Graham Rogerson

Title: Head of School
Phone: 01782 733270
Email:
Location: CR26
Role:
Contacting me:

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.

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

  • Fu YB, Rogerson GA, Wang WF. 2013. Surface waves guided by topography in an anisotropic elastic half-space. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 469(2149), Article ARTN 20120371. link> doi>
  • Mukhomodyarov RR and Rogerson GA. 2012. Long-wave dispersion phenomena in a layer subject to elastically restrained boundary conditions. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, vol. 63(1), 171-188. link> doi>
  • Pichugin AV and Rogerson GA. 2012. Extensional edge waves in pre-stressed incompressible plates. MATHEMATICS AND MECHANICS OF SOLIDS, vol. 17(1), 27-42. link> doi>
  • Fu Y, Rogerson GA, Zhang YT. 2012. Initiation of aneurysms as a mechanical bifurcation phenomenon. International Journal of Non-lineear Mechanics, vol. 47, 179-184. doi> full text>
  • Lutianov M and Rogerson GA. 2010. Long wave motion in layered elastic media. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, vol. 48(12), 1856-1871. link> doi>

Full Publications List show

Journal Articles

  • Fu YB, Rogerson GA, Wang WF. 2013. Surface waves guided by topography in an anisotropic elastic half-space. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 469(2149), Article ARTN 20120371. link> doi>
  • Mukhomodyarov RR and Rogerson GA. 2012. Long-wave dispersion phenomena in a layer subject to elastically restrained boundary conditions. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, vol. 63(1), 171-188. link> doi>
  • Pichugin AV and Rogerson GA. 2012. Extensional edge waves in pre-stressed incompressible plates. MATHEMATICS AND MECHANICS OF SOLIDS, vol. 17(1), 27-42. link> doi>
  • Fu Y, Rogerson GA, Zhang YT. 2012. Initiation of aneurysms as a mechanical bifurcation phenomenon. International Journal of Non-lineear Mechanics, vol. 47, 179-184. doi> full text>
  • Lutianov M and Rogerson GA. 2010. Long wave motion in layered elastic media. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, vol. 48(12), 1856-1871. link> doi>
  • Moukhomodiarov RR, Pichugin AV, Rogerson GA. 2010. The Transition between Neumann and Dirichlet Boundary Conditions in Isotropic Elastic Plates. MATHEMATICS AND MECHANICS OF SOLIDS, vol. 15(4), 462-490. link> doi>
  • Lutianov M and Rogerson GA. 2010. The influence of boundary conditions on dispersion in an elastic plate. MECHANICS RESEARCH COMMUNICATIONS, vol. 37(2), 219-224. link> doi>
  • Amirova SR and Rogerson GA. 2009. A long wave low frequency motion model for a finitely sheared elastic layer. MECHANICS OF SOLIDS, vol. 44(6), 865-873. link> doi>
  • Kiselev AP and Rogerson GA. 2009. Laterally dependent surface waves in an elastic medium with a general depth dependence. WAVE MOTION, vol. 46(8), 539-547. link> doi>
  • Rogerson GA and Prikazchikova LA. 2009. Generalisations of long wave theories for pre-stressed compressible elastic plates. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, vol. 44(5), 520-529. link> doi>
  • Amirova SR and Rogerson GA. 2008. THE INFLUENCE OF AN INITIAL SIMPLE SHEAR DEFORMATION ON LONG-WAVE MOTION IN AN ELASTIC LAYER. JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES, vol. 3(5), 831-851. link> doi>
  • Every AG, Kaplunov JD, Pichugin AV, Rogerson GA. 2007. Wave arrival singularities at cuspidal points in the acoustic wave surfaces of anisotropic solids and their unfolding under weak spatial dispersion. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 463(2087), 2983-3000. link> doi>
  • Rogerson GA and Krynkin AV. 2007. Resonance phenomena at the interface of two perfectly bonded, prestressed elastic strips. JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES, vol. 2(5), 983-996. link> doi>
  • Prikazchikov DA, Rogerson GA, Sandiford KJ. 2007. On localised vibrations in incompressible pre-stressed transversely isotropic elastic solids. JOURNAL OF SOUND AND VIBRATION, vol. 301(3-5), 701-717. link> doi>
  • Rogerson GA, Sandiford KJ, Prikazchikova LA. 2007. Abnormal long wave dispersion phenomena in a slightly compressible elastic plate with non-classical boundary conditions. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, vol. 42(2), 298-309. link> doi>
  • Every AG, Kaplunov JD, Rogerson GA. 2006. Unfolding of wave-arrival singularities in the elastodynamic Green's functions of anisotropic solids under weak spatial dispersion. PHYSICAL REVIEW B, vol. 74(18), Article ARTN 184307. link> doi>
  • ROGERSON GA, Kaplunov JD, Nolde EV. 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>
  • Prikazchikova LA, Alejnikov IA, Rogerson GA. 2006. Pade approximations for low-frequency motion in a pre-stressed compressible elastic layer. MECHANICS RESEARCH COMMUNICATIONS, vol. 33(5), 699-704. link> doi>
  • Kossovich LY, Moukhomodiarov RR, Rogerson GA. 2006. Symmetric low-frequency motion in incompressible transversely isotropic elastic plates. MECHANICS RESEARCH COMMUNICATIONS, vol. 33(4), 460-469. link> doi>
  • Kaplunov JD, Pichugin AV, Rogerson GA. 2006. On a Lamb-type problem for a bi-axially pre-stressed incompressible elastic plate. IMA JOURNAL OF APPLIED MATHEMATICS, vol. 71(2), 171-185. link> doi>
  • Sandiford KJ, Rogerson GA, Murphy JG. 2006. Two-dimensional motion in a Bell-constrained plate. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, vol. 44(5-6), 379-394. link> doi>
  • ROGERSON GA, Kaplunov JD, Tovstik P. 2005. Localized vibration in elastic structures with slowly varying thickness. Quarterly Journal of Mechanics and Applied Mathematics, vol. 58(4), 645-664. doi>
  • Kaplunov J, Prikazchikov DA, Rogerson GA. 2005. On three-dimensional edge waves in semi-infinite isotropic plates subject to mixed face boundary conditions. JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, vol. 118(5), 2975-2983. link> doi>
  • Destrade M, Ottenio M, Pichugin AV, Rogerson GA. 2005. Non-principal surface waves in deformed incompressible materials. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, vol. 43(13-14), 1092-1106. link> doi>
  • Kossovitch LY, Moukhomodiarov RR, Rogerson GA. 2005. Lower-dimensional long wave dynamic models for idealised fibre-reinforced elastic structures. ARCHIVE OF APPLIED MECHANICS, vol. 74(5-6), 359-374. link> doi>
  • Perel MV, Kaplunov JD, Rogerson GA. 2005. An asymptotic theory for internal reflection in weakly inhomogeneous elastic waveguides. WAVE MOTION, vol. 41(2), 95-108. link> doi>
  • Kaplunov JD, Prikazchikov DA, Rogerson GA. 2004. Edge vibration of a pre-stressed semi-infinite strip with tractionfree edge and mixed face boundary conditions. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, vol. 55(4), 701-719. link> doi>
  • Prikazchikov DA and Rogerson GA. 2004. On surface wave propagation in incompressible, transversely isotropic, pre-stressed elastic half-spaces. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, vol. 42(10), 967-986. link> doi>
  • ROGERSON GA, Nolde EV, Prikazchikova L. 2004. Dispersion of Small Amplitude Waves in a Pre-Stressed, Compressible Elastic Plate. Journal of Elasticity, vol. 75(1), 1-29. doi>
  • Guo FL and Rogerson GA. 2004. Dispersion phenomena in transversely isotropic piezo-electric plates with either short or open circuit boundary conditions. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, vol. 41(5-6), 1539-1564. link> doi>
  • Guo FL and Rogerson GA. 2003. Thermoelastic coupling effect on a micro-machined beam resonator. MECHANICS RESEARCH COMMUNICATIONS, vol. 30(6), 513-518. link> doi>
  • Prikazchikov DA and Rogerson GA. 2003. Some comments on the dynamic properties of anisotropic and strongly anisotropic pre-stressed elastic solids. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, vol. 41(2), 149-171. link> doi>
  • Kaplunov JD, Nolde EV, Rogerson GA. 2002. An asymptotically consistent model for long-wave high-frequency motion in a pre-stressed elastic plate. MATHEMATICS AND MECHANICS OF SOLIDS, vol. 7(6), 581-606. link> doi>
  • Nolde EV and Rogerson GA. 2002. Long wave asymptotic integration of the governing equations for a pre-stressed incompressible elastic layer with fixed faces. WAVE MOTION, vol. 36(3), 287-304. link> doi>
  • Kaplunov JD, Nolde EV, Rogerson GA. 2002. Short wave motion in a pre-stressed incompressible elastic plate. IMA JOURNAL OF APPLIED MATHEMATICS, vol. 67(4), 383-399. link> doi>
  • Banerjee MM and Rogerson GA. 2002. On the application of the constant deflection-contour method in nonlinear vibrations of elastic plates. ARCHIVE OF APPLIED MECHANICS, vol. 72(4-5), 279-292. link> doi>
  • ROGERSON GA and Pichugin AV. 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>
  • Murphy JG and Rogerson GA. 2002. A method to model simple tension experiments using finite elasticity theory with an application to some polyurethane foams. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, vol. 40(5), 499-510. link> doi>
  • Pichugin AV and Rogerson GA. 2002. Anti-symmetric motion of a pre-stressed incompressible elastic layer near shear resonance. JOURNAL OF ENGINEERING MATHEMATICS, vol. 42(2), 181-202. link> doi>
  • Kossovich LY, Moukhomodiarov RR, Rogerson GA. 2002. Analysis of the dispersion relation for an incompressible transversely isotropic elastic plate. ACTA MECHANICA, vol. 153(1-2), 89-111. link> doi>
  • Kossovitch LY, Moukhomodiarov RR, Rogerson GA. 2002. Long wave asymptotic integration in incompressible transversely isotropic elastic structures. ACTA MECHANICA, vol. 159(1-4), 53-64. link> doi>
  • Rogerson GA and Sandiford KJ. 2002. Some comments on the dispersion relation for periodically layered pre-stressed elastic media. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, vol. 40(1), 23-49. link> doi>
  • Pichugin AV and Rogerson GA. 2001. A two-dimensional model for extensional motion of a pre-stressed incompressible elastic layer near cut-off frequencies. IMA JOURNAL OF APPLIED MATHEMATICS, vol. 66(4), 357-385. link> doi>
  • Chattopadhyay A and Rogerson GA. 2001. Wave reflection in slightly compressible, finitely deformed elastic media. ARCHIVE OF APPLIED MECHANICS, vol. 71(4-5), 307-316. link> doi>
  • Kaplunov JD, Nolde EV, Rogerson GA. 2000. A low-frequency model for dynamic motion in pre-stressed incompressible elastic structures. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 456(2003), 2589-2610. link>
  • Erbay HA, Fu YB, Rogerson GA. 2000. Effects of pre-stress on impact waves in an incompressible elastic plate. QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, vol. 53, 531-550. link> doi>
  • Sandiford KJ and Rogerson GA. 2000. Some dynamic properties of a pre-stressed, nearly incompressible (rubber-like) elastic layer. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, vol. 35(5), 849-868. link> doi>
  • Rogerson GA and Cai ZX. 2000. Infinitesimal harmonic wave propagation in a homogeneously pre-strained idealised fibre-reinforced layer. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, vol. 51(4), 591-610. link> doi>
  • Kaplunov JD, Kossovich LY, Rogerson GA. 2000. Direct asymptotic integration of the equations of transversely isotropic elasticity for a plate near cut-off frequencies. QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, vol. 53, 323-341. link> doi>
  • Rogerson GA and Sandiford KJ. 2000. The effect of finite primary deformations on harmonic waves in layered elastic media. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, vol. 37(14), 2059-2087. link> doi>
  • Rogerson GA and Sandiford KJ. 2000. Asymptotic representations of the dispersion relation for a two-ply, pre-stressed incompressible elastic laminate. ACTA MECHANICA, vol. 143(3-4), 179-201. link> doi>
  • Rogerson GA and Sandiford KJ. 1999. Harmonic wave propagation along a non-principal direction in a pre-stressed elastic plate. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, vol. 37(13), 1663-1691. link> doi>
  • Rogerson GA and Kossovitch LY. 1999. Approximations of the dispersion relation for an elastic plate composed of strongly anisotropic elastic material. JOURNAL OF SOUND AND VIBRATION, vol. 225(2), 283-305. link> doi>
  • Rogerson GA. 1998. On the existence of surface waves and the propagation of plate waves in pre-stressed fibre-reinforced composites. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, vol. 46(9), 1581-1612. link> doi>
  • Rogerson GA and Murphy JG. 1998. Surface waves in slightly compressible, finitely deformed elastic media. MECHANICS RESEARCH COMMUNICATIONS, vol. 25(5), 493-502. link> doi>
  • Roxburgh DG and Rogerson GA. 1998. Small amplitude vibrations of an internally constrained elastic layer. JOURNAL OF SOUND AND VIBRATION, vol. 211(2), 227-247. link> doi>
  • Rogerson GA and Sandiford KJ. 1997. Flexural waves in incompressible pre-stressed elastic composites. QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, vol. 50, 597-624. link> doi>
  • Rogerson GA. 1997. Some asymptotic expansions of the dispersion relation for an incompressible elastic plate. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, vol. 34(22), 2785-2802. link> doi>
  • Rogerson GA and Sandiford KJ. 1996. On small amplitude vibrations of pre-stressed laminates. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, vol. 34(8), 853-872. link> doi>
  • ROGERSON G and FU Y. 1995. AN ASYMPTOTIC ANALYSIS OF THE DISPERSION-RELATION OF A PRESTRESSED INCOMPRESSIBLE ELASTIC PLATE. ACTA MECHANICA, vol. 111(1-2), 59-74. link> doi>
  • ROGERSON G and SCOTT N. 1994. DOUBLY CONSTRAINED ELASTIC-WAVE PROPAGATION. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, vol. 31(20), 2769-2792. link> doi>
  • FU Y and ROGERSON G. 1994. A NONLINEAR-ANALYSIS OF INSTABILITY OF A PRESTRESSED INCOMPRESSIBLE ELASTIC PLATE. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 446(1927), 233-254. link>
  • ROGERSON G and SCOTT N. 1993. SINGLY CONSTRAINED ELASTIC-WAVE PROPAGATION AND THE LIMIT OF 2 CONSTRAINTS. WAVE MOTION, vol. 18(3), 291-302. link> doi>
  • ROGERSON G. 1992. PENETRATION OF IMPACT WAVES IN A 6-PLY FIBER COMPOSITE LAMINATE. JOURNAL OF SOUND AND VIBRATION, vol. 158(1), 105-120. link> doi>
  • ROGERSON G and SCOTT N. 1992. WAVE-PROPAGATION IN SINGLY-CONSTRAINED AND NEARLY-CONSTRAINED ELASTIC-MATERIALS. QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, vol. 45, 77-99. link> doi>
  • ROGERSON G and SCOTT N. 1992. ASPECTS OF ENERGY PROPAGATION IN HIGHLY ANISOTROPIC ELASTIC SOLIDS. ACTA MECHANICA, vol. 92(1-4), 129-141. link> doi>
  • GREEN W, ROGERSON G, MILOSAVLJEVIC D. 1992. TRANSIENT WAVES IN 6-PLY AND 8-PLY FIBER COMPOSITE PLATES. COMPOSITES SCIENCE AND TECHNOLOGY, vol. 44(2), 151-158. link> doi>
  • ROGERSON G. 1991. DYNAMIC-RESPONSE OF AN 8-PLY COMPOSITE PLATE TO AN IMPULSIVE LINE LOAD. MECHANICS RESEARCH COMMUNICATIONS, vol. 18(6), 385-394. link> doi>
  • ROGERSON G. 1991. A MULTI-CONSTRAINED ELASTIC WAVE PROBLEM. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, vol. 29(8), 961-967. link> doi>
  • ROGERSON G. 1991. SOME DYNAMIC PROPERTIES OF INCOMPRESSIBLE, TRANSVERSELY ISOTROPIC ELASTIC MEDIA. ACTA MECHANICA, vol. 89(1-4), 179-186. link> doi>
  • ROGERSON G. 1991. WAVE-PROPAGATION IN ELASTIC BODIES WITH RESTRICTED SHEAR. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, vol. 28(5), 647-655. link> doi>
  • ROGERSON G and SCOTT N. 1991. WAVE-PROPAGATION IN EXCEPTIONAL DIRECTIONS IN MULTI-CONSTRAINED ELASTIC SOLIDS. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, vol. 29(11), 1337-1348. link> doi>

Other

  • Rogerson GA, Kirillova IV, Parfenova YA. 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>
  • Rogerson GA and Pichugin AV. 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>
  • Rogerson GA and Sandiford KJ. 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>