A new multiscale topology optimization method for multiphase composite structures of frequency response with level sets

Li, H; Luo, Z; Xiao, M; Gao, L; Gao, J

A new multiscale topology optimization method for multiphase composite structures of frequency response with level sets

Li, H Luo, Z

Xiao, M Gao, L Gao, J

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Publication Type:: Journal Article
Citation:: Computer Methods in Applied Mechanics and Engineering, 2019, 356 pp. 116 - 144
Issue Date:: 2019-11-01

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Field	Value	Language
dc.contributor.author	Li, H	en_US
dc.contributor.author	Luo, Z https://orcid.org/0000-0002-6953-3986	en_US
dc.contributor.author	Xiao, M	en_US
dc.contributor.author	Gao, L	en_US
dc.contributor.author	Gao, J https://orcid.org/0000-0002-4760-2768	en_US
dc.date.accessioned	2020-04-16T07:07:25Z
dc.date.available	2020-04-16T07:07:25Z
dc.date.issued	2019-11-01	en_US
dc.identifier.citation	Computer Methods in Applied Mechanics and Engineering, 2019, 356 pp. 116 - 144	en_US
dc.identifier.issn	0045-7825	en_US
dc.identifier.uri	http://hdl.handle.net/10453/140042
dc.description.abstract	© 2019 Elsevier B.V. This paper proposes a new multiscale topology optimization method for the concurrent design of multiphase composite structures under a certain range of excitation frequencies. Distinguished from the existed studies, a general concurrent design formulation for the dynamic composite structures with more than two material phases is developed. The macrostructureand its microstructures with multiple material phases are optimized simultaneously. The integral of the dynamic compliances over an interval of frequencies is formulated as the optimization objective, so as to minimize the frequency response within the concerned excitation range. The effective properties of the multiphase microstructures are evaluated by using the numerical homogenization method, which actually serves as a link to bridge the macro and micro finite element analyses. Furthermore, to describe the boundaries of multiple material phases for the microstructure, a parametric color level set method (PCLSM) is developed by using an efficient interpolation scheme. In this way, L level set functions can represent at most 2L material phases without any overlaps. Moreover, these “color” level sets are updated by directly using the well-established gradient-based algorithm, which can greatly facilitate the proposed method to solve the multi-material optimizations with multiple design constraints. Several 2D and 3D numerical examples are used to demonstrate the effectiveness of the proposed method in the concurrent design of the dynamic composite structures under the excitation frequency ranges.	en_US
dc.relation.ispartof	Computer Methods in Applied Mechanics and Engineering	en_US
dc.relation.isbasedon	10.1016/j.cma.2019.07.020	en_US
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject.classification	Applied Mathematics	en_US
dc.title	A new multiscale topology optimization method for multiphase composite structures of frequency response with level sets	en_US
dc.type	Journal Article
utslib.citation.volume	356	en_US
utslib.for	091307 Numerical Modelling and Mechanical Characterisation	en_US
utslib.for	01 Mathematical Sciences	en_US
utslib.for	09 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 Mechanical and Mechatronic Engineering
pubs.organisational-group	/University of Technology Sydney/Students
utslib.copyright.status	closed_access	*
pubs.publication-status	Published	en_US
pubs.volume	356	en_US

Abstract:

© 2019 Elsevier B.V. This paper proposes a new multiscale topology optimization method for the concurrent design of multiphase composite structures under a certain range of excitation frequencies. Distinguished from the existed studies, a general concurrent design formulation for the dynamic composite structures with more than two material phases is developed. The macrostructureand its microstructures with multiple material phases are optimized simultaneously. The integral of the dynamic compliances over an interval of frequencies is formulated as the optimization objective, so as to minimize the frequency response within the concerned excitation range. The effective properties of the multiphase microstructures are evaluated by using the numerical homogenization method, which actually serves as a link to bridge the macro and micro finite element analyses. Furthermore, to describe the boundaries of multiple material phases for the microstructure, a parametric color level set method (PCLSM) is developed by using an efficient interpolation scheme. In this way, L level set functions can represent at most 2L material phases without any overlaps. Moreover, these “color” level sets are updated by directly using the well-established gradient-based algorithm, which can greatly facilitate the proposed method to solve the multi-material optimizations with multiple design constraints. Several 2D and 3D numerical examples are used to demonstrate the effectiveness of the proposed method in the concurrent design of the dynamic composite structures under the excitation frequency ranges.

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http://hdl.handle.net/10453/140042