Projects

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All Waves Solid Mechanics Inverse Methods Industry Optimisation

Wave Software

Software for wave propagation and scattering.

Surface waves and instabilities

Surface waves and wrinkles can be used to characterise the underlying soft solid.

Entropy GO

Use AI concepts, such as entropy maximisation, to play games.

Waves in Complex Materials

The aim is to understand how waves (like sound, radio, light, and vibrations) behave in materials with random microstructure.

Industrial Mathematics

Combining maths, data and code to solve commercial and industrial problems.

The mechanics of soft solids

How do we mathematically describe the stresses and deformation of anisotropic soft solids.

Featured Publications

arXiv

Materials comprising randomly distributed particles, or inclusions, occur frequently in the world around us. Common examples include composites, emulsions, suspensions, complex gases, etc… This paper is the first to clearly prove that, contrary to the belief of most in the community, multiple effective waves propagate in particulate materials (in an ensemble-average sense).
Preprint Code Project
arXiv

We show that in general there is not only one effective wave, but there is a series of effective waves in an ensemble averaged particulate material. By particulate material we mean a medium filled with randomly placed particles and consider waves governed by the scalar wave equation. Although most of these waves decay rapidly, they make a significant contribution to reflection and transmission beyond the low-frequency regime. In two spatial dimensions, we develop an efficient method to calculate all these waves, which gives highly accurate predictions when compared to a finite-difference scheme. This method is, to the authors knowledge, the first of its kind to give accurate predictions across a broad frequency range and particle volume fraction.
Preprint Code Project Project
EPL (Europhysics Letters)

To what extent can particulate random media be characterised using direct wave backscattering from a single receiver/source? Here, in a two-dimensional setting, we show using a machine learning approach that both the particle radius and concentration can be accurately measured when the boundary condition on the particles is of Dirichlet type. Although the methods we introduce could be applied to any particle type. In general backscattering is challenging to interpret for a wide range of particle concentrations, because multiple scattering cannot be ignored, except in the very dilute range. Across the concentration range from 1% to 20% we find that the mean backscattered wave field is sufficient to accurately determine the concentration of particles. However, to accurately determine the particle radius, the second moment, or average intensity, of the backscattering is necessary. We are also able to determine what is the ideal frequency range to measure a broad range of particles sizes. To get rigorous results with supervised machine learning requires a large, highly precise, dataset of backscattered waves from an infinite half-space filled with particles. We are able to create this dataset by introducing a numerical approach which accurately approximates the backscattering from an infinite half-space.
Preprint Project Project Paper Journal

Recent Publications

Quickly discover relevant content by filtering publications.

Materials comprising randomly distributed particles, or inclusions, occur frequently in the world around us. Common examples include …
Preprint Code Project

We show that in general there is not only one effective wave, but there is a series of effective waves in an ensemble averaged …
Preprint Code Project Project

MultipleScattering.jl: a Julia library for simulating, processing, and plotting multiple scattering of acoustic waves.
Project Project Software

To what extent can particulate random media be characterised using direct wave backscattering from a single receiver/source? Here, in a …
Preprint Project Project Paper Journal

We formally deduce closed-form expressions for the transmitted effective wavenumber of a material comprising multiple types of …
Preprint Project Paper Journal
See all publications

Recent Posts

Am always happy to discuss research and exchange ideas. Find my contact details here. See below for funded PhD opportunities. PhD …
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Below is the outline of a wing with a bolt and two plates (green) that were not fitted together correctly (may require zooming in). The …
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Estimated track in red compared with the camera image in blue. As the train shakes, so does the camera. -- To increase the number of …
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How to design a collection of cables to be both robust and flexible? A subsea control umbilical is a collection of electrical, fibre …
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Recent & Upcoming Talks

May 17, 2019 7:12 PM
The dynamics of multiple scattering - 2019 The many waves BAMC multiple effective waves Sensing the World with Sound

Popular Topics

acousto-elasticity anisotropy automatic-differentiation composite-materials constitutive-equations effective-waves elasticity ensemble-averaging fibre-reinforced finite-elements hessian-matrix high-order-methods homogenisation industry initial-stress instabilities inverse-methods mooney-rivlin-material multi-species multiple-scattering non-linear-elasticity non-principal-waves opening-angle-method optimisation particulate-materials polydisperse post-buckling random-media residual-stress sensitivity-analysis size-distribution soft-matter soft-tube solid-mechanics stability-analysis surface-waves tensors-vector-products wave-propagation wave-transmission waves wiener-hopf wrinkles

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