Profile

Professor Jon Trevelyan, BSc PhD FIMechE CEng

Personal web page

(email at jon.trevelyan@durham.ac.uk)

Biography

Jon Trevelyan obtained his PhD from the University of Bristol in 1984, studying transfer function methods for the determination of the dynamic properties of arch dams. After working as a graduate engineer for Gibb, he joined the Computational Mechanics (CM) Group to work on commercial software based on the boundary element method. He stayed with CM for twelve years, seven of which were spent as Vice-President of CM, Inc. in Massachusetts, with responsibility for the operations of the group in North America, Canada and Mexico. In 1995, he returned to the UK and was appointed a Senior Lecturer at the University of Brighton. One year later he joined Durham University. Since 2007 he has been the Head of the Mechanics Research & Teaching Group, and in 2013 he was appointed Head of the School of Engineering and Computing Sciences. Jon's research involves the use of the boundary element method (BEM) in various areas: enriched BEM algorithms for short wave propagation, enriched BEM algorithms for fracture mechanics, interactive stress analysis/re-analysis and topology optimisation.

For more details on research projects, see http://www.dur.ac.uk/jon.trevelyan/JTResearchPage.htm

Research Groups

• Mechanics Research Group

Research Interests

• Boundary elements
• Enriched boundary elements for fracture mechanics
• Enriched boundary elements for short wave propagation
• Interactive stress analysis software development

Selected Publications

Journal papers: academic

• Allen, JG, Coates, G & Trevelyan, J (2013). A hyper-heurstic approach to aircraft structural optimization. Structural and Multidisciplinary Optimization
• Mohamed, M.S., Seaid, M., Trevelyan, J. & Laghrouche, O. (2013). A partition of unity FEM for time-dependent diffusion problems using multiple enrichment functions. International Journal for Numerical Methods in Engineering 93(3): 245-265.
• Simpson, R.N., Bordas, S.P.A., Lian, H. & Trevelyan, J. (2013). An Isogeometric Boundary Element Method for elastostatic analysis: 2D implementation aspects. Computers & Structures 118: 2-12.
• Peake, MJ, Trevelyan, J & Coates, G (2013). Extended isogeometric boundary element method (XIBEM) for two-dimensional Helmholtz problems. Computer Methods in Applied Mechanics and Engineering 259: 93-102.
• Peake, M.J., Trevelyan, J. & Coates, G. (2013). Novel basis functions for the partition of unity boundary element method for Helmholtz problems. International Journal for Numerical Methods in Engineering 93(9): 905-918
• Simpson, R.N., Bordas, S.P.A., Trevelyan, J. & Rabczuk, T. (2012). A two-dimensional Isogeometric Boundary Element Method for elastostatic analysis. Computer Methods in Applied Mechanics and Engineering 209-212: 87-100.
• Cui, H., Zhang, B., Johnstone, S. & Trevelyan, J. (2012). Excitation mechanisms and dispersion characteristics of guided waves in multilayered cylindrical solid media. Journal of the Acoustical Society of America 131(3): 2048-2062.
• Laghrouche, O., El-Kacimi, A. & Trevelyan, J. (2012). Extension of the PUFEM to elastic wave propagation in layered media. Journal of Computational Acoustics 20(02): 1240006, 1240006-1.
• Foster, T.M., Mohamed, M.S., Trevelyan, J. & Coates, G. (2012). Rapid re-meshing and re-solution of three-dimensional boundary element problems for interactive stress analysis. Engineering Analysis with Boundary Elements 36(9): 1331-1343.
• Simpson, Robert & Trevelyan, Jon (2011). A partition of unity enriched dual boundary element method for accurate computations in fracture mechanics. Computer Methods in Applied Mechanics and Engineering 200(1-4): 1-10.
• Cui, H., Trevelyan, J. & Johnstone, S. (2011). Anomalous dispersion of flexural guided waves in clad rods. IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control 58(7): 1525-1528.
• Simpson, R. & Trevelyan, J. (2011). Evaluation of J1 and J2 integrals for curved cracks using an enriched Boundary Element Method. Engineering Fracture Mechanics 78(4): 623-637.
• Cui, H., Trevelyan, J. & Johnstone, S. (2011). Stoneley waves in three-layered cylindrical solid media. Journal of the Acoustical Society of America 130(1): EL44-49.
• Laghrouche, O., El-Kacimi, A. & Trevelyan, J. (2010). A comparison of NRBCs for PUFEM in 2D Helmholtz problems at high wave numbers. Journal of Computational and Applied Mathematics 234(6): 1670-1677.
• Bird, G.E., Trevelyan, J. & Augarde, C.E. (2010). A coupled BEM/Scaled Boundary FEM formulation for accurate computations in linear elastic fracture mechanics. Engineering Analysis with Boundary Elements 34(6): 599-610.
• Mohamed, M.S., Laghrouche, O. & Trevelyan, J. (2010). A q-adaptive partition of unity finite element method for the solution of the 2D Helmholtz equation. Materials Science and Engineering 10: 1-8.
• Honnor, M. E., Trevelyan, J. & Huybrechs, D. (2010). Numerical evaluation of two-dimensional partition of unity boundary integrals for Helmholtz problems. Journal of Computational and Applied Mathematics 234(6): 1656-1662.
• Trevelyan, J. & Coates, G. (2010). On adaptive definition of the plane wave basis for wave boundary elements in acoustic scattering: the 2D case. Computer Modeling in Engineering and Sciences 55(2): 147-170.
• Trevelyan, J. & Honnor, M. E. (2009). A numerical coordinate transformation for efficient evaluation of oscillatory integrals over wave boundary elements. Journal of Integral Equations and Applications 21(3): 447-468.
• Honnor, M.E., Trevelyan, J., Bettess, P., El hachemi, M., Hassan, O., Morgan, K. & Shirron, J. (2009). An integration scheme for electromagnetic scattering using plane wave edge elements. Advances in Engineering Software 40(1): 58-65.
• Chidgzey, S.R., Trevelyan, J. & Deeks, A.J. (2008). Coupling of the boundary element method and the scaled boundary finite element method for computations in fracture mechanics. Computers and Structures 86(11-12): 1198-1203.
• Lewis, A.P., Stewart, C., Postans, N. & Trevelyan, J. (2007). Development of an instrumented pole test for use as a gait laboratory quality check. Gait and Posture 26(2): 317-322.
• Trevelyan, J. & Scales, D.J. (2007). Techniques to accelerate BEM computation to provide virtual reality update of stress solutions. Engineering Analysis with Boundary Elements 31(11): 875-889.
• Cervera, E. & Trevelyan, J. (2005). Evolutionary structural optimisation based on boundary representation of NURBS: Part I: 2D algorithms. Computers & Structures 83(23-24): 1902-1916.
• Cervera, E. & Trevelyan, J. (2005). Evolutionary structural optimisation based on boundary representation of NURBS: Part II: 3D algorithms. Computers & Structures 83(23-24): 1917-1929.
• Perrey-Debain, E., Trevelyan, J. & Bettess, P. (2005). On wave boundary elements for radiation and scattering problems with piecewise constant impedance. IEEE transactions on antennas and propagation 53(2): 876-879.
• Laghrouche, O., Bettess, P., Perrey-Debain, E. & Trevelyan, J. (2005). Wave interpolation finite elements for Helmholtz problems with jumps in the wave speed. Computer Methods In Applied Mechanics And Engineering 194(2-5): 367-381.
• Perrey-Debain, E., Laghrouche, O., Bettess, P. & Trevelyan, J. (2004). Plane-wave basis finite elements and boundary elements for three-dimensional wave scattering. Philosophical transactions mathematical, physical and engineering sciences 362(1816): 561-577.
• Perrey-Debain, E., Trevelyan, J. & Bettess, P. (2004). Wave boundary elements a theoretical overview presenting applications in scattering of short waves. Engineering analysis with boundary elements 28(2): 131-141.
• Bettess, P., Shirron, J., Laghrouche, O., Peseux, B., Sugimoto, R. & Trevelyan, J. (2003). A numerical integration scheme for special finite elements for the Helmholtz equation. International Journal For Numerical Methods In Engineering 56(4): 531-552.
• Sugimoto, R., Bettess, P. & Trevelyan, J. (2003). A numerical integration scheme for special quadrilateral finite elements for the Helmholtz equation. Communications In Numerical Methods In Engineering 19(3): 233-245.
• Perrey-Debain, E., Trevelyan, J. & Bettess, P. (2003). P-wave and S-wave decomposition in boundary integral equation for plane elastodynamic problems. Communications In Numerical Methods In Engineering 19(12): 945-958.
• Laghrouche, O., Bettess, P., Perrey-Debain, E. & Trevelyan, J. (2003). Plane wave basis finite-elements for wave scattering in three dimensions. Communications In Numerical Methods In Engineering 19(9): 715-723.
• Perrey-Debain, E., Trevelyan, J. & Bettess, P. (2003). Plane wave interpolation in direct collocation boundary element method for radiation and wave scattering numerical aspects and applications. Journal of sound and vibration 261(5): 839-858.
• Perrey-Debain, E., Trevelyan, J. & Bettess, P. (2003). Use of wave boundary elements for acoustic computations. Journal Of Computational Acoustics 11(2): 305-321.
• Trevelyan, J., Wang, P. & Walker, S.K. (2002). A scheme for engineer-driven mechanical design improvement. Engineering Analysis With Boundary Elements 26(5): 425-433.
• Perrey-Debain, E., Trevelyan, J. & Bettess, P. (2002). New special wave boundary elements for short wave problems. Communications In Numerical Methods In Engineering 18(4): 259-268.
• Trevelyan, J. & Wang, P. (2001). Interactive re-analysis in mechanical design evolution: Part I: Background and implementation. Computers & Structures 79(9): 929-938.
• Trevelyan, J. & Wang, P. (2001). Interactive re-analysis in mechanical design evolution: Part II: Rapid evaluation of boundary element integrals. Computers & Structures 79(9): 939-951.

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Supervises

• Mr Jonathan Allen
• Mr Matthew Whittle
• Mr Timothy Foster
• Mr Baseer Ullah
• Mr Ganesh Diwan
• Ms Lisha He
• Mr Steven Cox
• Mr Michael J Peake
• Mr Ibrahim Alatawi
• Mr St Piano