Short Biography
Associate Professor, Department of Mathematics, Louisiana State University, 2008-current.
Assistant Professor, Department of Mathematics, Louisiana State University, 2002-2008.
Post-Doc, Courant Institute of Mathematical Science, New York University, 2000-2002.
Post-Doc, Department of Mechanical Engineering, California Institute of Technology, 2000.
Post-Doc, Department of Mathematics, Danish Technical University, 1999-2000.
Ph.D. Université Paris-Nord (France), 1998.
Full resume [PDF]
Publications and Preprints
B. Bourdin, G.A. Francfort and J.-J. Marigo, The Variational Approach to Fracture, Springer, 2008. [ISBN-13: 978-1402063947]
B. Bourdin, G.A. Francfort and J.-J. Marigo, The Variational Approach to Fracture, J. Elasticity, 91 (1-3), pp. 5-148, 2008. [DOI: 10.1007/s10569-007-9107-3]
B. Bourdin and R.V. Kohn, Optimization of Structural Topology in the High-Porosity Regime, J. Mech. Phys. Solids 56 (3) pp. 1043-1064 [Preprint] [DOI: 10.1016/j.jmps.2007.06.002]
B. Bourdin, Numerical implementation of the variational formulation of brittle fracture, Interfaces Free Bound. 9 (2007) pp. 411-430. [Preprint]
B. Bourdin, The variational formulation of brittle fracture: numerical implementation and extensions, in IUTAM Symposium on Discretization methods for evolving discontinuities (T. Belytschko, A. Combescure, and R. de Borst eds.), Springer, 2007, pp. 381-393 [Preprint]
B. Bourdin and A. Chambolle, The Phase field method in optimal design, IUTAM Symposium on Topological Design Optimization of Structures, Machines and Material (M.P. Bendsøe, N. Olhoff, and O. Sigmund eds.), Solid Mechanics and its Applications, Springer, June 2006, pp. 207-216. [Preprint]
J-H. Kimn and B. Bourdin, Numerical implementation of overlapping balancing domain decomposition methods on unstructured meshes, Domain Decomposition Methods in Science and Engineering XVI (Olof B. Widlund and David E. Keyes, eds.), Lecture Notes in Computational Science and Engineering, vol. 55, Springer-Verlag, 2006, pp. 309-315. [Preprint]
B. Bourdin and A. Chambolle, Design-dependent loads in topology optimization, ESAIM Control, Optimization and Calculus of Variations, 9 (2003) pp. 19-48. [Preprint] [DOI: 10.1051/cocv:2002070]
B. Bourdin and R.V. Kohn, Extremal Light-Weight Microstructures, Proc. 15th ASCE Engineering Mechanics Conference, June 2-5 2002, Columbia University , New York, NY. [local PDF]
B. Bourdin, Filters in topology optimization, Int. J. Numer. Meth. Engng. 50 (2001) no 9, 2143-2158. [Preprint] [DOI: 10.1002/nme.116]
B. Bourdin, G.A. Francfort and J.-J. Marigo, Numerical Experiments in Revisited Brittle Fracture, J. Mech. Phys. Solids, 48 (2000), no 4, 797-826. [Preprint] [DOI: 10.1016/S0022-5096(99)00028-9]
B. Bourdin and A. Chambolle, Implementation of an Adaptive Finite Elements Approximation of the Mumford-Shah Functional, Num. Mat. 85 (2000), no 4, 609-646. [Preprint] [DOI: 10.1007/s002110000099]
B. Bourdin, Image segmentation with a finite elements method, M2AN Math. Model. Numer. Ana. 33 (1999), no. 2, 229-244. [Preprint] [DOI: 10.1051/m2an:1999114]
B. Bourdin, Une méthode variationnelle en mécanique de la rupture, théorie et applications numériques (A Variational Method for Brittle Fracture, Theory and Numerical Implementation), Ph.D. thesis, Université Paris Nord, Institut Galilée, France, 1998. [PDF]
Funding
NSF, Office of Cyberinitiative (PI)
Medium Resource Allocation: Numerical simulation of
brittle fracture with the variational approach.
TG-DMS060010N, renewed 12-2007.
NSF, Division of Mathematical Sciences, Applied Mathematics program: A Free Discontinuity Approach to Brittle Fracture Mechanics: Analysis and Numerical Implementation. DMS-0605320, awarded 05-2006.
NSF, Office of Cyberinitiative (PI) Medium Resource Allocation: Crack Propagation in Brittle Media under Thermal Stresses. TG-DMS060010N, awarded 03-2006.
NSF, Office of Cyberinitiative (PI) Development Allocation: Crack Propagation in Brittle Media under Thermal Stresses: Scalability study. TG-DMS-060007T, awarded 12-2005.
LA Board of Regents Enhancement Program (Co-PI). Enhancement of Material Sciences in the LSU Mathematics Department. Awarded 05-2005.
NSF, Integrated Graduate Education, Research and Training (Co-PI). IGERT on Multi-Scale Computational Fluid Dynamics. DGE-0504507, awarded 07-2005.
LSU Council on Research, Faculty Research Grant (PI). Numerical Simulation and Visualization of Three-Dimensional Free-Discontinuity Problems. Awarded 08-2004.
LA Board of Regents, Research and Competitiveness Program (PI). Phase field method in Optimal design. Awarded 05-2003.
LSU Council on Research, Summer Stipend Program (PI). Awarded 07-2003.
NSF, Division of Mathematical Sciences, Applied Mathematics program: A Free Discontinuity Approach to Brittle Fracture Mechanics: Analysis and Numerical Implementation. DMS-0605320, awarded 05-2006.
NSF, Office of Cyberinitiative (PI) Medium Resource Allocation: Crack Propagation in Brittle Media under Thermal Stresses. TG-DMS060010N, awarded 03-2006.
NSF, Office of Cyberinitiative (PI) Development Allocation: Crack Propagation in Brittle Media under Thermal Stresses: Scalability study. TG-DMS-060007T, awarded 12-2005.
LA Board of Regents Enhancement Program (Co-PI). Enhancement of Material Sciences in the LSU Mathematics Department. Awarded 05-2005.
NSF, Integrated Graduate Education, Research and Training (Co-PI). IGERT on Multi-Scale Computational Fluid Dynamics. DGE-0504507, awarded 07-2005.
LSU Council on Research, Faculty Research Grant (PI). Numerical Simulation and Visualization of Three-Dimensional Free-Discontinuity Problems. Awarded 08-2004.
LA Board of Regents, Research and Competitiveness Program (PI). Phase field method in Optimal design. Awarded 05-2003.
LSU Council on Research, Summer Stipend Program (PI). Awarded 07-2003.