Error-controlled adaptive extended finite element method for 3D linear elastic crack propagation

Yi Jin, O. A. González-Estrada, O. Pierard, S. P A Bordas

Research output: Contribution to journalArticle

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Abstract

We present a simple error estimation and mesh adaptation approach for 3D linear elastic crack propagation simulations using the eXtended Finite Element Method (X-FEM). A global extended recovery technique (Duflot and Bordas, 2008) is used to quantify the interpolation error. Based on this error distribution, four strategies relying on two different mesh optimality criteria are compared. The first aims at homogenizing the error distribution. The second minimizes the total number of elements given a target global error level. We study the behaviour of these criteria in the context of cracks treated by an X-FE approach. In particular, we investigate the convergence rates at the element-level depending its enrichment type. We conclude on the most suitable refinement criterion and propose and verify a strategy for mesh adaptation on 3D damage tolerance assessment problems.

LanguageEnglish
Pages319-348
Number of pages30
JournalComputer Methods in Applied Mechanics and Engineering
Volume318
DOIs
StatePublished - 1 May 2017

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crack propagation
Crack propagation
finite element method
Finite element method
mesh
Damage tolerance
Error analysis
Interpolation
homogenizing
interpolation
Cracks
Recovery
cracks
recovery
damage
simulation

Cite this

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Error-controlled adaptive extended finite element method for 3D linear elastic crack propagation. / Jin, Yi; González-Estrada, O. A.; Pierard, O.; Bordas, S. P A.

In: Computer Methods in Applied Mechanics and Engineering, Vol. 318, 01.05.2017, p. 319-348.

Research output: Contribution to journalArticle

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T1 - Error-controlled adaptive extended finite element method for 3D linear elastic crack propagation

AU - Jin,Yi

AU - González-Estrada,O. A.

AU - Pierard,O.

AU - Bordas,S. P A

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KW - Error estimation

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