Phase field fracture in elasto-plastic solids: Variational formulation for multi-surface plasticity and effects of plastic yield surfaces and hardening

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

Phase field fracture in elasto-plastic solids: Variational formulation for multi-surface plasticity and effects of plastic yield surfaces and hardening

Fang, J

Wu, C

Li, J

Liu, Q Sun, G Li, Q

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Publication Type:: Journal Article
Citation:: International Journal of Mechanical Sciences, 2019, 156 pp. 382 - 396
Issue Date:: 2019-06-01

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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	Li, J https://orcid.org/0000-0003-2457-1994	en_US
dc.contributor.author	Liu, Q	en_US
dc.contributor.author	Sun, G	en_US
dc.contributor.author	Li, Q	en_US
dc.date.issued	2019-06-01	en_US
dc.identifier.citation	International Journal of Mechanical Sciences, 2019, 156 pp. 382 - 396	en_US
dc.identifier.issn	0020-7403	en_US
dc.identifier.uri	http://hdl.handle.net/10453/137700
dc.description.abstract	© 2019 Elsevier Ltd The phase field modelling has been extended from brittle fracture to ductile fracture by incorporating plasticity. However, the effects of plastic yield functions and hardening on the fracture behaviour have not been examined systematically to date. The phase field fracture coupled with multi-surface plasticity is formulated in the variational framework for the unified yield criterion, which is able to facilitate the study on different yield surfaces. First, the homogeneous solutions of fracture in elasto-plastic solids are derived analytically for 1D and 2D cases. The results show that a greater hardening modulus would lead to an ascending branch of the stress versus strain curve; and the yield function may significantly affect the stress state and phase field damage. Second, the finite element (FE) technique is implemented for modelling the phase field fracture in elasto-plastic solids, in which the stress update and consistent tangent modular matrix are derived for the unified yield criterion. Finally, three numerical examples are presented to explore the effects of the yield function and material hardening. It is found that the yield function and material hardening could significantly affect the crack propagation and the final fracture pattern. In particular, the Tresca yield function tends to create a straight crack path orthogonal to the first principal stress, while the other yield functions show no sizeable difference in their crack paths.	en_US
dc.relation	http://purl.org/au-research/grants/arc/DP160104661
dc.relation.ispartof	International Journal of Mechanical Sciences	en_US
dc.relation.isbasedon	10.1016/j.ijmecsci.2019.03.012	en_US
dc.subject.classification	Mechanical Engineering & Transports	en_US
dc.title	Phase field fracture in elasto-plastic solids: Variational formulation for multi-surface plasticity and effects of plastic yield surfaces and hardening	en_US
dc.type	Journal Article
utslib.citation.volume	156	en_US
utslib.for	0905 Civil Engineering	en_US
utslib.for	0910 Manufacturing 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	156	en_US

Abstract:

© 2019 Elsevier Ltd The phase field modelling has been extended from brittle fracture to ductile fracture by incorporating plasticity. However, the effects of plastic yield functions and hardening on the fracture behaviour have not been examined systematically to date. The phase field fracture coupled with multi-surface plasticity is formulated in the variational framework for the unified yield criterion, which is able to facilitate the study on different yield surfaces. First, the homogeneous solutions of fracture in elasto-plastic solids are derived analytically for 1D and 2D cases. The results show that a greater hardening modulus would lead to an ascending branch of the stress versus strain curve; and the yield function may significantly affect the stress state and phase field damage. Second, the finite element (FE) technique is implemented for modelling the phase field fracture in elasto-plastic solids, in which the stress update and consistent tangent modular matrix are derived for the unified yield criterion. Finally, three numerical examples are presented to explore the effects of the yield function and material hardening. It is found that the yield function and material hardening could significantly affect the crack propagation and the final fracture pattern. In particular, the Tresca yield function tends to create a straight crack path orthogonal to the first principal stress, while the other yield functions show no sizeable difference in their crack paths.

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http://hdl.handle.net/10453/137700