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A phase-field model for mixed-mode fracture based on a unified tensile fracture criterion

Qiao Wang, Yuntian Feng Orcid Logo, Wei Zhou, Yonggang Cheng, Gang Ma

Computer Methods in Applied Mechanics and Engineering, Volume: 370, Start page: 113270

Swansea University Authors: Qiao Wang, Yuntian Feng Orcid Logo

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DOI (Published version): 10.1016/j.cma.2020.113270

Abstract

Different fracture patterns can be observed because of different material properties, even the geometry and loading are the same. However, most of the known phase-field fracture models have only considered the tensile failure and may not be directly applicable to the shear fracture. In this paper, a...

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Published in: Computer Methods in Applied Mechanics and Engineering
ISSN: 0045-7825
Published: Elsevier BV 2020
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URI: https://cronfa.swan.ac.uk/Record/cronfa54613
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spelling 2020-08-21T13:13:43.6796143 v2 54613 2020-07-03 A phase-field model for mixed-mode fracture based on a unified tensile fracture criterion c293b3e9a15170f74de2bb9d87660c25 Qiao Wang Qiao Wang true false d66794f9c1357969a5badf654f960275 0000-0002-6396-8698 Yuntian Feng Yuntian Feng true false 2020-07-03 FGSEN Different fracture patterns can be observed because of different material properties, even the geometry and loading are the same. However, most of the known phase-field fracture models have only considered the tensile failure and may not be directly applicable to the shear fracture. In this paper, a phase-field model for mixed-mode fracture is proposed based on a unified tensile fracture criterion. The proposed model is developed from the unified phase-field theory and the original unified phase-field model can be recovered as a particular case. General softening laws for cohesive zone models can also be considered. The unified tensile fracture criterion is embedded in the proposed mixed-mode phase-field model and different fracture patterns can be obtained in the simulation according to the material properties, including failures based on both maximum normal stress and maximum shear stress criteria. The crack propagation direction can be easily determined by the unified tensile fracture criterion. Compared with the classical phase-field model, two additional material parameters are needed, i.e., the failure tension strength and the ratio of the critical shear failure stress to the critical normal fracture stress. Numerical examples have shown that the proposed model has the ability to model mixed-mode fractures, and can also be applied to rock-like brittle materials under compression. Journal Article Computer Methods in Applied Mechanics and Engineering 370 113270 Elsevier BV 0045-7825 Phase-field fracture model, Shear fracture, Mixed-mode fracture, Unified tensile fracture criterion 1 10 2020 2020-10-01 10.1016/j.cma.2020.113270 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2020-08-21T13:13:43.6796143 2020-07-03T09:47:29.5068333 Qiao Wang 1 Yuntian Feng 0000-0002-6396-8698 2 Wei Zhou 3 Yonggang Cheng 4 Gang Ma 5 54613__17631__bac75fe55b5d4fc2bb87bc57bf0e336d.pdf 54613.pdf 2020-07-03T09:55:14.7935098 Output 3888460 application/pdf Accepted Manuscript true 2021-07-10T00:00:00.0000000 © 2020. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ true eng
title A phase-field model for mixed-mode fracture based on a unified tensile fracture criterion
spellingShingle A phase-field model for mixed-mode fracture based on a unified tensile fracture criterion
Qiao Wang
Yuntian Feng
title_short A phase-field model for mixed-mode fracture based on a unified tensile fracture criterion
title_full A phase-field model for mixed-mode fracture based on a unified tensile fracture criterion
title_fullStr A phase-field model for mixed-mode fracture based on a unified tensile fracture criterion
title_full_unstemmed A phase-field model for mixed-mode fracture based on a unified tensile fracture criterion
title_sort A phase-field model for mixed-mode fracture based on a unified tensile fracture criterion
author_id_str_mv c293b3e9a15170f74de2bb9d87660c25
d66794f9c1357969a5badf654f960275
author_id_fullname_str_mv c293b3e9a15170f74de2bb9d87660c25_***_Qiao Wang
d66794f9c1357969a5badf654f960275_***_Yuntian Feng
author Qiao Wang
Yuntian Feng
author2 Qiao Wang
Yuntian Feng
Wei Zhou
Yonggang Cheng
Gang Ma
format Journal article
container_title Computer Methods in Applied Mechanics and Engineering
container_volume 370
container_start_page 113270
publishDate 2020
institution Swansea University
issn 0045-7825
doi_str_mv 10.1016/j.cma.2020.113270
publisher Elsevier BV
document_store_str 1
active_str 0
description Different fracture patterns can be observed because of different material properties, even the geometry and loading are the same. However, most of the known phase-field fracture models have only considered the tensile failure and may not be directly applicable to the shear fracture. In this paper, a phase-field model for mixed-mode fracture is proposed based on a unified tensile fracture criterion. The proposed model is developed from the unified phase-field theory and the original unified phase-field model can be recovered as a particular case. General softening laws for cohesive zone models can also be considered. The unified tensile fracture criterion is embedded in the proposed mixed-mode phase-field model and different fracture patterns can be obtained in the simulation according to the material properties, including failures based on both maximum normal stress and maximum shear stress criteria. The crack propagation direction can be easily determined by the unified tensile fracture criterion. Compared with the classical phase-field model, two additional material parameters are needed, i.e., the failure tension strength and the ratio of the critical shear failure stress to the critical normal fracture stress. Numerical examples have shown that the proposed model has the ability to model mixed-mode fractures, and can also be applied to rock-like brittle materials under compression.
published_date 2020-10-01T04:08:15Z
_version_ 1763753586176557056
score 10.998093

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