Avatar

Art L Gower

Associate Professor in Engineering Mathematics

University of Sheffield

Summary

Welcome! I am an Senior Lecturer (Associate Professor) in Engineering Mathematics at the University of Sheffield and part of the Dynamics group.

My team and I are experts in acoustics, elastic waves, and solid mechanics. We mostly develop numerical and mathematical methods, and have a focus on new sensing and measurement methods with industrial applications. For an overview see my projects, publications or CV.

Projects

Software & Packages

Software for stress fields, wave propagation, and scattering.

Inverse Problems

Making predictions from only a few measurements.

Waves in Complex Materials

Waves (sound, radio, light, and vibrations) in materials with random microstructure.

Elastic & acoustic waves

Modelling and using linear elastic and acoustic waves.

Industrial Mathematics

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

Nonlinear Elasticity

Constitutive theory, initial stress, coupling with waves, and instabilities.

Recent Publications

Search through all my papers and software here.

Elastic waves in bearing raceways: the forward and inverse problem

We model elastic waves in bearing raceways to detect defects and friction. By treating raceways as hollow cylinders, we derive 4×4 …
Preprint Code Project Project Paper Journal

The elastic stored energy of initially strained, or stressed, materials: restrictions and third-order expansions

A large variety of engineering and biological materials have a non-zero internal stress distribution, even in the absence of applied …
Preprint PDF Project Project Paper

Acoustic waves in a halfspace material filled with random particulate

We resolve the challenge of relating effective wave properties to measurable reflection and transmission coefficients in acoustic …
PDF Code Project Paper

Effective T-matrix of a cylinder filled with a random two-dimensional particulate

When waves scatter through dense particle arrangements, they bounce multiple times between particles—a process called multiple …
PDF Project Paper

The average transmitted wave in random particulate materials

Mechanical stress in tissue is important but hard to measure. The angled shear wave identity (ASWI) estimates stress from shear-wave …
PDF Code Project Paper

Universality of the angled shear wave identity in soft viscous solids

Mechanical stress in tissue is important but hard to measure. The angled shear wave identity (ASWI) estimates stress from shear-wave …
PDF Project Project Paper
See all publications

Recorded Talks

Waves in disordered particles

How to ensemble average waves in particulate materials, including boundaries, propagation, and Quasi-Crystalline-Approximation.

Measure stress using shear waves

How to measure stress with shear waves.

Need robots in sewers

Talk to public about robots in sewers and pipebots.

QCA with boundaries

A summary of this paper on the Quasi-Crystalline-Approximation with boundaries.

Slides

Outreach talks

Jul 11, 2025 00:00
The Beam Challenge - 2022 Modeling camera on a train We need robots in our sewers Study Mechanical Engineering in Sheffield Build a Hovercraft Inclusive Marble Race 2023

Introductory talks

Jul 11, 2024 00:00
MFS for inverse problems Intro to Regression - 2024 Overview - Sensing for Biomechanics NATS - Optimal Flight Paths 2min overview talk 2024 Why care about inverse problems

Research talks

Jul 11, 2024 00:00
Effective waves wrong boundary conditions Long effective waves in particulates Bearing Ultrasonics ISMA JM - acoustic sensing of particulate materials Ultrasonic Sensing of Bearings Ultrasonic Sensing of Bearings - Costela Acoustic Sensing of Particulate Materials Through Layers Ultrasonic stress Projection Monte-Carlo Layers ICIAM Overview waves in disorder Changing elastic reference INI Mapping in-plane stress with Lamb waves - 2022

Popular Topics

Acousto-Elasticity Anisotropy Complex Materials Effective Waves Elastic-Waves Ensemble Averaging Homogenisation Industry Initial Stress Instabilities Inverse Problems Monte Carlo Multiple Scattering Nonlinear-Elasticity Optimisation Particulates Random Media Solid-Mechanics Ultrasonic Waves Waves

Contact

  • RD08, Mappin Mining Block, Sheffield, Yorkshire, S1 4DT, United Kingdom
  • Entre through the Mining block, walk up two stairs to level 2 then find office RD08.