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.

References in zbMATH (referenced in 316 articles , 1 standard article )

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  1. Deng, Quanling; Calo, Victor: Higher order stable generalized finite element method for the elliptic eigenvalue and source problems with an interface in 1D (2020)
  2. Amiri, Erfan A.; Craig, James R.; Hirmand, M. Reza: A trust region approach for numerical modeling of non-isothermal phase change (2019)
  3. Chen, Haodong; Wang, Qingsong; Zeng, W.; Liu, G. R.; Sun, Jinhua; He, Linghui; Bui, Tinh Quoc: Dynamic brittle crack propagation modeling using singular edge-based smoothed finite element method with local mesh rezoning (2019)
  4. Chen, Juan; Li, Chong-Jun: A 3D triangular prism spline element using B-net method (2019)
  5. Chen, Jun-Wei; Zhou, Xiao-Ping: The enhanced extended finite element method for the propagation of complex branched cracks (2019)
  6. Davari, M.; Rossi, R.; Dadvand, P.; López, Inigo; Wüchner, R.: A cut finite element method for the solution of the full-potential equation with an embedded wake (2019)
  7. Feng, S. Z.; Bordas, S. P. A.; Han, X.; Wang, G.; Li, Z. X.: A gradient weighted extended finite element method (GW-XFEM) for fracture mechanics (2019)
  8. Li, Min; Chaouki, Hicham; Robert, Jean-Loup; Ziegler, Donald; Fafard, Mario: Numerical simulation of Stefan problem coupled with mass transport in a binary system through XFEM/level set method (2019)
  9. Yan, Z.; Feng, W. J.; Zhang, Ch.; Liu, J. X.: The extended finite element method with novel crack-tip enrichment functions for dynamic fracture analysis of interfacial cracks in piezoelectric-piezomagnetic bi-layered structures (2019)
  10. Zhou, Y. C.; Gupta, Varun: Interface solutions of partial differential equations with point singularity (2019)
  11. Agathos, Konstantinos; Chatzi, Eleni; Bordas, Stéphane P. A.: Multiple crack detection in 3D using a stable XFEM and global optimization (2018)
  12. Beese, Steffen; Loehnert, Stefan; Wriggers, Peter: 3D ductile crack propagation within a polycrystalline microstructure using XFEM (2018)
  13. Bhowmick, Sauradeep; Liu, Gui Rong: On singular ES-FEM for fracture analysis of solids with singular stress fields of arbitrary order (2018)
  14. Chai, Yingbin; Gong, Zhixiong; Li, Wei; Li, Tianyun; Zhang, Qifan; Zou, Zhihong; Sun, Yangbin: Application of smoothed finite element method to two-dimensional exterior problems of acoustic radiation (2018)
  15. Chatzieleftheriou, Stavros; Lagaros, Nikos D.: Smoothed reduction of fracture mechanics solutions to 1D cracked models (2018)
  16. Claus, Susanne; Bigot, Samuel; Kerfriden, Pierre: CutFEM method for Stefan-Signorini problems with application in pulsed laser ablation (2018)
  17. Ghoneim, Adam Yehudi: The meshfree interface finite element method for numerical simulation of dendritic solidification with fluid flow (2018)
  18. Pei, Chaoxu; Sussman, Mark; Hussaini, M. Yousuff: A space-time discontinuous Galerkin spectral element method for the Stefan problem (2018)
  19. Yang, Yongtao; Tang, Xuhai; Zheng, Hong; Liu, Quansheng: Four-node quadrilateral element with continuous nodal stress for geometrical nonlinear analysis (2018)
  20. Zeng, W.; Liu, G. R.: Smoothed finite element methods (S-FEM): an overview and recent developments (2018)

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Further publications can be found at: http://www.xfem.rwth-aachen.de/Project/Publications/PRJ_Publications.php