A new crack tip element for the phantom-node method with arbitrary cohesive cracks

Timon Rabczuk, Goangseup Zi, Axel Gerstenberger, Wolfgang A. Wall

    Research output: Contribution to journalArticlepeer-review

    214 Citations (Scopus)

    Abstract

    We have developed a new crack tip element for the phantom-node method. In this method, a crack tip can be placed inside an element. Therefore, cracks can propagate almost independent of the finite element mesh. We developed two different formulations for the three-node triangular element and four-node quadrilateral element, respectively. Although this method is well suited for the one-point quadrature scheme, it can be used with other general quadrature schemes. We provide some numerical examples for some static and dynamic problems.

    Original languageEnglish
    Pages (from-to)577-599
    Number of pages23
    JournalInternational Journal for Numerical Methods in Engineering
    Volume75
    Issue number5
    DOIs
    Publication statusPublished - 2008 Jul 30

    Keywords

    • Cracks
    • Dynamic fracture
    • Hansbo and Hansbo's approach
    • Phantom-node method

    ASJC Scopus subject areas

    • Numerical Analysis
    • General Engineering
    • Applied Mathematics

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