Numerical evaluation of the phase-field model for brittle fracture with emphasis on the length scale

Zhang, X; Vignes, C; Sloan, SW; Sheng, D

Numerical evaluation of the phase-field model for brittle fracture with emphasis on the length scale

Zhang, X Vignes, C Sloan, SW Sheng, D

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Publisher:: Springer
Publication Type:: Journal Article
Citation:: Computational Mechanics, 2017, 59, (5), pp. 737-752
Issue Date:: 2017-05-01

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Field	Value	Language
dc.contributor.author	Zhang, X
dc.contributor.author	Vignes, C
dc.contributor.author	Sloan, SW
dc.contributor.author	Sheng, D https://orcid.org/0000-0002-1665-6931
dc.date.accessioned	2022-08-26T00:32:38Z
dc.date.available	2022-08-26T00:32:38Z
dc.date.issued	2017-05-01
dc.identifier.citation	Computational Mechanics, 2017, 59, (5), pp. 737-752
dc.identifier.issn	0178-7675
dc.identifier.issn	1432-0924
dc.identifier.uri	http://hdl.handle.net/10453/160884
dc.description.abstract	The phase-field model has been attracting considerable attention due to its capability of capturing complex crack propagations without mesh dependence. However, its validation studies have primarily focused on the ability to predict reasonable, sharply defined crack paths. Very limited works have so far been contributed to estimate its accuracy in predicting force responses, which is majorly attributed to the difficulty in the determination of the length scale. Indeed, accurate crack path simulation can be achieved by setting the length scale to be sufficiently small, whereas a very small length scale may lead to unrealistic force-displacement responses and overestimate critical structural loads. This paper aims to provide a critical numerical investigation of the accuracy of phase-field modelling of brittle fracture with special emphasis on a possible formula for the length scale estimation. Phase-field simulations of a number of classical fracture experiments for brittle fracture in concretes are performed with simulated results compared with experimental data qualitatively and quantitatively to achieve this goal. Furthermore, discussions are conducted with the aim to provide guidelines for the application of the phase-field model.
dc.language	English
dc.publisher	Springer
dc.relation.ispartof	Computational Mechanics
dc.relation.isbasedon	10.1007/s00466-017-1373-8
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	Numerical evaluation of the phase-field model for brittle fracture with emphasis on the length scale
dc.type	Journal Article
utslib.citation.volume	59
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
utslib.copyright.status	closed_access	*
pubs.consider-herdc	false
dc.date.updated	2022-08-26T00:32:34Z
pubs.issue	5
pubs.publication-status	Published
pubs.volume	59
utslib.citation.issue	5

Abstract:

The phase-field model has been attracting considerable attention due to its capability of capturing complex crack propagations without mesh dependence. However, its validation studies have primarily focused on the ability to predict reasonable, sharply defined crack paths. Very limited works have so far been contributed to estimate its accuracy in predicting force responses, which is majorly attributed to the difficulty in the determination of the length scale. Indeed, accurate crack path simulation can be achieved by setting the length scale to be sufficiently small, whereas a very small length scale may lead to unrealistic force-displacement responses and overestimate critical structural loads. This paper aims to provide a critical numerical investigation of the accuracy of phase-field modelling of brittle fracture with special emphasis on a possible formula for the length scale estimation. Phase-field simulations of a number of classical fracture experiments for brittle fracture in concretes are performed with simulated results compared with experimental data qualitatively and quantitatively to achieve this goal. Furthermore, discussions are conducted with the aim to provide guidelines for the application of the phase-field model.

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http://hdl.handle.net/10453/160884