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
Symmetry aspects in stability investigations for thin membranes
KTH, School of Engineering Sciences (SCI), Mechanics, Structural Mechanics.ORCID iD: 0000-0002-5819-4544
KTH, School of Engineering Sciences (SCI), Mechanics.
2016 (English)In: Computational Mechanics, ISSN 0178-7675, E-ISSN 1432-0924, Vol. 58, no 5, 747-767 p.Article in journal (Refereed) Published
Abstract [en]

Modelling of structural instability problems is considered for thin square membranes subjected to hydrostatic pressure, with a focus on the effects from symmetry conditions considered or neglected in the model. An analysis is performed through group-theoretical concepts of the symmetry aspects present in a flat membrane with one-sided pressure loading. The response of the membrane is described by its inherent differential eigensolutions, which are shown to be of five different types with respect to symmetry. A discussion is given on how boundary conditions must be introduced in order to catch all types of eigensolutions when modelling only a subdomain of the whole. Lacking symmetry in a FEM model of the whole domain is seen as a perturbation to the problem, and is shown to affect the calculated instability response, hiding or modifying instability modes. Numerical simulations verify and illustrate the analytical results, and further show the convergence with mesh fineness of different aspects of instability results.

Place, publisher, year, edition, pages
Springer, 2016. Vol. 58, no 5, 747-767 p.
Keyword [en]
Bifurcation, Boundary conditions, Group theory, Meshing, Symmetry-breaking, Bifurcation (mathematics), Eigenvalues and eigenfunctions, Hydrostatic pressure, Stability, Analytical results, Instability modes, Pressure loading, Square membranes, Structural instability, Symmetry conditions
National Category
Applied Mechanics
Identifiers
URN: urn:nbn:se:kth:diva-195225DOI: 10.1007/s00466-016-1317-8ISI: 000385167200003Scopus ID: 2-s2.0-84982806177OAI: oai:DiVA.org:kth-195225DiVA: diva2:1047363
Note

QC 20161117

Available from: 2016-11-17 Created: 2016-11-02 Last updated: 2016-11-17Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Authority records BETA

Eriksson, AndersNordmark, Arne

Search in DiVA

By author/editor
Eriksson, AndersNordmark, Arne
By organisation
Structural MechanicsMechanics
In the same journal
Computational Mechanics
Applied Mechanics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 8 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