Dr Mike K Warby

Contact

Mathematical Sciences John Crank 301 Brunel University Uxbridge UB8 3PH United Kingdom

Tel: +44 (0)1895 265604 Fax: +44 (0)1895 269732 Email: mike.warby@brunel.ac.uk Web: Personal Website

Research Interests

Various areas of computational solid mechanics and the use of the finite element method. The areas include viscoelasticity (linear and non-linear), viscoelastic fracture and the modelling of the thermoforming process.

University Research Centre Membership

Publications

Journal Papers

(2010) Shaw, S., Warby, MK. and Whiteman, JR., Discretization error and modelling error in the context of the rapid inflation of hyperelastic membranes, IMA Journal of Numerical Analysis 30 (1) : 302- 333 Download publication

(2008) Jiang, W-G., Warby, MK. and Henshall, JL., Statically indeterminate contacts in axially loaded wire strand, European Journal of Mechanics - A: Solids 27 (1) : 69- 78

(2006) Karamanou, M., Warby, MK. and Whiteman, JR., Computational modelling of thermoforming processes in the case of finite viscoelastic materials, Computer Methods in Applied Mechanics and Engineering 195 (37-40) : 5220- 5238

(2005) Karamanou, M., Shaw, S., Warby, MK. and Whiteman, JR., Models, algorithms and error estimation for computational viscoelasticity, Computer Methods in Applied Mechanics and Engineering 194 (2-5) : 245- 265

(2003) Jiang, W-G., Warby, MK., Whiteman, JR., Abbott, S., Shorter, W., Warwick, P., Wright, T., Munro, A. and Munro, B., Finite element modelling of high air pressure forming processes for polymer sheets, Computational Mechanics 31 (1-2) : 163- 172

(2003) Warby, MK., Whiteman, JR., Jiang, W-G., Warwick, P. and Wright, T., Finite element simulation of thermoforming processes for polymer sheets, Mathematics and Computers in Simulation 61 (3-6) : 209- 218

(2001) Kirby, JA., Warby, MK. and Whiteman, JR., Superconvergence and an error estimator for the finite element analysis of beams and frames, Numerical Methods for Partial Differential Equations 17 (2) : 169- 197

(2000) Andrä, H., Warby, MK. and Whiteman, JR., Contact problems of hyperelastic membranes: existence theory, Mathematical Methods in the Applied Sciences 23 (10) : 865- 895

(1997) Shaw, S., Warby, MK. and Whiteman, JR., Error estimates with sharp constants for a fading memory Volterra problem in linear solid viscoelasticity, SIAM Journal on Numerical Analysis 34 (3) : 1237- 1254

(1996) Shaw, S., Warby, MK. and Whiteman, JR., Discrete schemes for treating hereditary problems of viscoelasticity and applications, Journal of Computational and Applied Mathematics 74 (1-2) : 313- 329

(1995) Janovsky, V., Shaw, S., Warby, MK. and Whiteman, JR., Numerical methods for treating problems of viscoelastic isotropic solid deformation, Journal of Computational and Applied Mathematics 63 (1-3) : 91- 107

(1994) Shaw, S., Warby, MK., Whiteman, JR., Dawson, C. and Wheeler, MF., Numerical techniques for the treatment of quasistatic viscoelastic stress problems in linear isotropic solids, Computer Methods in Applied Mechanics and Engineering 118 (3-4) : 211- 237

(1992) Warby, MK., Walton, JR. and Whiteman, JR., A finite element model of crack growth in a finite body in the context of mode I linear viscoelastic fracture, Computer Methods in Applied Mechanics and Engineering 97 (3) : 375- 397

(1988) Warby, MK. and Whiteman, JR., Finite element model of viscoelastic membrane deformation, Computer Methods in Applied Mechanics and Engineering 68 (1) : 33- 54

(1987) Papamichael, N., Kokkinos, CA. and Warby, MK., Numerical techniques for conformal mapping onto a rectangle, Journal of Computational and Applied Mathematics 20 349- 358

(1986) Papamichael, N. and Warby, MK., Stability and convergence properties of Bergman kernel methods for numerical conformal mapping, Numerische Mathematik 48 (6) : 639- 669

(1986) Papamichael, N., Warby, MK. and Hough, DM., The treatment of corner and pole-type singularities in numerical conformal mapping techniques, Journal of Computational and Applied Mathematics 14 (1-2) : 163- 191

(1984) Papamichael, N. and Warby, MK., Pole-type singularities and the numerical conformal mapping of doubly-connected domains, Journal of Computational and Applied Mathematics 10 (1) : 93- 106

(1983) Papamichael, N., Warby, MK. and Hough, DM., The determination of the poles of the mapping function and their use in numerical conformal mapping, Journal of Computational and Applied Mathematics 9 (2) : 155- 166

Conference Papers

(2003) Karamanou, M., Shaw, S., Warby, MK. and Whiteman, JR., Models, algorithms and error estimation for computational viscoelasticity, 11th Conference on Mathematics of Finite Elements and Applications (MAFELAP 2003)

(2007) Szegda, D., Song, J., Warby, MK. and Whiteman, JR., Computational modelling of a thermoforming process for thermoplastic starch, AIP Conference Proceedings: Materials Processing and Design; Modelling, Simulation and Applications, 908 35- 48

(2003) Warby, MK., Whiteman, JR., Jiang, W-G., Warwick, P. and Wright, T., Finite element simulation of thermoforming processes for polymer sheets, 2nd IMACS Conference on Mathematical Modelling and Computational Methods in Mechanics, Physics, Biomechanics and Geodynamics, Mathematics and Computers in Simulation (61) : 209- 218