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Adaptive smoothed stable extended finite element method for weak discontinuities for finite elasticity
Chintan Jansari, , Lars Beex,
Published in Elsevier Ltd
2019
Volume: 78
   
Abstract
In this paper, we propose a smoothed stable extended finite element method (S2XFEM) by combining the strain smoothing with the stable extended finite element method (SXFEM) to efficiently treat inclusions and/or voids in hyperelastic matrix materials. The interface geometries are implicitly represented through level sets and a geometry based error indicator is used to resolve the geometry. For the unknown fields, the mesh is refined based on a recovery based error indicator combined with a quadtree decomposition guarantee the method's accuracy with respect to the computational costs. Elements with hanging nodes (due to the quadtree meshes) are treated as polygonal elements with mean value coordinates as the basis functions. The accuracy and the convergence properties are compared to similar approaches for several numerical examples. The examples indicate that S2XFEM is computationally the most efficient without compromising the accuracy. © 2019 Elsevier Masson SAS
About the journal
JournalData powered by TypesetEuropean Journal of Mechanics, A/Solids
PublisherData powered by TypesetElsevier Ltd
ISSN09977538
Open AccessYes
Concepts (11)
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    ELASTICITY
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    Mesh generation
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    Numerical methods
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    ADAPTIVE MESHING
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    EXTENDED FINITE ELEMENT METHOD
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    HYPERELASTIC MATERIALS
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    Numerical integrations
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    QUAD TREES
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    Shape functions
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    SMOOTHED FINITE ELEMENT METHOD
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    Finite element method