A Conforming A-FEM for Modeling Arbitrary Crack Propagation and Branching in Solids

Zhaoyang Ma; Yunwei Xu; Shu Li; Qingda Yang; Xingming Guo; Xianyue Su

doi:10.1142/S1758825121500101

A Conforming A-FEM for Modeling Arbitrary Crack Propagation and Branching in Solids

Zhaoyang Ma, Yunwei Xu, Shu Li, Qingda Yang, Xingming Guo, Xianyue Su

Mechanical & Aerospace Engineering

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

1 Scopus citations

Abstract

In this paper, an improved conforming AFEM (C-AFEM) for efficient modeling of arbitrary crack propagation and branching is proposed and validated. An explicit formulation for branching cracks has been derived within the C-AFEM framework. The conjugate gradient method is integrated into the C-AFEM formulation to solve the local problem that consists of all elements traversed by single or multiple cracks. Multiple numerical evidences show that this new approach can substantially improve the modeling efficiency. The solution accuracy and numerical robustness are also significantly improved.

Original language	English (US)
Article number	2150010
Journal	International Journal of Applied Mechanics
Volume	13
Issue number	1
DOIs	https://doi.org/10.1142/S1758825121500101
State	Published - Jan 2021

Keywords

Conforming augmented finite element method
crack branching
damage
fracture

ASJC Scopus subject areas

Materials Science(all)
Mechanics of Materials
Mechanical Engineering

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10.1142/S1758825121500101

Cite this

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title = "A Conforming A-FEM for Modeling Arbitrary Crack Propagation and Branching in Solids",

abstract = "In this paper, an improved conforming AFEM (C-AFEM) for efficient modeling of arbitrary crack propagation and branching is proposed and validated. An explicit formulation for branching cracks has been derived within the C-AFEM framework. The conjugate gradient method is integrated into the C-AFEM formulation to solve the local problem that consists of all elements traversed by single or multiple cracks. Multiple numerical evidences show that this new approach can substantially improve the modeling efficiency. The solution accuracy and numerical robustness are also significantly improved.",

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author = "Zhaoyang Ma and Yunwei Xu and Shu Li and Qingda Yang and Xingming Guo and Xianyue Su",

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AU - Ma, Zhaoyang

AU - Xu, Yunwei

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AU - Guo, Xingming

AU - Su, Xianyue

N1 - Funding Information: This research is supported by the National Natural Science Foundation of China under Grant Nos. 11872233, 11472163 and the Innovation Program of Shanghai Municipal Education Commission, China under Grant No. 2017-01-07-00-09-E00019. Publisher Copyright: © 2021 World Scientific Publishing Europe Ltd.

PY - 2021/1

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N2 - In this paper, an improved conforming AFEM (C-AFEM) for efficient modeling of arbitrary crack propagation and branching is proposed and validated. An explicit formulation for branching cracks has been derived within the C-AFEM framework. The conjugate gradient method is integrated into the C-AFEM formulation to solve the local problem that consists of all elements traversed by single or multiple cracks. Multiple numerical evidences show that this new approach can substantially improve the modeling efficiency. The solution accuracy and numerical robustness are also significantly improved.

AB - In this paper, an improved conforming AFEM (C-AFEM) for efficient modeling of arbitrary crack propagation and branching is proposed and validated. An explicit formulation for branching cracks has been derived within the C-AFEM framework. The conjugate gradient method is integrated into the C-AFEM formulation to solve the local problem that consists of all elements traversed by single or multiple cracks. Multiple numerical evidences show that this new approach can substantially improve the modeling efficiency. The solution accuracy and numerical robustness are also significantly improved.

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A Conforming A-FEM for Modeling Arbitrary Crack Propagation and Branching in Solids

Abstract

Keywords

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