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A study of surface swelling caused by graphitisation during pulsed laser ablation of carbon allotrope with high content of sp ³ bounds (2017)
Journal Article
Cadot, G., Billingham, J., & Axinte, D. A. (in press). A study of surface swelling caused by graphitisation during pulsed laser ablation of carbon allotrope with high content of sp ³ bounds. Journal of Physics D: Applied Physics, 50(24), https://doi.org/10.1088/1361-6463/aa70fe

Experiments and theory are employed to investigate the laser ablation of boron doped diamond and tetrahedral amorphous carbon using nanosecond pulses. For a single pulse at low values of fluence, the laser induces a swelling of the surface due to gra... Read More about A study of surface swelling caused by graphitisation during pulsed laser ablation of carbon allotrope with high content of sp ³ bounds.

Continuous trench, pulsed laser ablation for micro-machining applications (2016)
Journal Article
Cadot, G., Axinte, D. A., & Billingham, J. (2016). Continuous trench, pulsed laser ablation for micro-machining applications. International Journal of Machine Tools and Manufacture, 107, https://doi.org/10.1016/j.ijmachtools.2016.04.011

The generation of controlled 3D micro-features by pulsed laser ablation in various materials requires an understanding of the material's temporal and energetic response to the laser beam. The key enabler of pulsed laser ablation for micro-machining i... Read More about Continuous trench, pulsed laser ablation for micro-machining applications.

A spectral boundary integral method for inviscid water waves in a finite domain (2016)
Journal Article
Im, J., & Billingham, J. (2016). A spectral boundary integral method for inviscid water waves in a finite domain. International Journal for Numerical Methods in Fluids, 82(7), 437-448. https://doi.org/10.1002/fld.4225

In this paper, we show how the spectral formulation of Baker, Meiron and Orszag can be used to solve for waves on water of infinite depth confined between two flat, vertical walls, and also how it can be modified to take into account water of finite... Read More about A spectral boundary integral method for inviscid water waves in a finite domain.

Stochastic simplified modelling of abrasive waterjet footprints (2016)
Journal Article
Torrubia, P. L., Billingham, J., & Axinte, D. A. (2016). Stochastic simplified modelling of abrasive waterjet footprints. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 472(2186), https://doi.org/10.1098/rspa.2015.0836

Abrasive micro-waterjet processing is a non-conventional machining method that can be used to manufacture complex shapes in difficult-to-cut materials. Predicting the effect of the jet on the surface for a given set of machi... Read More about Stochastic simplified modelling of abrasive waterjet footprints.

The linear inverse problem in energy beam processing with an application to abrasive waterjet machining (2015)
Journal Article
Axinte, D., Bilbao Guillerna, A., & Billingham, J. (2015). The linear inverse problem in energy beam processing with an application to abrasive waterjet machining. International Journal of Machine Tools and Manufacture, 99, 34-42. https://doi.org/10.1016/j.ijmachtools.2015.09.006

© 2015 The Authors. Published by Elsevier Ltd. The linear inverse problem for energy beam processing, in which a desired etched profile is known and a trajectory of the beam that will create it must be found, is studied in this paper. As an example,... Read More about The linear inverse problem in energy beam processing with an application to abrasive waterjet machining.

Flows of granular material in two-dimensional channels (2015)
Journal Article
Bain, O., Billingham, J., Houston, P., & Lowndes, I. (2015). Flows of granular material in two-dimensional channels. Journal of Engineering Mathematics, https://doi.org/10.1007/s10665-015-9810-1

Secondary cone-type crushing machines are an important part of the aggregate production process. These devices process roughly crushed material into aggregate of greater consistency and homogeneity. We apply a continuum model for granular materials (... Read More about Flows of granular material in two-dimensional channels.