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    A finite strain Eulerian formulation for compressible and nearly incompressible hyperelasticity using high-order B-spline finite elements

    Access Status
    Fulltext not available
    Authors
    Duddu, R.
    Lavier, L.
    Hughes, T.
    Calo, Victor
    Date
    2012
    Type
    Journal Article
    
    Metadata
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    Citation
    Duddu, R. and Lavier, L. and Hughes, T. and Calo, V. 2012. A finite strain Eulerian formulation for compressible and nearly incompressible hyperelasticity using high-order B-spline finite elements. International Journal for Numerical Methods in Engineering. 89 (6): pp. 762-785.
    Source Title
    International Journal for Numerical Methods in Engineering
    DOI
    10.1002/nme.3262
    ISSN
    0029-5981
    School
    Department of Applied Geology
    URI
    http://hdl.handle.net/20.500.11937/51419
    Collection
    • Curtin Research Publications
    Abstract

    We present a numerical formulation aimed at modeling the nonlinear response of elastic materials using large deformation continuum mechanics in three dimensions. This finite element formulation is based on the Eulerian description of motion and the transport of the deformation gradient. When modeling a nearly incompressible solid, the transport of the deformation gradient is decomposed into its isochoric part and the Jacobian determinant as independent fields. A homogeneous isotropic hyperelastic solid is assumed and B-splines-based finite elements are used for the spatial discretization. A variational multiscale residual-based approach is employed to stabilize the transport equations. The performance of the scheme is explored for both compressible and nearly incompressible applications. The numerical results are in good agreement with theory illustrating the viability of the computational scheme. © 2011 John Wiley & Sons, Ltd.

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