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Crack face contact for a hexahedral-based XFEM formulation

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Abstract

Taking into account arbitrary crack geometries, crack closure generally occurs independently of the load case. As the standard eXtended Finite Element Method (XFEM) does not prevent unphysical crack face penetration in this case, a formulation allowing for crack face contact is proposed in terms of a penalty formulation for normal contact. The discretization is developed for non-planar cracks intersecting hexahedral elements in an arbitrary manner. Typical problems of many crack face contact implementations within the XFEM, like locking or the introduction of additional degrees of freedom, are avoided by projecting the contact contribution onto the hexahedral element nodes. The method is tested by means of suitable numerical examples, finally presenting an application in form of a multiscale setup with arbitrarily arranged micro cracks in the vicinity of a macro crack front.

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Authors and Affiliations

  1. Institute of Continuum Mechanics, Leibniz Universität Hannover, Appelstr. 11, 30167, Hannover, Germany

    D. S. Mueller-Hoeppe, P. Wriggers & S. Loehnert

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  1. D. S. Mueller-Hoeppe
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  2. P. Wriggers
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  3. S. Loehnert
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Correspondence to D. S. Mueller-Hoeppe.

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Mueller-Hoeppe, D.S., Wriggers, P. & Loehnert, S. Crack face contact for a hexahedral-based XFEM formulation. Comput Mech 49, 725–734 (2012). https://doi.org/10.1007/s00466-012-0701-2

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  • DOI: https://doi.org/10.1007/s00466-012-0701-2

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