When referencing Akantu in a publication, please cite at least one of the following papers:

  • [DOI] N. Richart and J. F. Molinari, “Implementation of a parallel finite-element library: test case on a non-local continuum damage model,” Finite elements in analysis and design, vol. 100, p. 41–46, 2015.
    title = "Implementation of a parallel finite-element library: Test case on a non-local continuum damage model",
    journal = "Finite Elements in Analysis and Design",
    volume = "100",
    pages = "41--46",
    year = "2015",
    issn = "0168-874X",
    doi = "https://doi.org/10.1016/j.finel.2015.02.003",
    url = "http://www.sciencedirect.com/science/article/pii/S0168874X15000153",
    author = "N. Richart and J.F. Molinari",
    keywords = "Finite element method, Parallel computing, Continuum damage, Non-local approach"
  • [DOI] V. M., R. N., and M. J.‐F., “3d dynamic fragmentation with parallel dynamic insertion of cohesive elements,” International journal for numerical methods in engineering, vol. 109, iss. 12, p. 1655–1678.
    author = {Vocialta M. and Richart N. and Molinari J.‐F.},
    title = {3D dynamic fragmentation with parallel dynamic insertion of cohesive elements},
    journal = {International Journal for Numerical Methods in Engineering},
    volume = {109},
    number = {12},
    pages = {1655--1678},
    keywords = {dynamic fragmentation, cohesive elements, high performance computing, numerical instability},
    doi = {10.1002/nme.5339},
    url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/nme.5339},
    eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/nme.5339},
    abstract = {Summary Dynamic fragmentation is a rapid and catastrophic failure of a material. During this process, the nucleation, propagation, branching, and coalescence of cracks results in the formation of fragments. The numerical modeling of this phenomenon is challenging because it requires high‐performance computational capabilities. For this purpose, the finite‐element method with dynamic insertion of cohesive elements was chosen. This paper describes the parallel implementation of its fundamental algorithms in the C++ open‐source library Akantu. Moreover, a numerical instability that can cause the loss of energy conservation and possible solutions to it are illustrated. Finally, the method is applied to the dynamic fragmentation of a hollow sphere subjected to uniform radial expansion. Copyright © 2016 John Wiley \& Sons, Ltd.}