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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), 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, 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, 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.

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, 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.

Methods to solve half-plane partial slip contact problems (2018)
Journal Article
Hills, D., Ramesh, R., Barber, J., & Moore, M. (2018). Methods to solve half-plane partial slip contact problems. International Journal of Solids and Structures, 155, 155-159. https://doi.org/10.1016/j.ijsolstr.2018.07.019

There exists a family of methods for finding the extent of partial slip in contact problems between elastically similar bodies, capable of idealisation by half-planes. Closed form solutions are given to problems subject to a constant normal load and... Read More about Methods to solve half-plane partial slip contact problems.

Half-plane partial slip contact problems with a constant normal load subject to a shear force and differential bulk tension (2018)
Journal Article
Moore, M., Ramesh, R., Hills, D., & Barber, J. (2018). Half-plane partial slip contact problems with a constant normal load subject to a shear force and differential bulk tension. Journal of the Mechanics and Physics of Solids, 118, 245-253. https://doi.org/10.1016/j.jmps.2018.05.017

This article provides a new form of solution to half-plane contact problems in partial slip where a normal load has been applied, held constant and is subsequently loaded with both a shear force and differential bulk tension. It uses a formulation wh... Read More about Half-plane partial slip contact problems with a constant normal load subject to a shear force and differential bulk tension.

Solution of half-plane contact problems by distributing climb dislocations (2018)
Journal Article
Moore, M., & Hills, D. (2018). Solution of half-plane contact problems by distributing climb dislocations. International Journal of Solids and Structures, 147, 61-66. https://doi.org/10.1016/j.ijsolstr.2018.04.017

We derive a novel method for addressing half-plane contact problems by using distributions of climb dislocations over the contact patch to balance the relative overlapping profile of the contacting bodies. Using this technique, we are able to forgo i... Read More about Solution of half-plane contact problems by distributing climb dislocations.