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Crack propagation modelling in functionally graded materials using scaled boundary polygons
Ean Tat Ooi, , C. Song, Francis Tin-Loi
Published in Kluwer Academic Publishers
2015
Volume: 192
   
Issue: 1
Pages: 87 - 105
Abstract
A recently developed scaled boundary finite element formulation that can model the response of functionally graded materials is further developed to model crack propagation in two-dimensions. This formulation can accurately model the stress singularity at the crack tip in heterogeneous materials. The asymptotic behaviour at the crack tip is analytically represented in the scaled boundary shape functions of a cracked polygon. This enables accurate stress intensity factors to be computed directly from their definitions. Neither local mesh refinement nor asymptotic enrichment functions are required. This novel formulation can be implemented on polygons with an arbitrary number of sides. When modelling crack propagation, the remeshing process is more flexible and leads to only minimal changes to the global mesh structure. Six numerical examples involving crack propagation in functionally graded materials are modelled to demonstrate the salient features of the developed method. © 2015, Springer Science+Business Media Dordrecht.
About the journal
JournalInternational Journal of Fracture
PublisherKluwer Academic Publishers
ISSN03769429
Open AccessNo
Concepts (17)
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    Crack propagation
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    Crack tips
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    Cracks
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    Finite element method
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    Fracture
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    Geometry
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    Numerical methods
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    Structural analysis
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    ASYMPTOTIC BEHAVIOUR
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    ENRICHMENT FUNCTIONS
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    Finite element formulations
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    HETEROGENEOUS MATERIALS
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    LOCAL MESH REFINEMENT
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    POLYGON ELEMENT
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    SCALED BOUNDARY FINITE ELEMENT METHOD
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    Stress singularities
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    Functionally graded materials