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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: Gmsh; Matlab; Mfree2D; ABAQUS; CutFEM; Getfem++; FEAPpv; ParaView; ISOGAT; DECUHR; PUMA; PERMIX; FEniCS; BEAN; ANSYS; PARDISO; CGAL; DOLFIN; p1afem; LS-DYNA
Referenced in: 389 Publications
Further Publications: http://www.xfem.rwth-aachen.de/Project/Publications/PRJ_Publications.php
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Referenced by 645 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 Chatzi, Eleni
6 Chessa, Jack
6 Duflot, Marc
6 González-Estrada, Octavio A.
6 Löhnert, Stefan
6 Ródenas, Juan José
5 Agathos, Konstantinos
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 545 more Authors
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Referenced 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

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