Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
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, 1-10 p.Article in journal (Refereed) Epub ahead of print
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. 1-10 p.
Keyword [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/s00466-017-1431-2Scopus ID: 2-s2.0-85021200858OAI: oai:DiVA.org:hj-36744DiVA: diva2:1127893
Available from: 2017-07-20 Created: 2017-07-20 Last updated: 2017-07-20

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Hansbo, Peter
By organisation
JTH, Product DevelopmentJTH. Research area Product Development - Simulation and Optimization
In the same journal
Computational Mechanics
Computational Mathematics

Search outside of DiVA

GoogleGoogle Scholar

Altmetric score

Total: 874 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf