Reference : An extended finite element library
Scientific journals : Article
Engineering, computing & technology : Computer science
Computational Sciences
An extended finite element library
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Nguyen, P. V. [LTDS-ENISE, CNRS-UMR 5513, Saint Etienne, France, Department of Engineering Science Mechanics of Constructions, EMMC, Hochiminh University of Technology, 268 Ly Thuong Kiet, Viet Nam]
Dunant, C. [Ecole Polytechnique Fédérale de Lausanne, Laboratory of Construction Materials, EPFL-STI-IMX-LMC, Lausanne MXG 241 CH-1015, Switzerland]
Guidoum, A. [Ecole Polytechnique Fédérale de Lausanne, Laboratory of Construction Materials, EPFL-STI-IMX-LMC, Lausanne MXG 241 CH-1015, Switzerland]
Nguyen-Dang, H. [Nguyen-Dang Hung Institut de Mécanique et Génie Civil, Batiment B52/3 Chemin Chevreuils 1, B-4000 Liège 1, Belgium]
International Journal for Numerical Methods in Engineering
Yes (verified by ORBilu)
[en] C++ ; Crack propagation ; Dense fissuration ; Extended finite element method ; Fracture mechanics ; Industrial problems ; Object-oriented programming ; Open source ; Partition of unity enrichment ; Integral equations ; Mesh generation ; Topology ; Extended finite element ; Finite element method ; Finite element method ; Integral equations ; Mesh generation ; Topology
[en] 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; non-linear 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. Copyright © 2007 John Wiley & Sons, Ltd.
Northwestern University, Evanston, Illinois
Federal Aviation Administration, USA
Researchers ; Professionals ; Students ; Others

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