Phase field fracture in elasto-plastic solids: Incorporating phenomenological failure criteria for ductile materials

Li, C; Fang, J; Wu, C; Sun, G; Steven, G; Li, Q

Phase field fracture in elasto-plastic solids: Incorporating phenomenological failure criteria for ductile materials

Li, C

Fang, J

Wu, C Sun, G Steven, G Li, Q

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Publisher:: ELSEVIER SCIENCE SA
Publication Type:: Journal Article
Citation:: Computer Methods in Applied Mechanics and Engineering, 2022, 391
Issue Date:: 2022-03-01

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Field	Value	Language
dc.contributor.author	Li, C https://orcid.org/0000-0002-5514-6635
dc.contributor.author	Fang, J https://orcid.org/0000-0003-0119-6108
dc.contributor.author	Wu, C
dc.contributor.author	Sun, G
dc.contributor.author	Steven, G
dc.contributor.author	Li, Q
dc.date.accessioned	2023-04-06T03:12:25Z
dc.date.available	2023-04-06T03:12:25Z
dc.date.issued	2022-03-01
dc.identifier.citation	Computer Methods in Applied Mechanics and Engineering, 2022, 391
dc.identifier.issn	0045-7825
dc.identifier.issn	1879-2138
dc.identifier.uri	http://hdl.handle.net/10453/169286
dc.description.abstract	Phase field approaches have been developed to analyze the failure behavior of ductile materials. In the previous phase field models, a constant critical energy or strain threshold is commonly introduced to the formulation of the driving force, aiming to avoid damage initiation at a low level of elastic and plastic deformations. However, it may not suffice to describe complex ductile fracture behavior of materials subject to various stress states. In this study, a new phase field approach is proposed to consider the effects of stress triaxiality and Lode angle, by incorporating phenomenological ductile fracture criteria. The proposed models are formulated using variational principles and implemented numerically in the finite element framework. Analytical homogeneous solutions for uniaxial tension, simple shear, and equibiaxial tension loads are derived to demonstrate the effectiveness of the proposed models. Three groups of numerical examples, covering a wide range of stress states, are utilized to further examine the proposed models. The results show that the models can reproduce the experimental response of the specimen in terms of force versus displacement curve, crack initiation, and crack propagation under various loading conditions. The proposed models are able to capture the stress-state dependence of fracture behavior of ductile materials.
dc.language	English
dc.publisher	ELSEVIER SCIENCE SA
dc.relation	http://purl.org/au-research/grants/arc/DP190103752
dc.relation	http://purl.org/au-research/grants/arc/DE210101676
dc.relation.ispartof	Computer Methods in Applied Mechanics and Engineering
dc.relation.isbasedon	10.1016/j.cma.2022.114580
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	01 Mathematical Sciences, 09 Engineering
dc.subject.classification	Applied Mathematics
dc.title	Phase field fracture in elasto-plastic solids: Incorporating phenomenological failure criteria for ductile materials
dc.type	Journal Article
utslib.citation.volume	391
utslib.for	01 Mathematical Sciences
utslib.for	09 Engineering
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Civil and Environmental Engineering
utslib.copyright.status	closed_access	*
dc.date.updated	2023-04-06T03:12:23Z
pubs.publication-status	Published
pubs.volume	391

Abstract:

Phase field approaches have been developed to analyze the failure behavior of ductile materials. In the previous phase field models, a constant critical energy or strain threshold is commonly introduced to the formulation of the driving force, aiming to avoid damage initiation at a low level of elastic and plastic deformations. However, it may not suffice to describe complex ductile fracture behavior of materials subject to various stress states. In this study, a new phase field approach is proposed to consider the effects of stress triaxiality and Lode angle, by incorporating phenomenological ductile fracture criteria. The proposed models are formulated using variational principles and implemented numerically in the finite element framework. Analytical homogeneous solutions for uniaxial tension, simple shear, and equibiaxial tension loads are derived to demonstrate the effectiveness of the proposed models. Three groups of numerical examples, covering a wide range of stress states, are utilized to further examine the proposed models. The results show that the models can reproduce the experimental response of the specimen in terms of force versus displacement curve, crack initiation, and crack propagation under various loading conditions. The proposed models are able to capture the stress-state dependence of fracture behavior of ductile materials.

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http://hdl.handle.net/10453/169286