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Scaled boundary finite element method for compressible and nearly incompressible elasticity over arbitrary polytopes
Lakshmi Narasimha Pramod Aladurthi, , Ean Tat Ooi, Chongmin Song
Published in John Wiley and Sons Ltd
2019
Volume: 119
   
Issue: 13
Pages: 1379 - 1394
Abstract

In this paper, a purely displacement-based formulation is presented within the framework of the scaled boundary finite element method to model compressible and nearly incompressible materials. A selective reduced integration technique combined with an analytical treatment in the nearly incompressible limit is employed to alleviate volumetric locking. The stiffness matrix is computed by solving the scaled boundary finite element equation. The salient feature of the proposed technique is that it neither requires a stabilization parameter nor adds additional degrees of freedom to handle volumetric locking. The efficiency and the robustness of the proposed approach is demonstrated by solving various numerical examples in two and three dimensions. © 2019 John Wiley & Sons, Ltd.

About the journal
JournalData powered by TypesetInternational Journal for Numerical Methods in Engineering
PublisherData powered by TypesetJohn Wiley and Sons Ltd
ISSN00295981
Open AccessNo
Concepts (13)
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    Degrees of freedom (mechanics)
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    Incompressible flow
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    Locks (fasteners)
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    Stiffness matrix
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    Analytical treatment
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    DISPLACEMENT-BASED FORMULATIONS
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    FINITE ELEMENT EQUATIONS
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    NEARLY INCOMPRESSIBLE
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    SCALED BOUNDARY FINITE ELEMENT METHOD
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    SELECTIVE REDUCED INTEGRATION
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    STABILIZATION PARAMETERS
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    TAYLOR SERIES EXPANSIONS
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    Finite element method