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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.

Representation of incomplete contact problems by half-planes (2020)
Journal Article
Andresen, H., Hills, D., & Moore, M. (2021). Representation of incomplete contact problems by half-planes. European Journal of Mechanics - A/Solids, 85, Article 104138. https://doi.org/10.1016/j.euromechsol.2020.104138

for finding the optimal choices of the applied remote loads – the applied normal force, moment, shear force and remote bulk stresses – needed to solve frictional contact problems in partial-slip using half-plane theory are derived by using data from... Read More about Representation of incomplete contact problems by half-planes.

A note on the Stokes phenomenon in flow under an elastic sheet: Stokes Phenomenon in flow under a sheet (2020)
Journal Article
Lustri, C. J., Koens, L., & Pethiyagoda, R. (2020). A note on the Stokes phenomenon in flow under an elastic sheet: Stokes Phenomenon in flow under a sheet. Philosophical transactions. Series A, Mathematical, physical, and engineering sciences, 378(2179), Article 20190530. https://doi.org/10.1098/rsta.2019.0530

The Stokes phenomenon is a class of asymptotic behaviour that was first discovered by Stokes in his study of the Airy function. It has since been shown that the Stokes phenomenon plays a significant role in the behaviour of surface waves on flows pas... Read More about A note on the Stokes phenomenon in flow under an elastic sheet: Stokes Phenomenon in flow under a sheet.

A Variance Gamma model for Rugby Union matches (2020)
Journal Article
Fry, J., Smart, O., Serbera, J., & Klar, B. (2021). A Variance Gamma model for Rugby Union matches. Journal of Quantitative Analysis in Sports, 17(1), 67-75. https://doi.org/10.1515/jqas-2019-0088

Amid much recent interest we discuss a Variance Gamma model for Rugby Union matches (applications to other sports are possible). Our model emerges as a special case of the recently introduced Gamma Difference distribution though there is a rich histo... Read More about A Variance Gamma model for Rugby Union matches.

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.

Quantifying the sustainability of Bitcoin and Blockchain (2020)
Journal Article
Fry, J., & Serbera, J. (2020). Quantifying the sustainability of Bitcoin and Blockchain. Journal of Enterprise Information Management, 33(6), 1379-1394. https://doi.org/10.1108/JEIM-06-2018-0134

Purpose The authors develop new quantitative methods to estimate the level of speculation and long-term sustainability of Bitcoin and Blockchain. Design/methodology/approach The authors explore the practical application of speculative bubble mod... Read More about Quantifying the sustainability of Bitcoin and Blockchain.

Generalised geometric swimming for Stokes flow (2019)
Conference Proceeding
Koens, L., & Lauga, E. (2019). Generalised geometric swimming for Stokes flow. In 72nd Annual Meeting of the APS Division of Fluid Dynamics. Meeting Abstracts

Shapere and Wilczek first demonstrated that the displacement of a microscopic swimmer was related to path integrals over a gauge field. This field is a function of the swimmers configuration and laboratory frame position. For simple 1D swimmers, Stok... Read More about Generalised geometric swimming for Stokes flow.

The steady state partial slip problem for half plane contacts subject to a constant normal load using glide dislocations (2019)
Journal Article
Andresen, H., Hills, D., & Moore, M. (2020). The steady state partial slip problem for half plane contacts subject to a constant normal load using glide dislocations. European Journal of Mechanics - A/Solids, 79, Article 103868. https://doi.org/10.1016/j.euromechsol.2019.103868

A new solution for general half-plane contact problems subject to a constant normal load together with alternating shear loads and tension in the steady state is presented. The method uses a formulation where a displacement correction is made to the... Read More about The steady state partial slip problem for half plane contacts subject to a constant normal load using glide dislocations.