Level-set topology optimization for maximizing fracture resistance of brittle materials using phase-field fracture model

Wu, C; Fang, J; Zhou, S; Zhang, Z; Sun, G; Steven, GP; Li, Q

Level-set topology optimization for maximizing fracture resistance of brittle materials using phase-field fracture model

Wu, C Fang, J

Zhou, S Zhang, Z Sun, G Steven, GP Li, Q

Permalink

Publisher:: WILEY
Publication Type:: Journal Article
Citation:: International Journal for Numerical Methods in Engineering, 2020, 121, (13), pp. 2929-2945
Issue Date:: 2020-07-15

Closed Access

	Filename	Description	Size
	nme.6340.pdf	Published version	3.07 MB	Adobe PDF	View/Open

Copyright Clearance Process

Recently Added
In Progress
Closed Access

This item is closed access and not available.

Full metadata record

Field	Value	Language
dc.contributor.author	Wu, C
dc.contributor.author	Fang, J https://orcid.org/0000-0003-0119-6108
dc.contributor.author	Zhou, S
dc.contributor.author	Zhang, Z
dc.contributor.author	Sun, G
dc.contributor.author	Steven, GP
dc.contributor.author	Li, Q
dc.date.accessioned	2021-02-26T19:44:09Z
dc.date.available	2021-02-26T19:44:09Z
dc.date.issued	2020-07-15
dc.identifier.citation	International Journal for Numerical Methods in Engineering, 2020, 121, (13), pp. 2929-2945
dc.identifier.issn	0029-5981
dc.identifier.issn	1097-0207
dc.identifier.uri	http://hdl.handle.net/10453/146496
dc.description.abstract	© 2020 John Wiley & Sons, Ltd. Fracture is one of the most common failure modes in brittle materials. It can drastically decrease material integrity and structural strength. To address this issue, we propose a level-set (LS) based topology optimization procedure to optimize the distribution of reinforced inclusions within matrix materials subject to the volume constraint for maximizing structural resistance to fracture. A phase-field fracture model is formulated herein to simulate crack initiation and propagation, in which a staggered algorithm is developed to solve such time-dependent crack propagation problems. In line with diffusive damage of the phase-field approach for fracture; topological derivatives, which provide gradient information for the topology optimization in a LS framework, are derived for fracture mechanics problems. A reaction-diffusion equation is adopted to update the LS function within a finite element framework. This avoids the reinitialization by overcoming the limitation to time step with the Courant-Friedrichs-Lewy condition. In this article, three numerical examples, namely, a L-shaped section, a rectangular slab with predefined cracks, and an all-ceramic onlay dental bridge (namely, fixed partial denture), are presented to demonstrate the effectiveness of the proposed LS based topology optimization for enhancing fracture resistance of multimaterial composite structures in a phase-field fracture context.
dc.language	English
dc.publisher	WILEY
dc.relation	University of Technology Sydney
dc.relation.ispartof	International Journal for Numerical Methods in Engineering
dc.relation.isbasedon	10.1002/nme.6340
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	09 Engineering
dc.subject.classification	Applied Mathematics
dc.title	Level-set topology optimization for maximizing fracture resistance of brittle materials using phase-field fracture model
dc.type	Journal Article
utslib.citation.volume	121
utslib.for	09 Engineering
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
utslib.copyright.status	closed_access	*
dc.date.updated	2021-02-26T19:44:05Z
pubs.issue	13
pubs.publication-status	Published
pubs.volume	121
utslib.citation.issue	13

Abstract:

© 2020 John Wiley & Sons, Ltd. Fracture is one of the most common failure modes in brittle materials. It can drastically decrease material integrity and structural strength. To address this issue, we propose a level-set (LS) based topology optimization procedure to optimize the distribution of reinforced inclusions within matrix materials subject to the volume constraint for maximizing structural resistance to fracture. A phase-field fracture model is formulated herein to simulate crack initiation and propagation, in which a staggered algorithm is developed to solve such time-dependent crack propagation problems. In line with diffusive damage of the phase-field approach for fracture; topological derivatives, which provide gradient information for the topology optimization in a LS framework, are derived for fracture mechanics problems. A reaction-diffusion equation is adopted to update the LS function within a finite element framework. This avoids the reinitialization by overcoming the limitation to time step with the Courant-Friedrichs-Lewy condition. In this article, three numerical examples, namely, a L-shaped section, a rectangular slab with predefined cracks, and an all-ceramic onlay dental bridge (namely, fixed partial denture), are presented to demonstrate the effectiveness of the proposed LS based topology optimization for enhancing fracture resistance of multimaterial composite structures in a phase-field fracture context.

Please use this identifier to cite or link to this item:

http://hdl.handle.net/10453/146496