On a cellular developmental method for layout optimization via the two-point topological derivative

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dc.contributor.authorKobayashi, Marcelo H.en
dc.contributor.authorCanfield, Robert A.en
dc.contributor.authorKolonay, Raymond M.en
dc.date.accessioned2023-02-27T16:12:00Zen
dc.date.available2023-02-27T16:12:00Zen
dc.date.issued2021-07-14en
dc.date.updated2023-02-26T23:39:28Zen
dc.description.abstractThis paper introduces a two-point topological derivative for elasticity and a cellular developmental method for layout optimization of structures. The two-point derivative measures the change on a functional due to the addition of a thin ligament between parts of the domain. It contrasts with the existing single-point topological derivatives that measure the change of a functional due to the subtraction of material. Based on the two-point topological derivative, a cellular developmental method is presented, which builds the layout of a structure in a sequence of cellular divisions and cellular dynamics developmental cycles. The methodology introduced in this work can easily account for member sizes and angle constraints among members of the frame, and the optimization can be performed in the free space or in a bounded domain. Benchmark problems are solved to demonstrate the capability of the cellular developmental method to solve optimization problems in structural mechanics.en
dc.description.versionPublished versionen
dc.format.extentPages 2343-2360en
dc.format.extent18 page(s)en
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1007/s00158-021-02986-0en
dc.identifier.eissn1615-1488en
dc.identifier.issn1615-147Xen
dc.identifier.issue4en
dc.identifier.orcidCanfield, Robert [0000-0003-3679-2815]en
dc.identifier.urihttp://hdl.handle.net/10919/113980en
dc.identifier.volume64en
dc.language.isoenen
dc.publisherSpringeren
dc.relation.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000673532800003&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=930d57c9ac61a043676db62af60056c1en
dc.rightsPublic Domain (U.S.)en
dc.rights.urihttp://creativecommons.org/publicdomain/mark/1.0/en
dc.subjectTopological derivativeen
dc.subjectTopology optimizationen
dc.subjectStructural optimizationen
dc.subjectCellular developmental methoden
dc.subjectSENSITIVITY-ANALYSISen
dc.subjectSHAPE OPTIMIZATIONen
dc.titleOn a cellular developmental method for layout optimization via the two-point topological derivativeen
dc.title.serialStructural and Multidisciplinary Optimizationen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten
dc.type.otherArticleen
dc.type.otherJournalen
pubs.organisational-group/Virginia Techen
pubs.organisational-group/Virginia Tech/Engineeringen
pubs.organisational-group/Virginia Tech/Engineering/Aerospace and Ocean Engineeringen
pubs.organisational-group/Virginia Tech/All T&R Facultyen
pubs.organisational-group/Virginia Tech/Engineering/COE T&R Facultyen

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