On three-dimensional modelling of crack growth using partition of unity methods

Timon Rabczuk; Stéphane Bordas; Goangseup Zi

doi:10.1016/j.compstruc.2008.08.010

On three-dimensional modelling of crack growth using partition of unity methods

Timon Rabczuk, Stéphane Bordas, Goangseup Zi

Research output: Contribution to journal › Article › peer-review

333 Citations (Scopus)

Abstract

This paper reviews different crack tracking techniques in three-dimensions applicable in the context of partition of unity methods, especially meshfree methods. Issues such as describing and tracking the crack surface are addressed. A crack tracking procedure is proposed in detail and implemented in the context of the extended element-free Galerkin method (XEFG). Several three-dimensional cracking examples are compared to other results from the literature or the experimental data and show good agreement.

Original language	English
Pages (from-to)	1391-1411
Number of pages	21
Journal	Computers and Structures
Volume	88
Issue number	23-24
DOIs	https://doi.org/10.1016/j.compstruc.2008.08.010
Publication status	Published - 2010 Dec

Bibliographical note

Copyright:
Copyright 2011 Elsevier B.V., All rights reserved.

Keywords

Cohesive cracks
Discontinuous enrichment
Extended element-free Galerkin method (XEFG)
Extended finite element method (XFEM)
Fragmentation
Three-dimensional crack initiation and growth

ASJC Scopus subject areas

Civil and Structural Engineering
Modelling and Simulation
General Materials Science
Mechanical Engineering
Computer Science Applications

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10.1016/j.compstruc.2008.08.010

Cite this

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abstract = "This paper reviews different crack tracking techniques in three-dimensions applicable in the context of partition of unity methods, especially meshfree methods. Issues such as describing and tracking the crack surface are addressed. A crack tracking procedure is proposed in detail and implemented in the context of the extended element-free Galerkin method (XEFG). Several three-dimensional cracking examples are compared to other results from the literature or the experimental data and show good agreement.",

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AU - Bordas, Stéphane

AU - Zi, Goangseup

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N2 - This paper reviews different crack tracking techniques in three-dimensions applicable in the context of partition of unity methods, especially meshfree methods. Issues such as describing and tracking the crack surface are addressed. A crack tracking procedure is proposed in detail and implemented in the context of the extended element-free Galerkin method (XEFG). Several three-dimensional cracking examples are compared to other results from the literature or the experimental data and show good agreement.

AB - This paper reviews different crack tracking techniques in three-dimensions applicable in the context of partition of unity methods, especially meshfree methods. Issues such as describing and tracking the crack surface are addressed. A crack tracking procedure is proposed in detail and implemented in the context of the extended element-free Galerkin method (XEFG). Several three-dimensional cracking examples are compared to other results from the literature or the experimental data and show good agreement.

KW - Cohesive cracks

KW - Discontinuous enrichment

KW - Extended element-free Galerkin method (XEFG)

KW - Extended finite element method (XFEM)

KW - Fragmentation

KW - Three-dimensional crack initiation and growth

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ER -

On three-dimensional modelling of crack growth using partition of unity methods

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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