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A combined virtual element method and the scaled boundary finite element method for linear elastic fracture mechanics
Dibyendu Adak, Aladurthi L.N. Pramod, Ean Tat Ooi,
Published in Elsevier Ltd
2020
Volume: 113
   
Pages: 9 - 16
Abstract
In this paper, we propose a framework that combines the recently introduced virtual element method (VEM) and the scaled boundary finite element method (SBFEM) to evaluate the fracture parameters. The domain is discretized with arbitrary polygons and the element that contains the crack tip is treated within the framework of the SBFEM. This facilitates a semi-analytical treatment of the crack tip singularity allowing the fracture parameters are estimated directly from the definition. The VEM is employed for the rest of the domain. The salient feature of the VEM is that the terms in the stiffness matrix are computed without requiring higher order quadrature schemes. As both the methods satisfy partition of unity and the compatibility condition, the matrices are assembled as in the conventional FEM. The accuracy of the proposed formulation is demonstrated with two standard benchmark examples. The proposed VEM-SBFEM framework yields accurate results. © 2019 Elsevier Ltd
About the journal
JournalData powered by TypesetEngineering Analysis with Boundary Elements
PublisherData powered by TypesetElsevier Ltd
ISSN09557997
Open AccessNo
Concepts (13)
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    Crack propagation
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    Crack tips
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    Stiffness matrix
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    Stress intensity factors
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    Compatibility conditions
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    FRACTURE PARAMETER
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    LINEAR ELASTIC FRACTURE MECHANICS
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    Partition of unity
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    POLYGONAL ELEMENT
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    Salient features
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    SCALED BOUNDARY FINITE ELEMENT METHOD
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    VIRTUAL ELEMENT METHOD
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    Finite element method