Concurrent topology optimization of multiscale composite structures in Matlab

Gao, J; Luo, Z; Xia, L; Gao, L

Concurrent topology optimization of multiscale composite structures in Matlab

Gao, J

Luo, Z

Xia, L Gao, L

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Publication Type:: Journal Article
Citation:: Structural and Multidisciplinary Optimization, 2019, 60 (6), pp. 2621 - 2651
Issue Date:: 2019-12-01

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Field	Value	Language
dc.contributor.author	Gao, J https://orcid.org/0000-0002-4760-2768	en_US
dc.contributor.author	Luo, Z https://orcid.org/0000-0002-6953-3986	en_US
dc.contributor.author	Xia, L	en_US
dc.contributor.author	Gao, L https://orcid.org/0000-0002-1485-0722	en_US
dc.date.issued	2019-12-01	en_US
dc.identifier.citation	Structural and Multidisciplinary Optimization, 2019, 60 (6), pp. 2621 - 2651	en_US
dc.identifier.issn	1615-147X	en_US
dc.identifier.uri	http://hdl.handle.net/10453/137571
dc.description.abstract	© 2019, Springer-Verlag GmbH Germany, part of Springer Nature. This paper presents the compact and efficient Matlab codes for the concurrent topology optimization of multiscale composite structures not only in 2D scenario but also considering 3D cases. A modified SIMP approach (Sigmund 2007) is employed to implement the concurrent topological design, with an energy-based homogenization method (EBHM) to evaluate the macroscopic effective properties of the microstructure. The 2D and 3D Matlab codes in the paper are developed, using the 88-line 2D SIMP code (Struct Multidisc Optim 43(1): 1–16, 2011) and the 169-line 3D topology optimization code (Struct Multidisc Optim 50(6): 1175–1196, 2014), respectively. This paper mainly contributes to the following four aspects: (1) the code architecture for the topology optimization of cellular composite structures (ConTop2D.m and ConTop3D.m), (2) the code to compute the 3D iso-parametric element stiffness matrix (elementMatVec3D.m), (3) the EBHM to predict the macroscopic effective properties of 2D and 3D material microstructures (EBHM2D.m and EBHM3D.m), and (4) the code to calculate the sensitivities of the objective function with respect to the design variables at two scales. Several numerical examples are tested to demonstrate the effectiveness of the Matlab codes, which are attached in the Appendix, also offering an entry point for new comers in designing cellular composites using topology optimization.	en_US
dc.relation.ispartof	Structural and Multidisciplinary Optimization	en_US
dc.relation.isbasedon	10.1007/s00158-019-02323-6	en_US
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject.classification	Design Practice & Management	en_US
dc.title	Concurrent topology optimization of multiscale composite structures in Matlab	en_US
dc.type	Journal Article
utslib.citation.volume	6	en_US
utslib.citation.volume	60	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.issue	6	en_US
pubs.publication-status	Published	en_US
pubs.volume	60	en_US

Abstract:

© 2019, Springer-Verlag GmbH Germany, part of Springer Nature. This paper presents the compact and efficient Matlab codes for the concurrent topology optimization of multiscale composite structures not only in 2D scenario but also considering 3D cases. A modified SIMP approach (Sigmund 2007) is employed to implement the concurrent topological design, with an energy-based homogenization method (EBHM) to evaluate the macroscopic effective properties of the microstructure. The 2D and 3D Matlab codes in the paper are developed, using the 88-line 2D SIMP code (Struct Multidisc Optim 43(1): 1–16, 2011) and the 169-line 3D topology optimization code (Struct Multidisc Optim 50(6): 1175–1196, 2014), respectively. This paper mainly contributes to the following four aspects: (1) the code architecture for the topology optimization of cellular composite structures (ConTop2D.m and ConTop3D.m), (2) the code to compute the 3D iso-parametric element stiffness matrix (elementMatVec3D.m), (3) the EBHM to predict the macroscopic effective properties of 2D and 3D material microstructures (EBHM2D.m and EBHM3D.m), and (4) the code to calculate the sensitivities of the objective function with respect to the design variables at two scales. Several numerical examples are tested to demonstrate the effectiveness of the Matlab codes, which are attached in the Appendix, also offering an entry point for new comers in designing cellular composites using topology optimization.

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http://hdl.handle.net/10453/137571