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A simple approach for finite element simulation of reinforced plates
Department of Mathematics, University College London, London, United Kingdom.
Jönköping University, School of Engineering, JTH, Product Development. Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.ORCID iD: 0000-0001-7352-1550
Department of Mathematics and Mathematical Statistics, Umeå University, Sweden.
2018 (English)In: Finite elements in analysis and design (Print), ISSN 0168-874X, E-ISSN 1872-6925, Vol. 142, p. 51-60Article in journal (Refereed) Published
Abstract [en]

We present a new approach for adding Bernoulli beam reinforcements to Kirchhoff plates. The plate is discretised using a continuous/discontinuous finite element method based on standard continuous piecewise polynomial finite element spaces. The beams are discretised by the CutFEM technique of letting the basis functions of the plate represent also the beams which are allowed to pass through the plate elements. This allows for a fast and easy way of assessing where the plate should be supported, for instance, in an optimization loop.

Place, publisher, year, edition, pages
Elsevier, 2018. Vol. 142, p. 51-60
Keywords [en]
Cut finite element method, Discontinuous Galerkin, Euler–Bernoulli beam, Kirchhoff–Love plate, Reinforced plate, Galerkin methods, Plates (structural components), Reinforcement, Bernoulli, Finite element simulations, Finite element space, Kirchhoff, Optimization loop, Piecewise polynomials, Finite element method
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:hj:diva-38885DOI: 10.1016/j.finel.2018.01.001ISI: 000424941600005Scopus ID: 2-s2.0-85041447903Local ID: JTHProduktutvecklingISOAI: oai:DiVA.org:hj-38885DiVA, id: diva2:1184240
Available from: 2018-02-20 Created: 2018-02-20 Last updated: 2018-03-02Bibliographically approved

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Hansbo, Peter

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Citation style
  • apa
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