Marc Duflot

Please visit my current web page. The information below is outdated.

I was a research fellow in the Fracture mechanics group of the University of Liège.
Now I'm working at CENAERO.
You can reach me by email at marc.duflot@cenaero.be.
Below, you can find the links to download my thesis in french and some papers in english containing roughly the same material.
Please, send me an email if you have any comments or questions about them.

Application of meshless methods in fracture mechanics.
Application des méthodes sans maillage en mécanique de la rupture.

Download the thesis in pdf (in french).
(© 2004 Marc Duflot. You are free to copy, distribute and modify this work if you keep the copyright notice.)

Marc Duflot (2007).
The extended finite element method for thermoelastic fracture mechanics.
International Journal for Numerical Methods in Engineering (submitted).

Marc Duflot and Stéphane Bordas (2007).
A posteriori error estimation for extended finite elements by an extended global recovery.
International Journal for Numerical Methods in Engineering (submitted).

Stéphane Bordas and Marc Duflot (2007).
Derivative recovery and a posteriori error estimate for extended finite elements.
Computer Methods in Applied Mechanics and Engineering (in press).

Stéphane Bordas, Marc Duflot and Phong Le (2007).
A simple error estimator for extended finite elements.
Communications in Numerical Methods in Engineering (in press).

Éric Wyart, Danielle Coulon, Marc Duflot, Thomas Pardoen, Jean-François Remacle and Frédéric Lani (2007).
A substructured FE-shell/XFE 3D method for crack analysis in thin walled structures.
International Journal For Numerical Methods in Engineering (in press).

Marc Duflot (2007).
Crack propagation in a mirror plane by XFEM with an application to a hydraulic cylinder.
Computational Mechanics (submitted).
Available on request.

Marc Duflot (2007).
A study of the representation of cracks with level sets.
International Journal for Numerical Methods in Engineering (in press, available online).
Available on request.

É. Wyart, M. Duflot, D. Coulon, P. Martiny, T. Pardoen, JF. Remacle, F. Lani (2007).
Substructuring FE-XFE approaches applied to three-dimensional crack propagation.
Journal of Computational and Applied Mathematics (in press).
Selected papers from the Third International Conference on Advanced Computational Methods in Engineering (ACOMEN 2005).

Marc Duflot (2006).
A meshless method with enriched weight functions for three-dimensional crack propagation.
International Journal for Numerical Methods in Engineering 65:1970—2006.
Download the preprint in pdf (© 2006 John Wiley & Sons, Ltd.)

Marc Duflot and Hung Nguyen-Dang (2004).
A meshless method with enriched weight functions for fatigue crack growth.
International Journal for Numerical Methods in Engineering 59:1945—1961.
Download the preprint in pdf (© 2004 John Wiley & Sons, Ltd.)

Marc Duflot and Hung Nguyen-Dang (2004).
Fatigue crack growth analysis by an enriched meshless method.
Journal of Computational and Applied Mathematics 168:155—164.
Selected papers from the Second International Conference on Advanced Computational Methods in Engineering (ACOMEN 2002).

Marc Duflot and Hung Nguyen-Dang (2004).
Global error estimation with displacement and equilibrium meshless methods.
In Z.H. Yao, M.W. Yuan, W.X. Zhong (editors): Computational Mechanics:316—321. Tsinghua University Press, Beijing.

Marc Duflot and Hung Nguyen-Dang (2002).
Dual analysis by a meshless method.
Communications in Numerical Methods in Engineering 18:621—631.
Download the preprint in pdf (© 2002 John Wiley & Sons, Ltd.)

Marc Duflot and Hung Nguyen-Dang (2002).
A truly meshless Galerkin method based on a moving least squares quadrature.
Communications in Numerical Methods in Engineering 18:441—449.
Download the preprint in pdf (© 2002 John Wiley & Sons, Ltd.)

Marc Duflot.
New methods for representing propagating crack with level sets.
World Congress in Computational Mechanics VII, Los Angeles (USA), July 2006.

Éric Wyart, Danielle Coulon, Marc Duflot, Jean-François Remacle Thomas Pardoen, and Frédéric Lani.
A FE shell-XFE 3D formulation applied to delamination in composite shells.
World Congress in Computational Mechanics VII, Los Angeles (USA), July 2006.

Lara Vigneron, Marc Duflot, Jacques Verly and Simon Warfield.
Application of XFEM to image-guided surgery.
8th U.S. National Congress on Computational Mechanics, Austin (USA), July 2005.

Éric Wyart, Marc Duflot, Danielle Coulon, Philippe Martiny, Thomas Pardoen, Jean-François Remacle and Frédéric Lani.
Multi-level finite element/ extended finite element approaches for crack propagation in industrial fatigue analysis procedures.
European Conference for Aerospace Science, Moscow (Russia), July 2005.

Éric Wyart, Marc Duflot, Danielle Coulon, Philippe Martiny, Thomas Pardoen, Jean-François Remacle and Frédéric Lani.
Substructuring FE-XFE approaches applied to three-dimensional crack propagation.
3rd International Conference on Advanced Computational Methods in Engineering, Ghent (Belgium), May 2005.

Marc Duflot and Hung Nguyen-Dang.
Global error estimation with displacement and equilibrium meshless method.
Keynote paper for a minisymposium at the World Congress in Computational Mechanics VI, Beijing (China), September 2004.

Marc Duflot and Hung Nguyen-Dang.
Fatigue crack growth analysis by an enriched meshless method.
2nd International Conference on Advanced Computational Methods in Engineering, Liège (Belgium), June 2002.

Marc Duflot and Hung Nguyen-Dang.
A new truly meshless Galerkin method.
International colloquium in mechanics of solids, fluids, structures, and interactions, Nha Trang (Vietnam), May 2000.