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A FE2 shell model with periodic boundary conditions for thin and thick shells

Gruttmann, Friedrich ; Wagner, Werner 1
1 Institut für Baustatik (IBS), Karlsruher Institut für Technologie (KIT)

Abstract:

In this article a FE2 shell model for thin and thick shells within a first order homogenization scheme is presented. A variational formulation for the two-scale boundary value problem and the associated finite element formulation is developed. Constraints with 5 or 9 Lagrange parameters are derived which eliminate both rigid body movements and dependencies of the shear stiffness on the size of the representative volume elements (RVEs). At the bottom and top surface of the RVEs which extend through the total thickness of the shell stress boundary conditions are present. The periodic boundary conditions at the lateral surfaces are applied in such a way that particular membrane, bending and shear modes are not restrained. This is shown by means of a homogeneous RVE. The first of all linear formulation is extended to finite strain problems introducing transformation relations for the stress resultants and the material matrix. The transformations are performed at the Gauss points on macro level. Several boundary value problems including large deformations, stability and inelasticity are computed and compared with 3D reference solutions.


Verlagsausgabe §
DOI: 10.5445/IR/1000175803
Veröffentlicht am 31.10.2024
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Baustatik (IBS)
Publikationstyp Zeitschriftenaufsatz
Publikationsdatum 15.06.2024
Sprache Englisch
Identifikator ISSN: 0029-5981, 1097-0207
KITopen-ID: 1000175803
Erschienen in International Journal for Numerical Methods in Engineering
Verlag John Wiley and Sons
Band 125
Heft 11
Seiten e7433
Vorab online veröffentlicht am 27.02.2024
Nachgewiesen in Web of Science
Dimensions
Scopus
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