Professor Graham Rogerson
- Title
- Professor
- Location
- Mackay Building: Mac2.31
- Phone
- +44 (0) 1782 733270
- g.a.rogerson@keele.ac.uk
Biography
I gained a BSc in Mathematics from the University of Leicester (1983), and an MSc in Theoretical Mechanics from the University of East Anglia (1984). I stayed at the University of East Anglia to do a PhD under the supervision of Dr Nigel Scott. After completing my PhD (1987), I spent around a year in industry, working for Royal Ordnance in Blackburn. In early 1989 I returned to academia, being appointed Research Fellow within the Department of Theoretical Mechanics at the University of Nottingham. During my two and a half years in Nottingham, I worked under the supervision of Dr Tony Green on a United States Air Force funded project. The project concerned the mathematical elucidation of impact response in fibre-reinforced laminates. In 1991 I was appointed a Lecturer in Mathematics at the University of the West of England. Two years later, I moved to a similar position at the University of Salford, where I became Professor of Applied Mathematics (2002) and Director of the Centre for Theory and Modelling (2005). In September 2006 I moved to Keele as a Professor of Applied Mathematics, becoming Head of the School of Computing and Mathematics in July 2008.
Research and scholarship
My research interests concern the propagation of waves in elastic solids and structures. Over the years this has involved a number of applications, including the impact response of fibre-reinforced laminated aircraft wings and artificial vibration of coal layers. A considerable amount of my research effort has focussed on trying to establish simplified approximate long wave theories to help elucidate the dynamic response of thin structures. This included the establishment of a novel mathematically justified methodology to enable initial value problems to be investigated. Currently, through the 3ME project, potential applications of my research within both Bio-medical Engineering and Earth Science are being investigated. This project was funded through EPSRC's Bridging the Gaps initiative.
Selected Publications
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2019. An ill-posed Cauchy type problem for an elastic strip. MATHEMATICS AND MECHANICS OF SOLIDS, Article UNSP 1081286519826395. link> doi> full text>
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2018. ELASTIC WAVES IN PERIODICALLY HETEROGENEOUS TWO-DIMENSIONAL MEDIA: LOCALLY PERIODIC AND ANTI-PERIODIC MODES. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. doi> full text>
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2018. An asymptotic strategy to couple homogenized elastic structures. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, vol. 131, 26-39. link> doi> full text>
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2018. INTERNAL RESONANCES AND MODES INTERACTIONS IN NON-LINEAR VIBRATIONS OF VISCOELASTIC HETEROGENEOUS SOLIDS. Journal of Sound and Vibration, vol. 433, 55-64. doi> link> full text>
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2018. Optimal control of the radius of a rigid circular inclusion in inhomogeneous two-dimensional bodies with cracks. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, vol. 69(3), Article ARTN 53. link> doi> full text>
Full Publications List show
Journal Articles
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2019. An ill-posed Cauchy type problem for an elastic strip. MATHEMATICS AND MECHANICS OF SOLIDS, Article UNSP 1081286519826395. link> doi> full text>
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2018. ELASTIC WAVES IN PERIODICALLY HETEROGENEOUS TWO-DIMENSIONAL MEDIA: LOCALLY PERIODIC AND ANTI-PERIODIC MODES. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. doi> full text>
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2018. An asymptotic strategy to couple homogenized elastic structures. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, vol. 131, 26-39. link> doi> full text>
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2018. INTERNAL RESONANCES AND MODES INTERACTIONS IN NON-LINEAR VIBRATIONS OF VISCOELASTIC HETEROGENEOUS SOLIDS. Journal of Sound and Vibration, vol. 433, 55-64. doi> link> full text>
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2018. Optimal control of the radius of a rigid circular inclusion in inhomogeneous two-dimensional bodies with cracks. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, vol. 69(3), Article ARTN 53. link> doi> full text>
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2017. A non-local asymptotic theory for thin elastic plates. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 473(2203), Article ARTN 20170249. link> doi> full text>
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2018. Modelling Slight Compressibility for Hyperelastic Anisotropic Materials. JOURNAL OF ELASTICITY, vol. 131(2), 171-181. link> doi> full text>
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2017. Propagation of Floquet-Bloch shear waves in viscoelastic composites: analysis and comparison of interface/interphase models for imperfect bonding. ACTA MECHANICA, vol. 228(3), 1177-1196. link> doi> full text>
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2016. Propagation of Floquet–Bloch shear waves in viscoelastic composites: analysis and comparison of interface/interphase models for imperfect bonding. Acta Mechanica, vol. 228(3), 1177-1196. doi> link> full text>
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2016. On the problem of a thin rigid inclusion embedded in a Maxwell material. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, vol. 67(4), Article ARTN 105. link> doi> full text>
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2016. Edge bending wave on a thin elastic plate resting on a Winkler foundation. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 472(2190), Article ARTN 20160178. link> doi> full text>
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2016. Refined boundary conditions on the free surface of an elastic half-space taking into account non-local effects. Proc Math Phys Eng Sci, vol. 472(2186), 20150800. link> doi> full text>
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2015. Anti-plane shear waves in a fibre-reinforced composite with a non-linear imperfect interface. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, vol. 76, 223-232. link> doi> full text>
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2015. Small amplitude waves in a pre-stressed compressible elastic layer with one fixed and one free face. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, vol. 66(5), 2741-2757. link> doi> full text>
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2014. The edge wave on an elastically supported Kirchhoff plate. J Acoust Soc Am, vol. 136(4), 1487-1490. link> doi> full text>
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2012. Initiation of aneurysms as a mechanical bifurcation phenomenon. International Journal of Non-lineear Mechanics, vol. 47, 179-184. doi> full text>
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2006. An asymptotic analysis of initial-value problems for thin elastic plates. Proceedings of the Royal Society, Series A, vol. 462(2073), 2541-2561. doi>
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2005. Localized vibration in elastic structures with slowly varying thickness. Quarterly Journal of Mechanics and Applied Mathematics, vol. 58(4), 645-664. doi>
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2004. Dispersion of Small Amplitude Waves in a Pre-Stressed, Compressible Elastic Plate. Journal of Elasticity, vol. 75(1), 1-29. doi>
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2002. An asymptotic membrane-like theory for long wave motion in a pre-stressed elastic plate. Proceedings of the Royal Society, Series A, vol. 458(2022), 1447-1468. doi>
Chapters
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2015. Nonlinear elastic waves in a fibre-reinforced composite with an imperfect interface. In Dynamical Systems. Control and Stability. ARSA Druk i Reklama. full text>
Other
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2004. Boundary layers near the reflected and transmitted dilatational wave fronts in a composite cylindrical shell. THEORIES OF PLATES AND SHELLS: CRITICAL REVIEW AND NEW APPLICATIONS (vol. 16, pp. 193-200). link>
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2002. Long wave motion in a Mooney-Rivlin layer with fixed faces. PROCEEDINGS OF THE 4TH INTERNATIONAL CONFERENCE ON NONLINEAR MECHANICS (pp. 488-492). link>
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1998. The effect of finite primary deformations on the dynamic response of incompressible layered media. 3RD INTERNATIONAL CONFERENCE ON NONLINEAR MECHANICS (pp. 360-364). link>