Phase field fracture in elasto-plastic solids: a length-scale insensitive model for quasi-brittle materials

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

Phase field fracture in elasto-plastic solids: a length-scale insensitive model for quasi-brittle materials

Fang, J

Wu, C

Rabczuk, T Wu, C

Sun, G Li, Q

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Publisher:: SPRINGER
Publication Type:: Journal Article
Citation:: Computational Mechanics, 2020, 66, (4), pp. 931-961
Issue Date:: 2020-10-01

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Field	Value	Language
dc.contributor.author	Fang, J https://orcid.org/0000-0003-0119-6108
dc.contributor.author	Wu, C https://orcid.org/0000-0001-6786-7934
dc.contributor.author	Rabczuk, T
dc.contributor.author	Wu, C https://orcid.org/0000-0001-6786-7934
dc.contributor.author	Sun, G
dc.contributor.author	Li, Q
dc.date.accessioned	2021-03-28T00:40:07Z
dc.date.available	2021-03-28T00:40:07Z
dc.date.issued	2020-10-01
dc.identifier.citation	Computational Mechanics, 2020, 66, (4), pp. 931-961
dc.identifier.issn	0178-7675
dc.identifier.issn	1432-0924
dc.identifier.uri	http://hdl.handle.net/10453/147556
dc.description.abstract	Phase-field methods for fracture have been integrated with plasticity for better describing constitutive behaviours. In most of the previous phase-field models, however, the length-scale parameter must be interpreted as a material property in order to match the material strength in experiments. This study presents a phase-field model for fracture coupled with plasticity for quasi-brittle materials with emphasis on insensitivity of the length-scale parameter. The proposed model is formulated using variational principles and implemented numerically in the finite element framework. The effective yield stress is calibrated to vary with the length-scale parameter such that the tensile strength remains the same. Moreover, semi-analytical solutions are derived to demonstrate that the length-scale parameter has a negligible effect on the stress–displacement curve. Five representative examples are considered here to validate the phase-field model for fracture in quasi-brittle materials. The simulated force–displacement curves and crack paths agree well with the corresponding experimental results. Importantly, it is found that the global structural response is insensitive to the length scale though it may influence the size of the failure zone. In most cases, a large length-scale parameter can be used for saving the computational cost by allowing the use of a coarse mesh. On the other hand, a sufficiently small length-scale parameter can be selected to prevent overly diffusive damage, making it possible for the proposed phase-field model to simulate the fracture behaviour with Γ-convergence.
dc.language	English
dc.publisher	SPRINGER
dc.relation	http://purl.org/au-research/grants/arc/DP190103752
dc.relation	University of Technology Sydney
dc.relation.ispartof	Computational Mechanics
dc.relation.isbasedon	10.1007/s00466-020-01887-1
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	0905 Civil Engineering, 0913 Mechanical Engineering, 0915 Interdisciplinary Engineering
dc.subject.classification	Applied Mathematics
dc.title	Phase field fracture in elasto-plastic solids: a length-scale insensitive model for quasi-brittle materials
dc.type	Journal Article
utslib.citation.volume	66
utslib.for	0905 Civil Engineering
utslib.for	0913 Mechanical Engineering
utslib.for	0915 Interdisciplinary 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
pubs.organisational-group	/University of Technology Sydney/Strength - CBI - Centre for Built Infrastructure
utslib.copyright.status	closed_access	*
dc.date.updated	2021-03-28T00:40:01Z
pubs.issue	4
pubs.publication-status	Published
pubs.volume	66
utslib.citation.issue	4

Abstract:

Phase-field methods for fracture have been integrated with plasticity for better describing constitutive behaviours. In most of the previous phase-field models, however, the length-scale parameter must be interpreted as a material property in order to match the material strength in experiments. This study presents a phase-field model for fracture coupled with plasticity for quasi-brittle materials with emphasis on insensitivity of the length-scale parameter. The proposed model is formulated using variational principles and implemented numerically in the finite element framework. The effective yield stress is calibrated to vary with the length-scale parameter such that the tensile strength remains the same. Moreover, semi-analytical solutions are derived to demonstrate that the length-scale parameter has a negligible effect on the stress–displacement curve. Five representative examples are considered here to validate the phase-field model for fracture in quasi-brittle materials. The simulated force–displacement curves and crack paths agree well with the corresponding experimental results. Importantly, it is found that the global structural response is insensitive to the length scale though it may influence the size of the failure zone. In most cases, a large length-scale parameter can be used for saving the computational cost by allowing the use of a coarse mesh. On the other hand, a sufficiently small length-scale parameter can be selected to prevent overly diffusive damage, making it possible for the proposed phase-field model to simulate the fracture behaviour with Γ-convergence.

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http://hdl.handle.net/10453/147556