, 129(1), Article 6. https://doi.org/10.1007/s10665-021-10137-z

In this analysis, we consider the effects of non-quiescent initial conditions driven by pre-impact air–water interactions on the classical Wagner model of impact theory. We consider the problem of a rigid, solid impactor moving vertically towards a l... Read More about Introducing pre-impact air-cushioning effects into the Wagner model of impact theory.

Explicit and asymptotic solutions for frictional incomplete half-plane contacts subject to general oscillatory loading in the steady-state (2020)
Journal Article
Andresen, H., Fleury, R., Moore, M., & Hills, D. (2021). Explicit and asymptotic solutions for frictional incomplete half-plane contacts subject to general oscillatory loading in the steady-state. Journal of the Mechanics and Physics of Solids, 146, Article 104214. https://doi.org/10.1016/j.jmps.2020.104214

This contribution presents an asymptotic formulation for the stick-slip behaviour of incomplete contacts under oscillatory variation of normal load, moment, shear load and differential bulk tension. The asymptotic description allows us not only to ap... Read More about Explicit and asymptotic solutions for frictional incomplete half-plane contacts subject to general oscillatory loading in the steady-state.

Extending the Mossakovskii method to contacts supporting a moment (2020)
Journal Article
Moore, M. R., & Hills, D. A. (2020). Extending the Mossakovskii method to contacts supporting a moment. Journal of the Mechanics and Physics of Solids, 141, Article 103989. https://doi.org/10.1016/j.jmps.2020.103989

In this article, we extend the Mossakovskii approach to half-plane contacts supporting a moment. Since the method relies on approximating the punch geometry by a series of flat punches, we choose the load path in (P, M)-space that fixes the body tilt... Read More about Extending the Mossakovskii method to contacts supporting a moment.