An evaluation of the accuracy of discontinuous finite elements in explicit dynamic calculations

Joris J.C. Remmers, Rene de Borst, Alan Needleman

    Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review

    1 Citation (Scopus)

    Abstract

    The use of partition of unity based discontinuous finite element formulations for the simulation of crack propagation with implicit simulations is now well established. However, in explicit simulations the accuracy is still a point of concern. Some outstanding issues will be addressed in this paper.
    Original languageEnglish
    Title of host publicationIUTAM Symposium on Discretization Methods for Evolving Discontinuities
    EditorsA. Combescure , R. de Borst, T. Belytschko
    Place of PublicationDordrecht
    PublisherSpringer
    Pages303-322
    Number of pages20
    ISBN (Electronic)978-1-4020-6530-9
    ISBN (Print)978-1-4020-6529-3
    DOIs
    Publication statusPublished - 2007

    Publication series

    NameIUTAM Bookseries
    Volume5

    Keywords

    • explicit time integration
    • fast crack growth
    • partition of unity method

    Cite this

    Remmers, J. J. C., de Borst, R., & Needleman, A. (2007). An evaluation of the accuracy of discontinuous finite elements in explicit dynamic calculations. In A. Combescure , R. de Borst, & T. Belytschko (Eds.), IUTAM Symposium on Discretization Methods for Evolving Discontinuities (pp. 303-322). (IUTAM Bookseries; Vol. 5). Dordrecht: Springer. https://doi.org/10.1007/978-1-4020-6530-9_18
    Remmers, Joris J.C. ; de Borst, Rene ; Needleman, Alan. / An evaluation of the accuracy of discontinuous finite elements in explicit dynamic calculations. IUTAM Symposium on Discretization Methods for Evolving Discontinuities. editor / A. Combescure ; R. de Borst ; T. Belytschko. Dordrecht : Springer, 2007. pp. 303-322 (IUTAM Bookseries).
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    abstract = "The use of partition of unity based discontinuous finite element formulations for the simulation of crack propagation with implicit simulations is now well established. However, in explicit simulations the accuracy is still a point of concern. Some outstanding issues will be addressed in this paper.",
    keywords = "explicit time integration, fast crack growth, partition of unity method",
    author = "Remmers, {Joris J.C.} and {de Borst}, Rene and Alan Needleman",
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    Remmers, JJC, de Borst, R & Needleman, A 2007, An evaluation of the accuracy of discontinuous finite elements in explicit dynamic calculations. in A Combescure , R de Borst & T Belytschko (eds), IUTAM Symposium on Discretization Methods for Evolving Discontinuities. IUTAM Bookseries, vol. 5, Springer, Dordrecht, pp. 303-322. https://doi.org/10.1007/978-1-4020-6530-9_18

    An evaluation of the accuracy of discontinuous finite elements in explicit dynamic calculations. / Remmers, Joris J.C.; de Borst, Rene; Needleman, Alan.

    IUTAM Symposium on Discretization Methods for Evolving Discontinuities. ed. / A. Combescure ; R. de Borst; T. Belytschko. Dordrecht : Springer, 2007. p. 303-322 (IUTAM Bookseries; Vol. 5).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review

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    N2 - The use of partition of unity based discontinuous finite element formulations for the simulation of crack propagation with implicit simulations is now well established. However, in explicit simulations the accuracy is still a point of concern. Some outstanding issues will be addressed in this paper.

    AB - The use of partition of unity based discontinuous finite element formulations for the simulation of crack propagation with implicit simulations is now well established. However, in explicit simulations the accuracy is still a point of concern. Some outstanding issues will be addressed in this paper.

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    Remmers JJC, de Borst R, Needleman A. An evaluation of the accuracy of discontinuous finite elements in explicit dynamic calculations. In Combescure A, de Borst R, Belytschko T, editors, IUTAM Symposium on Discretization Methods for Evolving Discontinuities. Dordrecht: Springer. 2007. p. 303-322. (IUTAM Bookseries). https://doi.org/10.1007/978-1-4020-6530-9_18

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