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Multi-scale topology optimization of structures with multi-material microstructures using stiffness and mass design criteria

dc.contributor.authorConde, Fábio M.
dc.contributor.authorCoelho, Pedro G.
dc.contributor.authorGuedes, José M.
dc.contributor.institutionDEMI - Departamento de Engenharia Mecânica e Industrial
dc.contributor.institutionUNIDEMI - Unidade de Investigação e Desenvolvimento em Engenharia Mecânica e Industrial
dc.contributor.pblElsevier Science Publisher B.V.
dc.date.accessioned2024-09-24T22:23:22Z
dc.date.available2024-09-24T22:23:22Z
dc.date.issued2024-01
dc.descriptionPublisher Copyright: © 2023 The Author(s)
dc.description.abstractNowadays, there is a great interest on the part of the automotive and aerospace industry to design environmentally-friendly structures. To that purpose, stiffness-oriented designs are proposed here by extending previous work on multi-scale topology optimization to the multi-material setting reformulating the problem to include appropriately mass constraints and discussing different design domain parametrizations and algorithmic strategies. On the macroscale, the problem of minimizing the compliance subject to a global mass constraint is addressed. On the microstructure scale, the multi-material design is carried out by solving the problem of minimizing the local complementary strain energy density with mass density constraint. As a result, very efficient structures composed of spatially varying porous and multi-material microstructures are obtained. The optimal design of the multi-material microstructure can be done either in a pointwise manner or in larger subdomains, to promote design uniformity. These parametrizations are here compared and discussed. Moreover, two different algorithmic strategies to solve the multi-scale problem are proposed, and their pros and cons discussed. They differ in the way the macro and micro design variables are related and updated. The macro design variables consider the mass density distribution along the structure, while the micro variables define the microstructure's topology using a multi-material SIMP interpolation scheme. The results show very efficient structures with locally optimized multi-material microstructures, which can outperform their single-material counterparts with regards to stiffness while maintaining the same mass. Additionally, the maximum stress verified on multi-material structures tends to be lower than the one obtained in the single-material counterparts.en
dc.description.versionpublishersversion
dc.description.versionpublished
dc.format.extent14
dc.format.extent3573204
dc.identifier.doi10.1016/j.advengsoft.2023.103566
dc.identifier.issn0965-9978
dc.identifier.otherPURE: 99694149
dc.identifier.otherPURE UUID: a9c04ef9-acbd-45da-9b0a-a71ea9da6128
dc.identifier.otherScopus: 85178167949
dc.identifier.otherWOS: 001135039000001
dc.identifier.urihttp://hdl.handle.net/10362/172333
dc.identifier.urlhttps://www.scopus.com/pages/publications/85178167949
dc.language.isoeng
dc.peerreviewedyes
dc.relationinfo:eu-repo/grantAgreement/FCT/Concurso de avaliação no âmbito do Programa Plurianual de Financiamento de Unidades de I&D (2017%2F2018) - Financiamento Base/UIDB%2F00667%2F2020/PT
dc.relationinfo:eu-repo/grantAgreement/FCT/Concurso de avaliação no âmbito do Programa Plurianual de Financiamento de Unidades de I&D (2017%2F2018) - Financiamento Programático/UIDP%2F00667%2F2020/PT
dc.relationinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F50022%2F2020/PT
dc.relationAssociate Laboratory of Energy, Transports and Aeronautics
dc.relationTopology optimization and metal additive manufacturing unified to obtain functionally graded material structures
dc.relationinfo:eu-repo/grantAgreement/FCT/OE/SFRH%2FBD%2F136744%2F2018/PT
dc.subjectComposites
dc.subjectMulti-material
dc.subjectMulti-scale
dc.subjectOptimization
dc.subjectStiffness
dc.subjectTopology
dc.subjectSoftware
dc.subjectGeneral Engineering
dc.titleMulti-scale topology optimization of structures with multi-material microstructures using stiffness and mass design criteriaen
dc.typejournal article
degois.publication.titleAdvances in Engineering Software
degois.publication.volume187
dspace.entity.typePublication
oaire.awardNumberUIDB/00667/2020
oaire.awardNumberUIDP/00667/2020
oaire.awardNumberUIDB/50022/2020
oaire.awardNumber2022.06903.PTDC
oaire.awardNumberSFRH/BD/136744/2018
oaire.awardTitleAssociate Laboratory of Energy, Transports and Aeronautics
oaire.awardTitleTopology optimization and metal additive manufacturing unified to obtain functionally graded material structures
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/Concurso de avaliação no âmbito do Programa Plurianual de Financiamento de Unidades de I&D (2017%2F2018) - Financiamento Base/UIDB%2F00667%2F2020/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/Concurso de avaliação no âmbito do Programa Plurianual de Financiamento de Unidades de I&D (2017%2F2018) - Financiamento Programático/UIDP%2F00667%2F2020/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F50022%2F2020/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/Concurso de Projetos de I&D em Todos os Domínios Científicos - 2022/2022.06903.PTDC/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/OE/SFRH%2FBD%2F136744%2F2018/PT
oaire.fundingStreamConcurso de avaliação no âmbito do Programa Plurianual de Financiamento de Unidades de I&D (2017/2018) - Financiamento Base
oaire.fundingStreamConcurso de avaliação no âmbito do Programa Plurianual de Financiamento de Unidades de I&D (2017/2018) - Financiamento Programático
oaire.fundingStream6817 - DCRRNI ID
oaire.fundingStreamConcurso de Projetos de I&D em Todos os Domínios Científicos - 2022
oaire.fundingStreamOE
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