Professor A Russell Davies
Overview
Position:
Head of School
Email:
daviesr@cardiff.ac.ukTelephone: +44(0)29 208 74827
Fax: +44(0)29 208 74199
Extension: 74827
Location: M/1.17
Research Interests
Inverse problems in materials characterization.
Numerical inversion of integral transforms.
Mechanics of time-dependent materials.
Mathematical problems in imaging science.
Computational partial differential equations.
Research Group
Recent Significant Publications
Anderssen RS, Davies A R, de Hoog FR. On the Volterra integral equation relating creep and relaxation. INVERSE PROBLEMS Volume: 24 Issue: 3 Article Number: 035009 13pp Published: 2008 doi: 10.1088/0266-5611/24/3/035009
Anderssen RS, Davies A R, de Hoog FR. The effect of kernel perturbations when solving the interconversion convolution equation of linear viscoelasticity. APPLIED MATHEMATICS LETTERS Volume: 24 Issue: 1 Pages: 71-75 Published: 2011
Anderssen RS, Davies A R, de Hoog FR. On the sensitivity of interconversion between relaxation and creep. RHEOLOGICA ACTA Volume: 47 Issue: 2 Pages: 159-167 Published: 2008
Teaching
Administrative Duties
Financial Matters/Financial Plan
Management of School
Staff Appraisal and Development
Strategic Plan/Annual Report
Teaching Loads
Chair of the School Management Committee
Member of School Admissions Committee
Member of School Research Committee
Member of School Staff/Student Panel
Member of School Teaching and Learning Committee
Publications
Recent papers on inverse problems
1. A.R. Davies and R.S. Anderssen. Sampling Localization in Determining the Relaxation Spectrum. J. Non-Newtonian Fluid Mech. 73, 163-179, 1997.
2. A.R. Davies and R.S. Anderssen. Sampling Localization and Duality Algorithms in Practice. J. Non-Newtonian Fluid Mech. 79, 235-253, 1998.
3. A.R. Davies and C.M Newbury. Moving average formulae for the direct recovery of the relaxation spectrum. In “ Proceeding of the XIIIth International Congress in Rheology” D M Binding, N E Hudson, J Mewis, J-M Piau, C J S Petrie, P Townsend, M H Wagner and K Walters (Eds.), British Society of Rheology, Glasgow, 2, 205-207, 2000.
4. R.J. Loy, C.M. Newbury, R.S. Anderssen and A.R. Davies. A duality proof ofsampling localization. Bulletin Aust. Math. Soc., 64. 265-269, 2001
5. R.S. Anderssen and A.R. Davies. Simple Moving Average Formulae for Estimating the Relaxation Spectrum. J. Rheology 45,1-27, 2001.
6. A.R. Davies, D. Morgan and P.R. Williams. Relating the relaxation spectrum to wave dispersion data. Journal of Non-Newtonian Fluid Mechanics 124, 25-32, 2004.
7. A.R. Davies and P.R Williams. Recent advances in differential mechanical spectroscopy. Proceedings: XVIth International Congress of Rheology, RE35 pp1-4, Korean Society of Rheology, Seoul 2004.
8. A. Nikonov, A. R. Davies and I. Emri. The determination of creep and relaxation functions from a single experiment. J. Rheol. 49 (2005) 1193-1211
9. R. S. Anderssen, A.R. Davies and F. R. de Hoog. On interconversion between creep and relaxation functions. The ANZIAM Journal, 48 (2006) C346-C363.
10 . R. S. Anderssen, A.R Davies and F. R. de Hoog. On the sensitivity of interconversion between relaxation and creep Rheologica Acta online: 10.1007/s00397-007-0223-6.
Research
External Funding Since 2000
2000-02: The computation of complex industrial EPSRC £49,800 non-Newtonian flows -JREI
2000-4: Mathematical and Numerical Modelling of Leaf(UK) Confectionery Manufacture -EPSRC £38,500
2000-3: Complex fluids and complex flows. EPSRC £583,000 UWS/UWA Platform Grant
2001: Resource capital for complex fluids research HEFCW £100,000
2002-7: Unilever Research Consultancy Unilever £70,000
2004-6: SRIF2 Resource for Computational Fluid Dynamics HEFCW £650,000
Major Conference Talks Since 2004
Aug 2004. Relating the Relaxation Spectrum to Wave Dispersion Data. VIIIth International Workshop on Time Dependent Materials, Bled.
Jan 2005. Wobble, Creep and Relaxation: Modelling Materials with Memory. SIAM UK-IE Meeting, Cork.
April 2005. Determining Creep and Relaxation Functions from a Single Experiment. AERC 2005, Grenoble.
October 2005. On Creep and Relaxation. Vth International Conference on Mechanics of Time Dependent Materials. Nagano, Japan.
August 2006. Recent advances in Linear Viscoelasticity. IXth International Workshop on Time Dependent Materials. Portoroz.
Postgraduate Students
Current
Graduated (Since 2000)
D.Morgan
G. Bowers
M. al Hodaly
S.L.Huang
Eman el Aidarous
Biography
Qualifications
1969 - BSc Hons Mathematics and Physics, King’s College, London
1971 - MSc (Mathematics), Oxford University, Balliol College
1974 - D Phil (Mathematics), Oxford University, Balliol College
Scholarships - Thomas and Elizabeth Williams Scholar, 1970-73; Balliol College Graduate Award, 1971-1973
Membership of Learned Societies
Institute of Mathematics and its Applications (MIMA, CMath)
London Mathematical Society
British Society of Rheology
SIAM
Appointments
1973-75: Atlas Research Fellow in Mathematics, Pembroke College Oxford and SERC Rutherford-Appleton Laboratory
1976-85: Lecturer in Applied Mathematics, The University College of Wales, Aberystwyth
1984: Visiting Fellow, Centre for Mathematical Analysis, Australian National University
1984: Visiting Scientist, Division of Mathematics and Statistics, CSIRO, Canberra
1984-86: Senior Lecturer in Applied Mathematics, UCW, Aberystwyth
1986: Visiting Fellow, Centre for Mathematical Analysis, Australian National University
1986-90: Reader in Mathematics, UCW, Aberystwyth
1990: Visiting Fellow, Centre for Mathematical Analysis, Australian National University
1990-to date: Professor of Mathematics, UCW, Aberystwyth (now UWA)
1990: Visiting Fellow, Department of Mathematics, Melbourne University
1998: Visiting Scientist, CSIRO Mathematical and Information Sciences, Canberra
2000: Visiting Scientist, CSIRO Mathematical and Information Sciences, Canberra
2000-2003: Head of Department of Mathematics, UWA
2006: Visiting Scientist, CSIRO Mathematical and Information Sciences, Canberra
2006-to date: Head of the School of Mathematics, Cardiff University
Editorial Boards and Advisory Committees
Editorial Board: Inverse Problems (1988-92)
Editorial Board: Numerical Methods for Partial Differential Equations, 1992-
Council: British Society of Rheology (1994 - 2000)
Scientific Committee: Smith Institute for Industrial Mathematics and System Engineering, 2000–2006
Scientific Committee: KTN for Industrial Mathematics 2007-
Awards and Honours
Annual Award: British Society of Rheology 2005
President: Society of Industrial and Applied Mathematics, United Kingdom and Ireland m2007-2009
Consultancies
National Physical Laboratory, Teddington
Shell Research Limited, Thornton
RAPRA Technology, Shawbury
BICC Cables, Chester
Devro-Teepak Limited, Moodiesburn
Nestle Research Laboratory, Lausanne
Leaf UK, Southport
Unilever UK, Port Sunlight