Patrick Laborde

Institut de Mathématiques de Toulouse
31062 TOULOUSE CEDEX 09, France

Batiment 1R3, Bureau 316
tel: (33) 5 61 55 63 77
fax: (33) 5 61 55 83 85
e-mail : patrick.laborde AT math.univ-toulouse.fr

Research interests

• Mathematical modelling and finite element methods for some nonlinear problems in solids mechanics
• Extended finite element methods (XFEM) in fracture problems
• Numerical solution of damage problems for C/C composite materials
• Computational methods for unilateral contact and friction problems between two elastic bodies
• Mathematical analysis of problems in non standard plasticity

Publications

• P. Laborde, B. Toson, M. Odunlami High temperature damage model for carbon-carbon composites. Submitted, 28 p.
• B. Toson, P. Laborde. Damage problems under thermal loading : a numerical methodology. Submitted, 47 p.
• E. Chahine, P. Laborde, Y. Renard. A non-conformal extended finite element approach: Integral matching xfem. Submitted, 23 p.
• E. Chahine, P. Laborde, Y. Renard. A reduced basis enrichment for the extended finite element method. Math. Model. Nat. Phenom., 4(1):88-105, 2009.
• E. Chahine, P. Laborde, Y. Renard. Spider-xfem, an extended finite element variant for partially unknown crack-tip displacement. European Journal of Computational Mechanics, 15(5-7):625-636, 2008.
• H. Khenous, P. Laborde, Y. Renard. Mass redistribution method for finite element contact problems in elastodynamics. Eur. J. Mech., A/Solids, 27(5):918-932, 2008.
• P. Laborde, Y. Renard. Fixed points strategies for elastostatic frictional contact problems. Math. Meth. Appl. Sci., 31:415-441, 2008.
• E. Chahine, P. Laborde, Y. Renard. Crack-tip enrichment in the Xfem method using a cut-off function. Int. J. Numer. Meth. Engng., 75(6):629-646, 2008.
• E. Chahine, P. Laborde, J. Pommier, Y. Renard, M. Salaun. Study of some optimal xfem type methods. Advances in Meshfree Techniques, Computational Methods in Applied Sciences, vol. 5:27-40, 2007.
• P. Laborde, J. Pommier, Y. Renard, M. Salaün. Une méthode xfem d'ordre supérieur optimale. Revue Européenne de Mécanique Numérique, Vol 15/1-2-3:233-244, 2006.
• H.B. Khenous, P. Laborde, Y. Renard. A comparison of two approaches for the discretization of elastodynamic contact problems. C.R. Math. Acad. Sci. Paris, 342:791-796, 2006.
• E. Chahine, P. Laborde, Y. Renard. A quasi-optimal convergence result for fracture mechanics with xfem. C.R. Math. Acad. Sci. Paris, 342:527-532, 2006.
• P. Laborde, J. Pommier, Y. Renard, M. Salaün. High order extended finite element method for cracked domains. Int. J. Numer. Meth. Engng., 64:354-381, 2005.
• N. Renon, P. Montmitonnet, P. Laborde. Numerical formulation for solving soil/tool interaction problem involving large deformation. Engineering Computations ( Inter. J. for Computer-Aided Engineering and Software), Vol. 22, No.1 (2005), pp.87-109.
• L. Slimane, A. Bendali, P. Laborde. Mixed formulations for a class of variational inequalities. ESAIM: M2AN, Mathematical Modelling and Numerical Analysis, Vol. 38, No 1 (2004), pp.177- 201.
• L. Slimane, A. Bendali, P. Laborde. Mixed formulations for a class of variational inequalities. C. R. Acad. Sc. Paris, Série I, Vol. 334 (2002), pp.87-92.
• P. Hild, P. Laborde. Quadratic finite element methods for unilateral contact problems. Appl. Numer. Math., Vol. 41, No. 3, 401-421, 2002.
• P. Laborde, F. Petitjean. Computation of form-invariant response functions in elasticity. Quarterly Journal in Mechanics and applied Mathematics, Vol. 53, No. 1 (2000), pp.73-89.
• H. Ribet, P. Laborde, M. Mahé. Numerical modeling of the impact on water of a flexible structure by explicit finite element method - Comparisons with radios numerical results and experiments. Aerospace Science and Technology, No. 2 (1999), pp. 83-91.
• F. Ben Belgacem, P. Hild, P. Laborde. Extension of the mortar finite element method to a variational inequality modeling unilateral contact. Math. Models Methods Appl. Sci. (M3AS), Vol. 9, No. 2, 287-303, 1999.
• F. Ben Belgacem, P. Hild, P. Laborde. The mortar finite element method for contact problems. Math. Comput. Model. (Special issue dedicated to recent advances in contact mechanics) Vol. 28, No. 4-8, 263-271, 1998.
• F. Ben Belgacem, P. Hild, P. Laborde. Approximation of the unilateral contact problem by the mortar finite element method. C. R. Acad. Sci. Paris Sér. I Math., t.324, 123-127, 1997.
• P. Laborde, B. Toson, J.J. Pesqué. On the consistent tangent operator algorithm for thermo-plastic problems. Computer methods Appl. Mech. Eng., Vol 146 (1997), pp.215-230.
• P. Laborde, F. Petitjean. Symétries matérielles et comportements non-linéaires en Elasticité. C. R. Acad. Sc. Paris, Vol. 323, Série I (1996), pp. 1147-1152.
• P. Laborde Numerical solution of free boundary problems in solids mechanics. Int. series of Numer. Math. Vol. 107, Birkhäuser ed. (1992), pp. 339-347.
• P. Laborde, A. Michrafy. Algorithme à rigidité tangente pour des problèmes d’endommagement. C. R. Acad Sc. Paris, Vol. 315, Série I (1992), pp. 485-489.
• P. Laborde, A. Michrafy. On general constitutive equations involving damage. Eur. J. Mech., A/Solids. Vol. 10 (1991), pp. 213-237.
• P. Laborde, Q. S. Nguyen. Etude de l’équation d’évolution des systèmes dissipatifs standards. Math. Modelling Numer. Analysis (M2AN) Vol. 24 (1990), pp. 67-84.
• P. Laborde, A. Michrafy. Etude d’un modèle avec endommagement. C. R. Acad. Sc. Paris, Vol. 310, Série I (1990), pp. 613-616.
• P. Charrier, B. Dacorogna, B. Hanouzet, P. Laborde. An existence theorem for slightly compressible materials in nonlinear elasticity. SIAM J. Math. Analysis. Vol. 19 (1988), pp. 70-85
• P. Laborde. A non monotone differential inclusion. J. Non Linear Analysis. Vol. 11 (1987), pp. 757-776.
• P. Laborde Analysis of the strain-stress relation in plasticity with non associated laws. Int. J. Engng. Sc., Vol. 25 (1987), pp. 655-666.
• P. Laborde. Etude d’un problème d’évolution non monotone. Ann. Fac. Sc. Toulouse. Vol 5 (1983), pp. 1-14.
• P. Laborde. Approximation en visco-plasticité. J. Méca. Théo. Appli. Vol 1 (1982), pp. 419-428.
• P. Laborde. Processus de rafle non convexe. C. R. Acad. Sc. Paris, Vol. 293, Série A (1981), pp. 633-635.
• P. Laborde. Approximation d’un problème en visco-plasticité. . C. R. Acad. Sc. Paris, Vol. 288, Série A (1979), pp. 73-76.
• P. Laborde. On visco-plasticity with hardening. Numer. Funct. Anal. Optimiz. Vol. 1 (1979), pp. 315-339.
• P. Laborde. Problèmes quasi-variationnels en visco-plasticité avec écrouissage. C. R. Acad. Sc. Paris, Vol. 283, Série A (1976), pp. 393-396.

Conference Proceedings 2005-2007

• E. Chahine, P. Laborde, J. Pommier, Y. Renard. Couplage des méthodes xfem et de la base réduite pour la modélisation des fissures interfaciales. Some improvements of xfem for cracked domains. Actes du 8ème colloque national en calcul des structures, Giens, 2007.
• E. Chahine, P. Laborde, J. Pommier, Y. Renard, M. Salaün. Some improvements of xfem for cracked domains. Proceedings of IUTAM Seminar, Discretisation Methods for evolving discontinuities, Lyon, France, 4-7 Sept, 2006.
• H.B. Khenous, P. Laborde, Y. Renard. An energy conserving approximation for elastodynamic contact problems. Proceedings of the III European Conference on Computational Mechanics, Lisbon, Portugal, 5-8 June, 2006.
• E. Chahine, P. Laborde, J. Pommier, Y. Renard, M. Salaun. Study of some optimal xfem type methods. Proceedings of ECCOMAS Thematic Conference on Meshless and Meshfree Methods, Lisbon, Portugal, July 11-14, 2005.
• H.B. Khenous, P. Laborde, Y. Renard. On the discretization of contact problems in elastodynamics. Lecture Note in applied and Computational Mechanics, vol 27, Analysis and simulation of Contact Problems:31-38, 2006.
• P. Laborde, J. Pommier, Y. Renard, M. Salaün. Sur la précision des méthodes xfem en mécanique de la rupture. Actes du 17ème congrès Français de Mécanique, Troyes, 2005.
• P. Laborde, J. Pommier, Y. Renard, M. Salaün. Improvement of the accuracy in xfem methods. Proceedings of the ECCOMAS Thematic Conference on Meshless Methods, Lisboa, 2005.
• P. Laborde, J. Pommier, Y. Renard, M. Salaün. Une méthodes d'éléments finis étendue d'ordre supérieur optimale. Actes du 7ème colloque national en calcul des structures, Giens. Revue européenne de mécanique numérique, vol 15, n°1-2-3:233-244, 2006.
• H. Khenous, P. Laborde, Y. Renard. On the hybrid discretization of contact and friction in elastodynamics. Proceedings of the VIII International Conference on Coputational Plasticity, COMPLAS VIII:541-544, 2005.