XFEM swMATH ID: 1026 Software Authors: Bordas, Stéphane Author Profile; Nguyen, Phu Vinh; Dunant, Cyrille; Guidoum, Amor; Nguyen-Dang, Hung Description: An extended finite element library. This paper presents and exercises a general structure for an object-oriented-enriched finite element code. The programming environment provides a robust tool for extended finite element (XFEM) computations and a modular and extensible system. The programme structure has been designed to meet all natural requirements for modularity, extensibility, and robustness. To facilitate mesh – geometry interactions with hundreds of enrichment items, a mesh generator and mesh database are included. The salient features of the programme are: flexibility in the integration schemes (subtriangles, subquadrilaterals, independent near-tip, and discontinuous quadrature rules); domain integral methods for homogeneous and bi-material interface cracks arbitrarily oriented with respect to the mesh; geometry is described and updated by level sets, vector level sets or a standard method; standard and enriched approximations are independent; enrichment detection schemes: topological, geometrical, narrow-band, etc.; multi-material problem with an arbitrary number of interfaces and slip-interfaces; nonlinear material models such as J2 plasticity with linear, isotropic and kinematic hardening. To illustrate the possible applications of our paradigm, we present 2D linear elastic fracture mechanics for hundreds of cracks with local near-tip refinement, and crack propagation in two dimensions as well as complex 3D industrial problems. Homepage: http://www.xfem.rwth-aachen.de/index.php Keywords: object-oriented programming; C++; partition of unity enrichment; extended finite element method; fracture mechanics; dense fissuration; crack propagation; industrial problems; open source Related Software: Matlab; Gmsh; ABAQUS; Mfree2D; CutFEM; Getfem++; FEAPpv; PUMA; ParaView; ISOGAT; DECUHR; PERMIX; FEniCS; BEAN; ANSYS; PARDISO; CGAL; DOLFIN; p1afem; LS-DYNA Cited in: 389 Publications Further Publications: http://www.xfem.rwth-aachen.de/Project/Publications/PRJ_Publications.php Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year An extended finite element library. Zbl 1194.74367Bordas, Stéphane; Nguyen, Phu Vinh; Dunant, Cyrille; Guidoum, Amor; Nguyen-Dang, Hung 2007 all top 5 Cited by 649 Authors 40 Bordas, Stéphane Pierre Alain 23 Nguyen-Xuan, Hung 23 Rabczuk, Timon 20 Liu, Gui-Rong 18 Belytschko, Ted Bohdan 16 Nguyen-Thoi, Trung 15 Natarajan, Sundararajan 13 Renard, Yves 11 Fries, Thomas-Peter 11 Sukumar, Natarajan 9 Duarte, Carlos Armando 9 Fuenmayor, Francisco Javier 8 Chahine, Elie 8 Laborde, Patrick 7 Kerfriden, Pierre 7 Moës, Nicolas 7 Zheng, Hong 6 Babuška, Ivo 6 Banerjee, Uday 6 Bui, Tinh Quoc 6 Chessa, Jack 6 Duflot, Marc 6 González-Estrada, Octavio A. 6 Löhnert, Stefan 6 Ródenas, Juan José 5 Agathos, Konstantinos 5 Chatzi, Eleni 5 Chen, Lei 5 Dolbow, John E. 5 Gracie, Robert 5 Lew, Adrian J. 5 Nguyen-Thanh, Nhon 5 Salaun, Michel 5 Tarancón, José E. 5 Tian, Rong 5 Waisman, Haim 5 Wriggers, Peter 5 Yang, Yongtao 5 Zhuang, Xiaoying 4 Bazilevs, Yuri 4 Benvenuti, Elena 4 Giner, Eugenio 4 Gravouil, Anthony 4 Gupta, Varun 4 Hu, Dean 4 Khoei, Amir R. 4 Mousavi, S. E. 4 Pommier, Julien 4 Shen, Yongxing 4 Ventura, Giulio 4 Wen, Longfei 4 Yu, Tiantang 4 Zi, Goangseup 3 Augarde, Charles Edward 3 Béchet, Eric 3 Geubelle, Philippe H. 3 Gordeliy, Elizaveta 3 Hu, Ping 3 Larson, Mats G. 3 Logg, Anders 3 Ma, Guowei 3 Mahapatra, Deshabrata Roy 3 Maute, Kurt 3 Nguyen, Vinh Phu 3 Ooi, Ean Tat 3 Peirce, Anthony P. 3 Sanchez-Rivadeneira, A. G. 3 Sluys, Lambertus Johannes 3 Song, Chongmin 3 Vu Do, Huy Cuong 3 Wall, Wolfgang A. 3 Wan, Detao 3 Xu, Dongdong 3 Yang, Gang 3 Zamani, Arash 3 Zeng, Kaiyang 3 Zeng, Wei 3 Zhang, Chuanzeng 3 Zhang, Qinghui 2 Alizada, Alaskar 2 Anahid, Masoud 2 Anitescu, Cosmin 2 Aragón, Alejandro M. 2 Askes, Harm 2 Baietto, Marie-Christine 2 Bao, Yi 2 Barros, Felício Bruzzi 2 Beex, Lars A. A. 2 Benson, David J. 2 Bernauer, Martin K. 2 Birk, Carolin 2 Boufflet, Jean-Paul 2 Byfut, Andreas 2 Cazes, Fabien 2 Cen, Song 2 Chamoin, Ludovic 2 Chen, Haodong 2 Cheng, Kwok Wah 2 Cheng, Zhenxing 2 Chevaugeon, Nicolas ...and 549 more Authors all top 5 Cited in 51 Serials 117 International Journal for Numerical Methods in Engineering 96 Computer Methods in Applied Mechanics and Engineering 41 Computational Mechanics 17 Engineering Analysis with Boundary Elements 13 Journal of Computational Physics 13 Applied Mathematical Modelling 8 European Journal of Mechanics. A. Solids 7 International Journal of Computational Methods 6 SIAM Journal on Scientific Computing 4 Acta Mechanica 4 Journal of Computational and Applied Mathematics 4 International Journal for Numerical Methods in Biomedical Engineering 3 International Journal of Solids and Structures 3 Applied Numerical Mathematics 3 International Journal of Numerical Methods for Heat & Fluid Flow 3 Archives of Computational Methods in Engineering 2 Computers & Mathematics with Applications 2 International Journal for Numerical Methods in Fluids 2 Applied Mathematics and Computation 2 Mathematics and Computers in Simulation 2 Meccanica 2 Journal of Scientific Computing 2 Communications in Numerical Methods in Engineering 2 Mathematical Problems in Engineering 2 Algorithms 1 Journal of the Mechanics and Physics of Solids 1 Bulletin of Mathematical Biology 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 COMPEL 1 Numerical Algorithms 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Abstract and Applied Analysis 1 Computational Geosciences 1 Engineering Computations 1 CMES. Computer Modeling in Engineering & Sciences 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Central European Journal of Mathematics 1 International Journal of Numerical Analysis and Modeling 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Computational & Mathematical Methods in Medicine 1 Revue Européenne de Mécanique Numérique 1 Mathematical Modelling of Natural Phenomena 1 Numerical Mathematics: Theory, Methods and Applications 1 Advances in Mathematical Physics 1 Advances in Applied Mathematics and Mechanics 1 Science China. Mathematics 1 Science China. Technological Sciences 1 ISRN Applied Mathematics all top 5 Cited in 14 Fields 304 Mechanics of deformable solids (74-XX) 193 Numerical analysis (65-XX) 42 Fluid mechanics (76-XX) 24 Partial differential equations (35-XX) 23 Classical thermodynamics, heat transfer (80-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Optics, electromagnetic theory (78-XX) 4 Biology and other natural sciences (92-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Approximations and expansions (41-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Geophysics (86-XX) Citations by Year