Dr Artur Gower
School of Mechanical, Aerospace and Civil Engineering
Lecturer in Dynamics
a.l.gower@sheffield.ac.uk
+44 114 222 7806
+44 114 222 7806
Sir Frederick Mappin Building
Full contact details
Dr Artur Gower
School of Mechanical, Aerospace and Civil Engineering
Sir Frederick Mappin Building
Mappin Street
Sheffield
S1 3JD
School of Mechanical, Aerospace and Civil Engineering
Sir Frederick Mappin Building
Mappin Street
Sheffield
S1 3JD
- Profile
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Welcome! My background is in applying mathematics (BSc, MSc, PhD) to understand the microstructure of complex solids. I mostly develop code and mathematical models for waves (like sound and radio).
- Research interests
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My main research interests include:
- Wave scattering
- Solid mechanics
- Random media
- Machine learning
We still do not fully understand how waves (like sound, radio, light, and vibrations) behave in many materials. How well can these waves propagate, and how much information can they carry in different materials?
Answering these questions will allow us to design the next generation of materials that can control waves. These new materials can then improve telecommunications by controlling light and elastic waves, and mechanical engineering by controlling vibrations and even earthquakes!
The main way we sense the world around us is by using waves too. Light and sound are reflected from all materials, and when they reach us, our brains can decode them to understand what objects are around us.
In a similar way, waves are used to sense materials during manufacturing. To automate manufacturing, we need to develop sensors that can decode waves like our brains do. Ideally these sensors would be able to detect changes in the material's microstructure, and as a result determine when the material has reached its ideal flexibility, strength, and capacity to transmit information!
- Publications
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Journal articles
- The elastic stored energy of initially strained, or stressed, materials: restrictions and third-order expansions. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 481(2307).
- Effective T-matrix of a cylinder filled with a random two-dimensional particulate. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 480(2292), 20230660.
- Universality of the angled shear wave identity in soft viscous solids. Extreme Mechanics Letters, 68, 102139-102139.
- Direct, model-free acoustic evaluation of stresses and strains in loaded nonlinear soft solids. The Journal of the Acoustical Society of America, 155(3_Supplement), A329-A329.
- A model to validate effective waves in random particulate media: spherical symmetry. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 479(2279).
- Noninvasive measurement of local stress inside soft materials with programmed shear waves. Science Advances, 9(10).
- Representing the stress and strain energy of elastic solids with initial stress and transverse texture anisotropy. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 478(2266).
- A unified framework for linear thermo-visco-elastic wave propagation including the effects of stress-relaxation. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 478(2265).
- Ensemble average waves in random materials of any geometry. The Journal of the Acoustical Society of America, 149(4), A51-A51.
- Effective waves for random three-dimensional particulate materials. New Journal of Physics.
- An ultrasonic method to measure stress without calibration: The angled shear wave method. The Journal of the Acoustical Society of America, 148(6), 3963-3970.
- A proof that multiple waves propagate in ensemble-averaged particulate materials. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 475(2229), 20190344-20190344. View this article in WRRO
- Multiple Waves Propagate in Random Particulate Materials. SIAM Journal on Applied Mathematics, 79(6), 2569-2592. View this article in WRRO
- The constitutive relations of initially stressed incompressible Mooney-Rivlin materials. Mechanics Research Communications, 93, 4-10.
- Characterisation of complex fluid media by an angle-scanning ultrasound diffractometer. The Journal of the Acoustical Society of America, 144(3), 1758-1758.
- Characterising particulate random media from near-surface backscattering: A machine learning approach to predict particle size and concentration. EPL (Europhysics Letters), 122(5). View this article in WRRO
- Reflection from a multi-species material and its transmitted effective wavenumber. Proceedings of the Royal Society A, 474(2212). View this article in WRRO
- A New Restriction for Initially Stressed Elastic Solids. The Quarterly Journal of Mechanics and Applied Mathematics, 70(4), 455-478. View this article in WRRO
- Oblique wrinkles. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 375(2093).
- Comparison of finite element and analytical modeling of scattering of an acoustic wave by particles in a fluid. The Journal of the Acoustical Society of America, 141(5), 3977-3977.
- Characterizing composites with acoustic backscattering: Combining data driven and analytical methods. The Journal of the Acoustical Society of America, 141(5), 3810-3810.
- Morphology of residually stressed tubular tissues: Beyond the elastic multiplicative decomposition. Journal of the Mechanics and Physics of Solids, 90, 242-253.
- On residual stresses and homeostasis: an elastic theory of functional adaptation in living matter. Scientific Reports, 6(1). View this article in WRRO
- Higher-order reverse automatic differentiation with emphasis on the third-order. Mathematical Programming, 155(1-2), 81-103. View this article in WRRO
- Connecting the material parameters of soft fibre-reinforced solids with the formation of surface wrinkles. Journal of Engineering Mathematics, 95(1), 217-229.
- Initial stress symmetry and its applications in elasticity. Proceedings of the Royal Society A, 471(2183). View this article in WRRO
- A robust anisotropic hyperelastic formulation for the modelling of soft tissue. Journal of the Mechanical Behavior of Biomedical Materials, 39, 48-60.
- Counter-intuitive results in acousto-elasticity. Wave Motion, 50(8), 1218-1228.
- Shear instability in skin tissue. The Quarterly Journal of Mechanics and Applied Mathematics, 66(2), 273-288.
- Acoustic waves in a halfspace material filled with random particulate. New Journal of Physics.
- The average transmitted wave in random particulate materials. New Journal of Physics.
- Non-destructive mapping of stress and strain in soft thin films through sound waves. Communications Physics, 5(1).
Conference proceedings papers
- A tomographic method to predict forces in a rolling element bearings. Proceedings of ISMA 2024 - International Conference on Noise and Vibration Engineering and USD 2024 - International Conference on Uncertainty in Structural Dynamics (pp 1518-1529)
Preprints
- Designing Band Gaps with Randomly Distributed Sub-Wavelength Helmholtz
Resonators.
- Elastic waves in bearing raceways: the forward and inverse problem.
- Acoustic waves in a halfspace material filled with random particulate.
- The elastic stored energy of initially strained, or stressed, materials:
restrictions and third-order expansions.
- Calculating Pair Correlations from Random Particle Configurations.
- Universality of the angled shear wave identity in soft viscous solids, arXiv.
- The average transmitted wave in random particulate materials.
- A unified framework for linear thermo-visco-elastic wave propagation
including the effects of stress-relaxation.
- Representing the stress and strain energy of elastic solids with initial
stress and transverse texture anisotropy.
- Non-destructive mapping of stress, strain and stiffness of thin elastically deformed materials, arXiv.
- Effective Waves for Random Three-dimensional Particulate Materials, arXiv.
- A robust anisotropic hyperelastic formulation for the modelling of soft tissue, arXiv.
- Morphology of residually-stressed tubular tissues: Beyond the elastic multiplicative decomposition, arXiv.
- Oblique wrinkles, arXiv.
- Counter-intuitive results in acousto-elasticity, arXiv.
- An ultrasonic measurement of stress in steel without calibration: the angled shear wave identity, arXiv.
- A Proof that Multiple Waves Propagate in Ensemble-Averaged Particulate Materials, arXiv.
- Multiple Waves Propagate in Random Particulate Materials, arXiv.
- Characterising particulate random media from near-surface backscattering: a machine learning approach to predict particle size and concentration, arXiv.
- Reflection from a multi-species material and its transmitted effective wavenumber, arXiv.
- A new restriction for initially stressed elastic solids, arXiv.
- Initial Stress Symmetry and Applications in Elasticity, arXiv.
- Higher-order Reverse Automatic Differentiation with emphasis on the third-order, arXiv.
- Shear instability in skin tissue, arXiv.
- The elastic stored energy of initially strained, or stressed, materials: restrictions and third-order expansions. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 481(2307).