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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.

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.