The extended finite element method for dynamic fractures

Goangseup Zi; Hao Chen; Jingxiao Xu; Ted Belytschko

doi:10.1155/2005/729090

The extended finite element method for dynamic fractures

Goangseup Zi, Hao Chen, Jingxiao Xu, Ted Belytschko

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

67 Citations (Scopus)

Abstract

A method for modelling arbitrary growth of dynamic cracks without remeshing is presented. The method is based on a local partition of unity. It is combined with level sets, so that the discontinuities can be represented entirely in terms of nodal data. This leads to a simple method with clean data structures that can easily be incorporated in general purpose software. Results for a mixed-mode dynamic fracture problem are given to demonstrate the method.

Original language	English
Pages (from-to)	9-23
Number of pages	15
Journal	Shock and Vibration
Volume	12
Issue number	1 SPEC. ISS.
DOIs	https://doi.org/10.1155/2005/729090
Publication status	Published - 2005

Keywords

Dynamic fracture
Extended finite element method
Growing cracks
Level sets

ASJC Scopus subject areas

Civil and Structural Engineering
Condensed Matter Physics
Geotechnical Engineering and Engineering Geology
Mechanics of Materials
Mechanical Engineering

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10.1155/2005/729090

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AU - Zi, Goangseup

AU - Chen, Hao

AU - Xu, Jingxiao

AU - Belytschko, Ted

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Y1 - 2005

N2 - A method for modelling arbitrary growth of dynamic cracks without remeshing is presented. The method is based on a local partition of unity. It is combined with level sets, so that the discontinuities can be represented entirely in terms of nodal data. This leads to a simple method with clean data structures that can easily be incorporated in general purpose software. Results for a mixed-mode dynamic fracture problem are given to demonstrate the method.

AB - A method for modelling arbitrary growth of dynamic cracks without remeshing is presented. The method is based on a local partition of unity. It is combined with level sets, so that the discontinuities can be represented entirely in terms of nodal data. This leads to a simple method with clean data structures that can easily be incorporated in general purpose software. Results for a mixed-mode dynamic fracture problem are given to demonstrate the method.

KW - Dynamic fracture

KW - Extended finite element method

KW - Growing cracks

KW - Level sets

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U2 - 10.1155/2005/729090

DO - 10.1155/2005/729090

M3 - Article

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IS - 1 SPEC. ISS.

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The extended finite element method for dynamic fractures

Abstract

Keywords

ASJC Scopus subject areas

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