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Continuous/discontinuous finite element modelling of Kirchhoff plate structures in R3 using tangential differential calculus
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2017 (English)In: Computational Mechanics, ISSN 0178-7675, E-ISSN 1432-0924, Vol. 60, no 4, p. 693-702Article in journal (Refereed) Published
Abstract [en]

We employ surface differential calculus to derive models for Kirchhoff plates including in-plane membrane deformations. We also extend our formulation to structures of plates. For solving the resulting set of partial differential equations, we employ a finite element method based on elements that are continuous for the displacements and discontinuous for the rotations, using -elements for the discretisation of the plate as well as for the membrane deformations. Key to the formulation of the method is a convenient definition of jumps and averages of forms that are d-linear in terms of the element edge normals.

Place, publisher, year, edition, pages
Springer, 2017. Vol. 60, no 4, p. 693-702
Keywords [en]
Tangential differential calculus, Kirchhoff plate, Plate structure
National Category
Applied Mechanics Computational Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-141985DOI: 10.1007/s00466-017-1431-2ISI: 000414148300011OAI: oai:DiVA.org:umu-141985DiVA, id: diva2:1163177
Available from: 2017-12-06 Created: 2017-12-06 Last updated: 2018-06-09Bibliographically approved

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Larson, Mats G.
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CiteExportLink to record
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Citation style
  • apa
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