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Treatment of Brittle Fracture in Solids with the Virtual Element Method

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Book cover Virtual Design and Validation

Part of the book series: Lecture Notes in Applied and Computational Mechanics ((LNACM,volume 93))

Abstract

Computational Mechanics has many applications in engineering. Its range of application has been enlarged widely in the last decades. Still new developments are made to which a new discretization scheme belongs: the virtual element method (VEM). Despite being only few years under development the application range of VEM in engineering includes formulations for linear and nonlinear material responses. In this contribution the focus is on fracture mechanics. Especially the treatment of crack propagation will be discussed where VEM has some advantages. The performance of the formulation is underlined by means of representative examples.

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Authors and Affiliations

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

    A. Hussein, P. Wriggers, B. Hudobivnik & F. Aldakheel

  2. LMT, ENS Paris-Saclay/CNRS/Université Paris-Saclay, 61 avenue du Président Wilson, 94235, Cachan Cedex, France

    P.-A. Guidault & O. Allix

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  1. A. Hussein
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  2. P. Wriggers
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  3. B. Hudobivnik
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  4. F. Aldakheel
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  5. P.-A. Guidault
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  6. O. Allix
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Correspondence to A. Hussein .

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Editors and Affiliations

  1. Institut für Kontinuumsmechanik, Leibniz Universität Hannover, Hannover, Germany

    Peter Wriggers

  2. LMT-Cachan, Cachan, France

    Olivier Allix

  3. Institut für Kontinuumsmechanik, Leibniz Universität Hannover, Hannover, Germany

    Christian Weißenfels

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Hussein, A., Wriggers, P., Hudobivnik, B., Aldakheel, F., Guidault, PA., Allix, O. (2020). Treatment of Brittle Fracture in Solids with the Virtual Element Method. In: Wriggers, P., Allix, O., Weißenfels, C. (eds) Virtual Design and Validation. Lecture Notes in Applied and Computational Mechanics, vol 93. Springer, Cham. https://doi.org/10.1007/978-3-030-38156-1_11

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  • DOI: https://doi.org/10.1007/978-3-030-38156-1_11

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