Phase field fracture in elasto-plastic solids: Abaqus implementation and case studies

Fang, J; Wu, C; Rabczuk, T; Ma, C; Sun, G; Li, Q

Phase field fracture in elasto-plastic solids: Abaqus implementation and case studies

Fang, J

Wu, C

Rabczuk, T Ma, C Sun, G Li, Q

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Publication Type:: Journal Article
Citation:: Theoretical and Applied Fracture Mechanics, 2019, 103
Issue Date:: 2019-10-01

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Field	Value	Language
dc.contributor.author	Fang, J https://orcid.org/0000-0003-0119-6108	en_US
dc.contributor.author	Wu, C https://orcid.org/0000-0001-6786-7934	en_US
dc.contributor.author	Rabczuk, T	en_US
dc.contributor.author	Ma, C	en_US
dc.contributor.author	Sun, G	en_US
dc.contributor.author	Li, Q	en_US
dc.date.issued	2019-10-01	en_US
dc.identifier.citation	Theoretical and Applied Fracture Mechanics, 2019, 103	en_US
dc.identifier.issn	0167-8442	en_US
dc.identifier.uri	http://hdl.handle.net/10453/137793
dc.description.abstract	© 2019 Elsevier Ltd Phase field modelling for fracture has been extended from elastic solids to elasto-plastic solids. In this study, we present the implementation procedures of a staggered scheme for phase field fracture of elasto-plastic solids in commercial finite element software Abaqus using subroutines UEL and UMAT. The UMAT is written for the constitutive behaviour of elasto-plastic solids, while the UEL is written for the phase field fracture. The phase field and displacement field are solved separately using the Newton-Raphson iteration method. In each iteration, one field is computed by freezing the other field at the last loading increment. A number of benchmark examples are tested from one single element up to 3D problems. The correctness of the staggered scheme is verified analytically in terms of the stress-strain curve and the evolution of the phase field in the one single element example. In the 2D and 3D problems, the fracture behaviour of elasto-plastic solids can be reproduced in terms of reaction force curve and crack propagation, which exhibit good agreement with the experimental observations and numerical results in literature. Not only can the proposed implementation help attract more academic researchers, but also engineering practitioners to take the advantages of phase field modelling for fracture in elasto-plastic solids. The Abaqus subroutine codes can be downloaded online from Mendeley data repository linked to this work (The link is provided in Supplementary material).	en_US
dc.relation	http://purl.org/au-research/grants/arc/DP160104661
dc.relation	http://purl.org/au-research/grants/arc/DP190103752
dc.relation.ispartof	Theoretical and Applied Fracture Mechanics	en_US
dc.relation.isbasedon	10.1016/j.tafmec.2019.102252	en_US
dc.subject.classification	Mechanical Engineering & Transports	en_US
dc.title	Phase field fracture in elasto-plastic solids: Abaqus implementation and case studies	en_US
dc.type	Journal Article
utslib.citation.volume	103	en_US
utslib.for	0102 Applied Mathematics	en_US
utslib.for	0905 Civil Engineering	en_US
utslib.for	0913 Mechanical Engineering	en_US
pubs.embargo.period	Not known	en_US
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
pubs.organisational-group	/University of Technology Sydney/Strength - CBI - Centre for Built Infrastructure
utslib.copyright.status	closed_access
pubs.publication-status	Published	en_US
pubs.volume	103	en_US

Abstract:

© 2019 Elsevier Ltd Phase field modelling for fracture has been extended from elastic solids to elasto-plastic solids. In this study, we present the implementation procedures of a staggered scheme for phase field fracture of elasto-plastic solids in commercial finite element software Abaqus using subroutines UEL and UMAT. The UMAT is written for the constitutive behaviour of elasto-plastic solids, while the UEL is written for the phase field fracture. The phase field and displacement field are solved separately using the Newton-Raphson iteration method. In each iteration, one field is computed by freezing the other field at the last loading increment. A number of benchmark examples are tested from one single element up to 3D problems. The correctness of the staggered scheme is verified analytically in terms of the stress-strain curve and the evolution of the phase field in the one single element example. In the 2D and 3D problems, the fracture behaviour of elasto-plastic solids can be reproduced in terms of reaction force curve and crack propagation, which exhibit good agreement with the experimental observations and numerical results in literature. Not only can the proposed implementation help attract more academic researchers, but also engineering practitioners to take the advantages of phase field modelling for fracture in elasto-plastic solids. The Abaqus subroutine codes can be downloaded online from Mendeley data repository linked to this work (The link is provided in Supplementary material).

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http://hdl.handle.net/10453/137793