Selective Integration in the Material-Point Method

Lars Andersen, Søren Andersen, Lars Damkilde

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    Abstract

    The paper deals with stress integration in the material-point method. In order to avoid parasitic shear in bending, a formulation is proposed, based on selective integration in the background grid that is used to solve the governing equations. The suggested integration scheme is compared to a traditional material-point-method computation in which the stresses are evaluated at the material points. The deformation of a cantilever beam is analysed, assuming elastic or elastoplastic material behaviour.
    Original languageEnglish
    Title of host publicationProceedings of the Twenty Second Nordic Seminar on Computational Mechanics
    EditorsLars Damkilde, Lars Andersen, Anders Schmidt Kristensen, Erik Lund
    PublisherDepartment of Civil Engineering, Aalborg University
    Publication date2009
    Pages125-128
    Publication statusPublished - 2009
    EventThe Nordic Seminar on Computational Mechanics - Aalborg, Denmark
    Duration: 22 Oct 200923 Oct 2009
    Conference number: 22

    Conference

    ConferenceThe Nordic Seminar on Computational Mechanics
    Number22
    Country/TerritoryDenmark
    CityAalborg
    Period22/10/200923/10/2009
    SeriesDCE Technical Memorandum
    Number11
    ISSN1901-7278

    Keywords

    • Material-Point Method
    • MPM
    • Finite-Element Method
    • FEM
    • Solid Mechanics
    • State Variables
    • Material Points
    • Deformation

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