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

doi:10.1016/j.cma.2016.12.016

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 journal › Article › peer-review

58 Citations (Scopus)

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.

Original language	English
Pages (from-to)	319-348
Number of pages	30
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	318
DOIs	https://doi.org/10.1016/j.cma.2016.12.016
Publication status	Published - 1 May 2017

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title = "Error-controlled adaptive extended finite element method for 3D linear elastic crack propagation",

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.",

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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

PY - 2017/5/1

Y1 - 2017/5/1

N2 - 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.

AB - 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.

KW - Crack propagation

KW - Error estimation

KW - Mesh adaptivity

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JO - Computer Methods in Applied Mechanics and Engineering

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

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