A computational library for multiscale modeling of material failure. We present an open-source software framework called PERMIX for multiscale modeling and simulation of fracture in solids. The framework is an object oriented open-source effort written primarily in Fortran 2003 standard with Fortran/C++ interfaces to a number of other libraries such as LAMMPS, ABAQUS, LS-DYNA and GMSH. Fracture on the continuum level is modeled by the extended finite element method (XFEM). Using several novel or state of the art methods, the piece software handles semi-concurrent multiscale methods as well as concurrent multiscale methods for fracture, coupling two continuum domains or atomistic domains to continuum domains, respectively. The efficiency of our open-source software is shown through several simulations including a 3D crack modeling in clay nanocomposites, a semi-concurrent FE-FE coupling, a 3D Arlequin multiscale example and an MD-XFEM coupling for dynamic crack propagation.

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  1. Huang, Junjie; Deng, Fangqian; Liu, Lingfei; Ye, Jianqiao: Adaptive stochastic morphology simulation and mesh generation of high-quality 3D particulate composite microstructures with complex surface texture (2022)
  2. Mikaeili, E.; Claus, S.; Kerfriden, P.: Concurrent multiscale analysis without meshing: microscale representation with CutFEM and micro/macro model blending (2022)
  3. Mukherjee, Shuvajit; Gopalakrishnan, S.; Ganguli, Ranjan: Time domain spectral element-based wave finite element method for periodic structures (2021)
  4. Sarkar, Subrato; Singh, I. V.; Mishra, B. K.: A simplified continuous-discontinuous approach to fracture based on decoupled localizing gradient damage method (2021)
  5. Giannakeas, Ilias N.; Papathanasiou, Theodosios K.; Fallah, Arash S.; Bahai, Hamid: Coupling XFEM and peridynamics for brittle fracture simulation. I: Feasibility and effectiveness (2020)
  6. Giannakeas, Ilias N.; Papathanasiou, Theodosios K.; Fallah, Arash S.; Bahai, Hamid: Coupling XFEM and peridynamics for brittle fracture simulation. II: Adaptive relocation strategy (2020)
  7. Javili, A.; Firooz, S.; McBride, A. T.; Steinmann, P.: The computational framework for continuum-kinematics-inspired peridynamics (2020)
  8. Xu, Rui; Yang, Jie; Yan, Wei; Huang, Qun; Giunta, Gaetano; Belouettar, Salim; Zahrouni, Hamid; Ben Zineb, Tarak; Hu, Heng: Data-driven multiscale finite element method: from concurrence to separation (2020)
  9. Yazdanparast, Reza; Rafiee, Roham: Developing a homogenization approach for estimation of in-plan effective elastic moduli of hexagonal honeycombs (2020)
  10. Bansal, Manik; Singh, I. V.; Mishra, B. K.; Bordas, S. P. A.: A parallel and efficient multi-split XFEM for 3-D analysis of heterogeneous materials (2019)
  11. Bansal, Manik; Singh, I. V.; Patil, R. U.; Claus, Susanne; Bordas, S. P. A.: A simple and robust computational homogenization approach for heterogeneous particulate composites (2019)
  12. Cimrman, Robert; Lukeš, Vladimír; Rohan, Eduard: Multiscale finite element calculations in Python using sfepy (2019)
  13. Javili, Ali; Morasata, Rico; Oterkus, Erkan; Oterkus, Selda: Peridynamics review (2019)
  14. Javili, A.; McBride, A. T.; Steinmann, P.: Continuum-kinematics-inspired peridynamics. Mechanical problems (2019)
  15. Kocaman, E. S.; Chen, B. Y.; Pinho, S. T.: A polymorphic element formulation towards multiscale modelling of composite structures (2019)
  16. Tian, Rong; Wen, Longfei; Wang, Lixiang: Three-dimensional improved XFEM (IXFEM) for static crack problems (2019)
  17. Malekan, Mohammad; Barros, Felício B.: Numerical analysis of a main crack interactions with micro-defects/inhomogeneities using two-scale generalized/extended finite element method (2018)
  18. Nguyen-Xuan, H.; Do, Hien V.; Chau, Khanh N.: An adaptive strategy based on conforming quadtree meshes for kinematic limit analysis (2018)
  19. Atroshchenko, Elena; Hale, Jack S.; Videla, Javier A.; Potapenko, Stanislav; Bordas, Stéphane P. A.: Micro-structured materials: inhomogeneities and imperfect interfaces in plane micropolar elasticity, a boundary element approach (2017)
  20. Budarapu, P. R.; Reinoso, J.; Paggi, M.: Concurrently coupled solid shell-based adaptive multiscale method for fracture (2017)

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