Edit Profile (opens in new tab) Bourdin, Blaise Co-Author Distance Author ID: bourdin.blaise Published as: Bourdin, Blaise; Bourdin, B. External Links: MGP · ORCID · Wikidata · IdRef · theses.fr Videos: carmin.tv Documents Indexed: 22 Publications since 1999, including 1 Book and 2 Additional arXiv Preprints Co-Authors: 23 Co-Authors with 18 Joint Publications 475 Co-Co-Authors all top 5 Co-Authors 4 single-authored 4 Francfort, Gilles A. 4 Marigo, Jean-Jacques 3 Bhattacharya, Kaushik 2 Chambolle, Antonin 2 León Baldelli, Andrés A. 2 Maurini, Corrado 1 Akerson, Andrew 1 Babadjian, Jean-François 1 Baldelli, Andrés Alessandro León 1 Brach, Stella 1 Bucur, Dorin 1 Chukwudozie, Chukwudi 1 Fosdick, Roger L. 1 Henao, D. 1 Khonsari, Michael M. 1 Kohn, Robert Vita 1 Larsen, Christopher J. 1 Marazzato, Frédéric 1 Mesgarnejad, A. 1 Oudet, Edouard 1 Richardson, Casey L. 1 Shabani, Jamal 1 Tanné, Erwan 1 Yoshioka, Keita all top 5 Serials 3 Computer Methods in Applied Mechanics and Engineering 3 Journal of the Mechanics and Physics of Solids 2 Journal of Elasticity 1 International Journal for Numerical Methods in Engineering 1 Numerische Mathematik 1 Computational Mechanics 1 Continuum Mechanics and Thermodynamics 1 SIAM Journal on Scientific Computing 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Interfaces and Free Boundaries 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 International Journal of Fracture all top 5 Fields 18 Mechanics of deformable solids (74-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 3 Numerical analysis (65-XX) 1 Partial differential equations (35-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 19 Publications have been cited 2,135 times in 1,350 Documents Cited by ▼ Year ▼ Numerical experiments in revisited brittle fracture. Zbl 0995.74057 Bourdin, B.; Francfort, G. A.; Marigo, J-J. 587 2000 The variational approach to fracture. Zbl 1176.74018 Bourdin, Blaise; Francfort, Gilles A.; Marigo, Jean-Jacques 559 2008 Filters in topology optimization. Zbl 0971.74062 Bourdin, Blaise 248 2001 Numerical implementation of the variational formulation for quasi-static brittle fracture. Zbl 1130.74040 Bourdin, Blaise 156 2007 Design-dependent loads in topology optimization. Zbl 1066.49029 Bourdin, Blaise; Chambolle, Antonin 137 2003 A time-discrete model for dynamic fracture based on crack regularization. Zbl 1283.74055 Bourdin, Blaise; Larsen, Christopher J.; Richardson, Casey L. 103 2011 A variational phase-field model for hydraulic fracturing in porous media. Zbl 1440.74121 Chukwudozie, Chukwudi; Bourdin, Blaise; Yoshioka, Keita 64 2019 Validation simulations for the variational approach to fracture. Zbl 1423.74960 Mesgarnejad, A.; Bourdin, B.; Khonsari, M. M. 55 2015 Implementation of an adaptive finite-element approximation of the Mumford-Shah functional. Zbl 0961.65062 Bourdin, Blaise; Chambolle, Antonin 45 2000 Image segmentation with a finite element method. Zbl 0947.65075 Bourdin, Blaise 37 1999 Optimal partitions for eigenvalues. Zbl 1207.49050 Bourdin, Blaise; Bucur, Dorin; Oudet, Édouard 31 2009 The variational approach to fracture. With a foreword by Roger Fosdick. Reprinted from Journal of Elasticity 91, No. 1-3 (2008). Zbl 1425.74004 Bourdin, Blaise; Francfort, Gilles A.; Marigo, Jean-Jacques 31 2008 A variational model for fracture and debonding of thin films under in-plane loadings. Zbl 1328.74059 León Baldelli, A. A.; Babadjian, J.-F.; Bourdin, B.; Henao, D.; Maurini, C. 22 2014 The variational formulation of brittle fracture: numerical implementation and extensions. Zbl 1209.74036 Bourdin, B. 20 2007 Fracture and debonding of a thin film on a stiff substrate: analytical and numerical solutions of a one-dimensional variational model. Zbl 1343.74032 Baldelli, Andrés Alessandro León; Bourdin, Blaise; Marigo, Jean-Jacques; Maurini, Corrado 11 2013 Phase-field study of crack nucleation and propagation in elastic-perfectly plastic bodies. Zbl 1441.74201 Brach, Stella; Tanné, Erwan; Bourdin, Blaise; Bhattacharya, Kaushik 9 2019 Optimization of structural topology in the high-porosity regime. Zbl 1149.74045 Bourdin, Blaise; Kohn, Robert V. 9 2008 Fracture. Zbl 1247.74004 Bourdin, B.; Francfort, G. A. 7 2011 On the asymptotic derivation of Winkler-type energies from 3D elasticity. Zbl 1330.35439 León Baldelli, Andrés A.; Bourdin, Blaise 4 2015 A variational phase-field model for hydraulic fracturing in porous media. Zbl 1440.74121 Chukwudozie, Chukwudi; Bourdin, Blaise; Yoshioka, Keita 64 2019 Phase-field study of crack nucleation and propagation in elastic-perfectly plastic bodies. Zbl 1441.74201 Brach, Stella; Tanné, Erwan; Bourdin, Blaise; Bhattacharya, Kaushik 9 2019 Validation simulations for the variational approach to fracture. Zbl 1423.74960 Mesgarnejad, A.; Bourdin, B.; Khonsari, M. M. 55 2015 On the asymptotic derivation of Winkler-type energies from 3D elasticity. Zbl 1330.35439 León Baldelli, Andrés A.; Bourdin, Blaise 4 2015 A variational model for fracture and debonding of thin films under in-plane loadings. Zbl 1328.74059 León Baldelli, A. A.; Babadjian, J.-F.; Bourdin, B.; Henao, D.; Maurini, C. 22 2014 Fracture and debonding of a thin film on a stiff substrate: analytical and numerical solutions of a one-dimensional variational model. Zbl 1343.74032 Baldelli, Andrés Alessandro León; Bourdin, Blaise; Marigo, Jean-Jacques; Maurini, Corrado 11 2013 A time-discrete model for dynamic fracture based on crack regularization. Zbl 1283.74055 Bourdin, Blaise; Larsen, Christopher J.; Richardson, Casey L. 103 2011 Fracture. Zbl 1247.74004 Bourdin, B.; Francfort, G. A. 7 2011 Optimal partitions for eigenvalues. Zbl 1207.49050 Bourdin, Blaise; Bucur, Dorin; Oudet, Édouard 31 2009 The variational approach to fracture. Zbl 1176.74018 Bourdin, Blaise; Francfort, Gilles A.; Marigo, Jean-Jacques 559 2008 The variational approach to fracture. With a foreword by Roger Fosdick. Reprinted from Journal of Elasticity 91, No. 1-3 (2008). Zbl 1425.74004 Bourdin, Blaise; Francfort, Gilles A.; Marigo, Jean-Jacques 31 2008 Optimization of structural topology in the high-porosity regime. Zbl 1149.74045 Bourdin, Blaise; Kohn, Robert V. 9 2008 Numerical implementation of the variational formulation for quasi-static brittle fracture. Zbl 1130.74040 Bourdin, Blaise 156 2007 The variational formulation of brittle fracture: numerical implementation and extensions. Zbl 1209.74036 Bourdin, B. 20 2007 Design-dependent loads in topology optimization. Zbl 1066.49029 Bourdin, Blaise; Chambolle, Antonin 137 2003 Filters in topology optimization. Zbl 0971.74062 Bourdin, Blaise 248 2001 Numerical experiments in revisited brittle fracture. Zbl 0995.74057 Bourdin, B.; Francfort, G. A.; Marigo, J-J. 587 2000 Implementation of an adaptive finite-element approximation of the Mumford-Shah functional. Zbl 0961.65062 Bourdin, Blaise; Chambolle, Antonin 45 2000 Image segmentation with a finite element method. Zbl 0947.65075 Bourdin, Blaise 37 1999 all cited Publications top 5 cited Publications all top 5 Cited by 2,080 Authors 43 Wick, Thomas 33 Sigmund, Ole 26 de Lorenzis, Laura 23 Marigo, Jean-Jacques 18 Dal Maso, Gianni 17 Aldakheel, Fadi 17 Paulino, Glaucio H. 16 Natarajan, Sundararajan 16 Rabczuk, Timon 16 Waisman, Haim 15 Miehe, Christian 14 Garcke, Harald 14 Lazarov, Boyan Stefanov 14 Toader, Rodica 14 Wheeler, Mary Fanett 13 Ambati, Marreddy 13 Bourdin, Blaise 13 Wu, Jianying 12 de Borst, René 12 Perotto, Simona 12 Sun, WaiChing 12 Weinberg, Kerstin 12 Yvonnet, Julien 11 Conti, Sergio 11 Francfort, Gilles A. 11 Kang, Zhan 11 Lazzaroni, Giuliano 11 Micheletti, Stefano 11 Negri, Matteo 11 Noii, Nima 11 Placidi, Luca 10 Almi, Stefano 10 Bui, Tinh Quoc 10 Chambolle, Antonin 10 Iurlano, Flaviana 10 Wollner, Winnifried 9 Alessi, Roberto 9 Babadjian, Jean-François 9 Dolbow, John E. 9 Henao, Duvan A. 9 Kaliske, Michael 9 Maurini, Corrado 9 Mosler, Jörn 9 Reinoso, Jose 9 Roubíček, Tomáš 9 Shen, Yongxing 9 Terada, Kenjiro 9 Wriggers, Peter 8 Barchiesi, Emilio 8 Braides, Andrea 8 Focardi, Matteo 8 Guo, Xu 8 Lee, Sanghyun 8 Martínez Pañeda, Emilio 8 Muller, Ralf 8 Schevenels, Mattias 8 Yu, Tiantang 7 Aage, Niels 7 Crismale, Vito 7 Friedrich, Manuel 7 Gerasimov, Tymofiy 7 Hirshikesh, H. 7 Junker, Philipp 7 Khandelwal, Kapil 7 Kuhn, Charlotte 7 Linder, Christian 7 Lipton, Robert P. 7 Nguyen, Vinh Phu 7 Nishiwaki, Shinji 7 Paggi, Marco 7 Rodríguez-Ferran, Antonio 7 Tortorelli, Daniel A. 7 Zhang, Guodong 7 Zhu, Shengfeng 6 Allaire, Grégoire 6 Amir, Oded 6 Bilgen, Carola 6 Borden, Michael J. 6 Bruggi, Matteo 6 Chen, Lin 6 Dapogny, Charles 6 Freddi, Francesco 6 Han, Jike 6 Helffer, Bernard 6 Hughes, Thomas J. R. 6 Landis, Chad M. 6 Li, Weidong 6 Lu, Guangda 6 Luo, Zhen 6 Mikelić, Andro 6 Moriguchi, Shuji 6 Ortiz, Michael 6 Rumpf, Martin 6 Schneider, Matti 6 Silva, Emílio Carlos Nelli 6 Thomas, Marita 6 Ulloa, Jacinto 6 Xia, Liang 6 Yin, Bo 6 Yoshioka, Keita ...and 1,980 more Authors all top 5 Cited in 152 Serials 454 Computer Methods in Applied Mechanics and Engineering 151 International Journal for Numerical Methods in Engineering 87 Computational Mechanics 35 Structural and Multidisciplinary Optimization 31 Journal of the Mechanics and Physics of Solids 26 European Journal of Mechanics. A. Solids 22 Journal of Elasticity 22 Continuum Mechanics and Thermodynamics 20 Journal of Computational Physics 20 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 18 Archive for Rational Mechanics and Analysis 13 Computers & Mathematics with Applications 13 Calculus of Variations and Partial Differential Equations 12 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 11 Meccanica 11 Mathematics and Mechanics of Solids 11 GAMM-Mitteilungen 10 Acta Mechanica 10 Engineering Analysis with Boundary Elements 9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 9 Applied Mathematical Modelling 9 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 International Journal of Engineering Science 8 SIAM Journal on Mathematical Analysis 8 Optimization and Engineering 7 Mathematical Methods in the Applied Sciences 7 SIAM Journal on Control and Optimization 7 SIAM Journal on Scientific Computing 7 Computational Geosciences 7 Archives of Computational Methods in Engineering 6 Applied Mathematics and Optimization 6 Journal of Computational and Applied Mathematics 6 Journal of Nonlinear Science 6 NoDEA. Nonlinear Differential Equations and Applications 6 Acta Mechanica Sinica 6 Advances in Calculus of Variations 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Applied Mathematics and Computation 4 Journal of Scientific Computing 4 Interfaces and Free Boundaries 4 Communications in Nonlinear Science and Numerical Simulation 4 International Journal of Computational Methods 4 International Journal of Fracture 4 Engineering Optimization 4 Discrete and Continuous Dynamical Systems. Series S 4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 4 Mathematics in Engineering 3 International Journal of Solids and Structures 3 Mathematics and Computers in Simulation 3 Quarterly of Applied Mathematics 3 Physica D 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Japan Journal of Industrial and Applied Mathematics 3 The Journal of Geometric Analysis 3 Journal of Mathematical Imaging and Vision 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Multiscale Modeling & Simulation 3 PMM, Journal of Applied Mathematics and Mechanics 3 Inverse Problems and Imaging 3 SIAM Journal on Imaging Sciences 3 AMM. Applied Mathematics and Mechanics. (English Edition) 3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Archives of Mechanics 2 International Journal for Numerical Methods in Fluids 2 Journal of Applied Mathematics and Mechanics 2 Mathematics of Computation 2 Journal of Differential Equations 2 Journal of Optimization Theory and Applications 2 Kybernetika 2 Numerical Functional Analysis and Optimization 2 Numerische Mathematik 2 Computer Aided Geometric Design 2 Numerical Methods for Partial Differential Equations 2 SIAM Journal on Applied Mathematics 2 Communications in Numerical Methods in Engineering 2 Journal of Convex Analysis 2 Russian Journal of Numerical Analysis and Mathematical Modelling 2 Advances in Computational Mathematics 2 Oberwolfach Reports 2 Communications in Computational Physics 2 International Journal for Computational Methods in Engineering Science and Mechanics 2 Analysis & PDE 2 GEM - International Journal on Geomathematics 2 East Asian Journal on Applied Mathematics 2 Mathematics and Mechanics of Complex Systems 2 Electronic Research Archive 1 Communications on Pure and Applied Mathematics 1 International Journal of Control 1 International Journal of Heat and Mass Transfer 1 Inverse Problems 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 Journal of Geometry and Physics 1 BIT ...and 52 more Serials all top 5 Cited in 36 Fields 1,207 Mechanics of deformable solids (74-XX) 302 Numerical analysis (65-XX) 236 Calculus of variations and optimal control; optimization (49-XX) 172 Partial differential equations (35-XX) 62 Fluid mechanics (76-XX) 40 Operations research, mathematical programming (90-XX) 26 Computer science (68-XX) 17 Real functions (26-XX) 17 Information and communication theory, circuits (94-XX) 15 Statistical mechanics, structure of matter (82-XX) 12 Geophysics (86-XX) 11 Classical thermodynamics, heat transfer (80-XX) 9 Operator theory (47-XX) 8 Mechanics of particles and systems (70-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Ordinary differential equations (34-XX) 6 Optics, electromagnetic theory (78-XX) 6 Systems theory; control (93-XX) 5 Statistics (62-XX) 4 Combinatorics (05-XX) 4 Measure and integration (28-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Approximations and expansions (41-XX) 4 Differential geometry (53-XX) 4 Biology and other natural sciences (92-XX) 3 Probability theory and stochastic processes (60-XX) 2 General and overarching topics; collections (00-XX) 2 Integral equations (45-XX) 2 Functional analysis (46-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Algebraic geometry (14-XX) 1 Special functions (33-XX) 1 Quantum theory (81-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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