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Continuous/discontinuous finite element modelling of Kirchhoff plate structures in R3 using tangential differential calculus
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, Umeå, Sweden.
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 (Formula presented.)-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]
Kirchhoff plate, Plate structure, Tangential differential calculus, Calculations, Deformation, Finite element method, Plates (structural components), Discretisation, Element edge, Finite element modelling, Kirchhoff plates, Differentiation (calculus)
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:hj:diva-36744DOI: 10.1007/s00466-017-1431-2ISI: 000414148300011Scopus ID: 2-s2.0-85021200858OAI: oai:DiVA.org:hj-36744DiVA, id: diva2:1127893
Available from: 2017-07-20 Created: 2017-07-20 Last updated: 2017-12-21Bibliographically approved

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Hansbo, Peter

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  • apa
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