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A simple approach for finite element simulation of reinforced plates

Burman, E; Hansbo, P; Larson, MG; (2018) A simple approach for finite element simulation of reinforced plates. Finite Elements in Analysis and Design , 142 pp. 51-60. 10.1016/j.finel.2018.01.001. Green open access

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Abstract

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.

Type: Article
Title: A simple approach for finite element simulation of reinforced plates
Open access status: An open access version is available from UCL Discovery
DOI: 10.1016/j.finel.2018.01.001
Publisher version: https://doi.org/10.1016/j.finel.2018.01.001
Language: English
Additional information: © 2018 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
Keywords: Cut finite element method, Discontinuous Galerkin, Kirchhoff–Love plate, Euler–Bernoulli beam, Reinforced plate
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/1561707
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