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Parameterisation of rotations in co-rotational elements
KTH, Superseded Departments, Structural Engineering.
KTH, Superseded Departments, Structural Engineering.ORCID iD: 0000-0003-2104-382X
KTH, Superseded Departments, Structural Engineering.ORCID iD: 0000-0002-5819-4544
2000 (English)In: Proceedings Euromech 2000, Metz / [ed] Aeby-Gautier, E. Clavel, M. Dunne, F, Les Ulis: EDP Sciences , 2000Conference paper, Published paper (Refereed)
Abstract [en]

This paper presents some theoretical aspects related to the parameterisation of finite 3D rotations in the formulation of co-rotational beam and shell elements. In this context, the term "co-rotational" means that the motion of the element is decomposed into a rigid body motion followed by a pure deformation in the local coordinate system which continuously translates and rotates with the element.

Place, publisher, year, edition, pages
Les Ulis: EDP Sciences , 2000.
Series
Journal de physique. IV, Proceedings, 99-2641810-4
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:kth:diva-12812ISBN: 2-86883-550-3 (print)OAI: oai:DiVA.org:kth-12812DiVA: diva2:318963
Conference
4th European Mechanics of Materials Conference on Processes, Microstructures and Mechanical Properties
Note
QC 20100512Available from: 2010-05-12 Created: 2010-05-12 Last updated: 2010-05-12Bibliographically 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

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Battini, Jean-MarcEriksson, Anders

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