A path-dependent level set topology optimization with fracture criterion

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

A path-dependent level set topology optimization with fracture criterion

Wu, C Fang, J

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

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Publisher:: PERGAMON-ELSEVIER SCIENCE LTD
Publication Type:: Journal Article
Citation:: Computers and Structures, 2021, 249
Issue Date:: 2021-06-01

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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	2022-02-25T22:50:54Z
dc.date.available	2022-02-25T22:50:54Z
dc.date.issued	2021-06-01
dc.identifier.citation	Computers and Structures, 2021, 249
dc.identifier.issn	0045-7949
dc.identifier.issn	1879-2243
dc.identifier.uri	http://hdl.handle.net/10453/154862
dc.description.abstract	In this paper, a recently-developed phase-field damage model is incorporated into the topology optimization framework to take into account crack initiation and propagation in a path-dependent fashion. The proposed topological design can enhance fracture resistance of structures made of brittle materials such as advanced ceramics. For the first time, a path-dependent shape derivative is developed in a step-wise manner during the nonlinear fracture analysis, which enables to drive the topology optimization properly. To measure the fracture resistance of structure, a p-norm function is formulated to aggregate the phase-field variables into a single constraint. To demonstrate the effectiveness of the presented topology optimization procedure, three 2D benchmark examples with single-phasic material and one 3D biomedical example with biphasic materials are studied here. The comparison with the topological designs based upon conventional linear elastic finite element analysis without the damage model indicates that the proposed method can significantly improve the fracture resistance of structures with more efficient use of materials. The proposed method is anticipated to provide an effective approach for sophisticated path-dependent topological design of structures reducing severe stress concentration and high risks of fracture failure.
dc.language	English
dc.publisher	PERGAMON-ELSEVIER SCIENCE LTD
dc.relation.ispartof	Computers and Structures
dc.relation.isbasedon	10.1016/j.compstruc.2021.106515
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	09 Engineering
dc.subject.classification	Applied Mathematics
dc.title	A path-dependent level set topology optimization with fracture criterion
dc.type	Journal Article
utslib.citation.volume	249
utslib.for	09 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	*
dc.date.updated	2022-02-25T22:50:51Z
pubs.publication-status	Published
pubs.volume	249

Abstract:

In this paper, a recently-developed phase-field damage model is incorporated into the topology optimization framework to take into account crack initiation and propagation in a path-dependent fashion. The proposed topological design can enhance fracture resistance of structures made of brittle materials such as advanced ceramics. For the first time, a path-dependent shape derivative is developed in a step-wise manner during the nonlinear fracture analysis, which enables to drive the topology optimization properly. To measure the fracture resistance of structure, a p-norm function is formulated to aggregate the phase-field variables into a single constraint. To demonstrate the effectiveness of the presented topology optimization procedure, three 2D benchmark examples with single-phasic material and one 3D biomedical example with biphasic materials are studied here. The comparison with the topological designs based upon conventional linear elastic finite element analysis without the damage model indicates that the proposed method can significantly improve the fracture resistance of structures with more efficient use of materials. The proposed method is anticipated to provide an effective approach for sophisticated path-dependent topological design of structures reducing severe stress concentration and high risks of fracture failure.

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http://hdl.handle.net/10453/154862