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
Co-rotational beam elements with warping effects in instability problems
KTH, Superseded Departments, Civil and Architectural Engineering.ORCID iD: 0000-0003-2104-382X
KTH, Superseded Departments, Civil and Architectural Engineering.
2002 (English)In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 191, no 17-18, 1755-1789 p.Article in journal (Refereed) Published
Abstract [en]

The present paper investigates the formulation of 3D co-rotational beam elements for the buckling and post-buckling analysis of frame structures. Following Pacoste and Eriksson [Comput. Methods Appl. Mech. Engrg. 144 (1997) 163], the term co-rotational relates here to the provision of a local reference frame that continuously rotates and translates with the element. Within this context, several issues are emphasised. The first one refers to the parameterisation of finite 3D rotations. The alternative put forth in the paper is based on the spatial form of the incremental rotational vector. The second issue concerns warping effects which are introduced by adding a seventh degree of freedom at each node. Different types of local formulations are considered and it is shown that at least some degree of non-linearity must be introduced in the local strain definition in order to obtain correct results for certain classes of problems. Within the present approach the centroid and shear center of the cross-section are not necessarily coincident. Finally, in the context of instability problems, a method for the direct computation of critical points is also briefly discussed, This is based on a minimal augmentation procedure as developed by Eriksson [Comput. Methods Appl. Mech. Engrg. 156 (1998) 45; Comput. Methods Appl. Mech. Engrg. 179 (1999) 265; Int. J. Struct. Stability Dynamic 1 (1) (2001)]. Ten examples, including large displacement and stability problems, are used in order to assess the performances of the elements.

Place, publisher, year, edition, pages
2002. Vol. 191, no 17-18, 1755-1789 p.
Keyword [en]
finite element and matrix methods; nonlinear mechanics; numerical solution procedures; stability in structural mechanics; structural mechanics
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:kth:diva-12346DOI: 10.1016/S0045-7825(01)00352-8ISI: 000174316200001OAI: oai:DiVA.org:kth-12346DiVA: diva2:309854
Note
QC 20100409Available from: 2010-04-09 Created: 2010-04-09 Last updated: 2011-02-04Bibliographically approved
In thesis
1. Co-rotational beam elements in instability problems
Open this publication in new window or tab >>Co-rotational beam elements in instability problems
2002 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

The purpose of the work presented in this thesis is to implement co-rotational beam elements and branch-switching procedures in order to analyse elastic and elastoplasticinstability problems. For the 2D beam elements, the co-rotational framework is taken from Crisfield [23]. The main objective is to compare three different local elasto-plastic elements. The 3D co-rotational formulation is based on the work of Pacoste and Eriksson [73],with new items concerning the parameterisation of the finite rotations, the definitionof the local frame, the inclusion of warping effects through the introduction of aseventh nodal degree of freedom and the consideration of rigid links. Differenttypes of local formulations are considered, including or not warping effects. It isshown that at least some degree of non-linearity must be introduced in the localstrain definition in order to obtain correct results for certain classes of problems. Within the present approach any cross-section can be modelled, and particularly, the centroid and shear center are not necessarily coincident.Plasticity is introduced via a von Mises material with isotropic hardening. Numericalintegration over the cross-section is performed. At each integration point, theconstitutive equations are solved by including interaction between the normal andshear stresses. Concerning instabilities, a new numerical method for the direct computation of elasticcritical points is proposed. This is based on a minimal augmentation procedure asdeveloped by Eriksson [32–34]. In elasto-plasticity, a literature survey, mainly concernedwith theoretical aspects is first presented. The objective is to get a completecomprehension of the phenomena and to give a basis for the two branch-switchingprocedures presented in this thesis.A large number of examples are used in order to assess the performances of the elements and the path-following procedures.

Place, publisher, year, edition, pages
Stockholm: KTH, 2002. xv, 180 p.
Series
Trita-MEK, ISSN 0348-467X ; 2002:01
Keyword
instability, co-rotational mehtod, branch-switching, beam element, warping, plastic buckling. post-bifurcation
National Category
Natural Sciences
Identifiers
urn:nbn:se:kth:diva-3284 (URN)
Public defence
2002-01-18, 00:00 (English)
Note
QC 20100512Available from: 2002-01-14 Created: 2002-01-14 Last updated: 2010-05-12Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Authority records BETA

Battini, Jean-Marc

Search in DiVA

By author/editor
Battini, Jean-MarcPacoste, Costin
By organisation
Civil and Architectural Engineering
In the same journal
Computer Methods in Applied Mechanics and Engineering
Engineering and Technology

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 171 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