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Cut topology optimization for linear elasticity with coupling to parametric nondesign domain regions
University College London, UK, Department of Mathematics.
Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för matematik och matematisk statistik.ORCID-id: 0000-0002-1710-8494
Jönköping University, School of Engineering, JTH, Product Development.ORCID-id: 0000-0001-7352-1550
Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för matematik och matematisk statistik.ORCID-id: 0000-0001-5589-4521
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2019 (Engelska)Ingår i: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 350, s. 462-479Artikel i tidskrift (Refereegranskat) Published
Abstract [en]

We develop a density based topology optimization method for linear elasticity based on the cut finite element method. More precisely, the design domain is discretized using cut finite elements which allow complicated geometry to be represented on a structured fixed background mesh. The geometry of the design domain is allowed to cut through the background mesh in an arbitrary way and certain stabilization terms are added in the vicinity of the cut boundary, which guarantee stability of the method. Furthermore, in addition to standard Dirichlet and Neumann conditions we consider interface conditions enabling coupling of the design domain to parts of the structure for which the design is already given. These given parts of the structure, called the nondesign domain regions, typically represents parts of the geometry provided by the designer. The nondesign domain regions may be discretized independently from the design domains using for example parametric meshed finite elements or isogeometric analysis. The interface and Dirichlet conditions are based on Nitsche's method and are stable for the full range of density parameters. In particular we obtain a traction-free Neumann condition in the limit when the density tends to zero.

Ort, förlag, år, upplaga, sidor
Elsevier, 2019. Vol. 350, s. 462-479
Nyckelord [en]
Material distribution topology optimization, Design and nondesign domain regions, Cut finite element method
Nationell ämneskategori
Beräkningsmatematik
Identifikatorer
URN: urn:nbn:se:umu:diva-157679DOI: 10.1016/j.cma.2019.03.016ISI: 000468163500019OAI: oai:DiVA.org:umu-157679DiVA, id: diva2:1300682
Forskningsfinansiär
Vetenskapsrådet, 2013-4708Vetenskapsrådet, 2017-03911Vetenskapsrådet, 2018-05262Stiftelsen för strategisk forskning (SSF), AM13-0029eSSENCE - An eScience Collaboration, -Tillgänglig från: 2019-03-29 Skapad: 2019-03-29 Senast uppdaterad: 2019-06-11Bibliografiskt granskad

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Elfverson, DanielLarson, Mats G.Larsson, Karl

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Elfverson, DanielHansbo, PeterLarson, Mats G.Larsson, Karl
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Institutionen för matematik och matematisk statistik
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Computer Methods in Applied Mechanics and Engineering
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