Dr. Stéphane Bordas

Lecturer in Civil Engineering

Professional interests

My research concentrates on the development of more efficient numerical techniques for the simulation of various physical phenomena, with an emphasis on moving boundary problems (fracture mechanics, biofilm growth). To date, I have focused on modifications of the finite element method (extended finite elements (XFEM) and the smooth finite element method (SFEM)), and, more recently, so-called meshfree methods, with Dr. Timon Rabczuk, through what is a most fruitful collaboration.
The second main research direction I have been pursuing is a posteriori error estimation and adaptivity for partition of unity enriched numerical techniques such as the XFEM. This work is done in conjunction with Dr Marc Duflot (CENAERO, Belgium), Dr Sergey Korotov (HUT, Helsinki, Finland), Dr Marcus Rueter and Professor Tiantang Yu (HHU, China). Our goal is to devise efficient and effective error estimators and adaptivity techniques for the XFEM, including goal-oriented error measures for fracture mechanics.

Publications (since 2006)

A full listing can be found Dr. Bordas''s personal webpage.

2007

• BORDAS, S.and DUFLOT, M. (2007), "A posteriori error estimation for extended finite element methods (XFEM)", 8th National Symposium in Calculation of Structures, 21-25 May, Giens France,
• BORDAS, S., NGUYEN-XUAN, H, RABCZUK, T.and NGUYEN DANG, H. (2007), "Smooth finite element methods", 15th UK Conference of the Association of Computational Mechanics in Engineering (ACME), 2-3 April, Glasgow, UK, Civil-Comp Press, ISBN: 978-1-905088-13-3 (CD Rom)
• BORDAS, S.and DUFLOT, M. (2007), "First attempts at a posteriori error estimation in extended finite element methods", 15th UK Conference of the Association of Computational Mechanics in Engineering (ACME), 2-3 April, Glasgow, UK, Civil-Comp Press, ISBN: 978-1-905088-13-3 (CD Rom)
• BORDAS, S., NGUYEN-XUAN, Hand NGUYEN DANG, H. (2007), "Smooth Finite Elements", 8th National Symposium in Calculation of Structures, 21-25 May, Giens France,
• BORDAS, S.and DUFLOT, M. (2007), "A posteriori error estimation for extended finite element methods", International Conference on Computational Fracture and Failure of Materials and Structures, 11-13 June, Nantes, France,
• BORDAS, S., RABCZUK, T.and ZI, G. (2007), "Three-dimensional crack initiation, propagation, branching & junction in non-linear materials by an extended meshfree method without asymptotic enrichment", Engineering Fracture Mechanics, Vol. 75(5), pp. 943-960 (DOI: 10.1016/j.engfracmech.2007.05.010)
• BORDAS, S., CONLEY, J. G., MORAN, B., GRAY, J.and NICHOLS, E (2007), "A simulation-based design paradigm for complex cast components", Engineering with Computers, Vol. 23(1), pp. 25-37 (DOI: 10.1007/s00366-006-0030-1)
• BORDAS, S., DUFLOT, M.and LE, P (2007), "A sImple error estimator for extended finite elements", Communications in Numerical Methods in Engineering (DOI: 10.1002/cnm.1001)
• BORDAS, S., P.V., NGUYEN, DUNANT, C., NGUYEN-DANG, H.and GUIDOUM, A. (2007), "An extended finite element library", International Journal for Numerical Methods in Engineering, Vol. 71(6), pp. 703-732 (DOI: 10.1002/nme.1966)
• BORDAS, S.and DUFLOT, M. (2007), "Derivative recovery and a posteriori error estimate for extended finite elements", Computer Methods in Applied Mechanics and Engineering, Vol. 196(35-36), pp. 3381-3399 (DOI: 10.1016/j.cma.2007.03.011)
• DUDDU, R., BORDAS, S., CHOPP, D.and MORAN, B. (2007), "A combined extended finite element and level set method for biofilm growth", International Journal for Numerical Methods in Engineering (DOI: 10.1002/nme.2200)
• DUNANT, C., NGUYEN VINH, P., BELGAS-MIA, M., BORDAS, S.and GUIDOUM, A. (2007), "Architecture tradeoffs of integrating a mesh generator to partition of unity enriched object-oriented finite element software", European Journal of Computational Mechanics, Vol. 16(2), pp. 237-258 (DOI: 10.3166/remn.16.237-258)
• NGUYEN-XUAN, H., RABCZUK, T., BORDAS, S.and DEBONGNIE, JF. (2007), "A smoothed finite element method for plate analysis", Computer Methods in Applied Mechanics and Engineering, Vol. 197(13-16), pp. 1184-1203 (DOI: 10.1016/j.cma.2007.10.008)
• NGUYEN-XUAN, H., BORDAS, S.and NGUYEN-DANG, H. (2007), "Smooth finite element methods: convergence, accuracy and properties", International Journal for Numerical Methods in Engineering (DOI: 10.1002/nme.2146)
• RABCZUK, T., BELYTSCHKO, T., BORDAS, S.and ZI, G. (2007), "Enriched meshfree methods for crack problems", Ninth US National Congress on Computational Mechanics (USNCCM9), 22-26 July, San Francisco, USA,
• RABCZUK, T., BORDAS, S.and ZI, G. (2007), "An enriched meshfree method for multiple cracks in three dimensions", 15th UK Conference of the Association of Computational Mechanics in Engineering (ACME), 2-3 April, Glasgow, UK, Civil-Comp Press, ISBN: 978-1-905088-13-3 (CD Rom)
• RABCZUK, T., BORDAS, S.and ZI, G. (2007), "Initiation, nucleation and propagation of cracks in a cohesive way without mesh enriched in the quasi-sensitive materials: large strains, quasi-static and dynamic", 8th National Symposium in Calculation of Structures, 21-25 May, Giens, France,
• RABCZUK, T., BORDAS, S.and ZI, G. (2007), "A three-dimensional meshfree method for continuous multiple-crack initiation, propagatic and junction in statics and dynamics", Computational Mechanics, Vol. 40(3), pp. 473-495 (DOI: 10.1007/s00466-006-01222-1)
• ZI, G., RABCZUK, T.and BORDAS, S. (2007), "Extended Element Free Galerkin Method without Partial Enrichment", The International Conference on Computational Methods, 4-6 April, International Conference Centre Hiroshima, Japan,

2006

• BORDAS, S.and MORAN, B. (2006), "Enriched finite elements and level sets for damage tolerance assessment of complex structures", Engineering Fracture Mechanics, Vol. 73(9), pp. 1176-1201 (DOI: 10.1016/j.engfracmech.2006.01.006)