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Hierarchic isogeometric analyses of beams and shells
Publikationstyp
Conference Paper
Date Issued
2016-09
Sprache
English
Author(s)
Start Page
41
End Page
46
Citation
3rd Polish Congress of Mechanics (PCM 2015) and 21st International Conference on Computer Methods in Mechanics (CMM 2015)
Publisher DOI
Scopus ID
The higher inter-element continuity of the Isogeometric Analysis (IGA) applying NURBS functions for geometry as well as mechanics opens up new possibilities in the analysis of thin-walled structures, i.e. beams, plates and shells. The contribution addresses the straightforward implementation of classical theories requiring C1-continuity, such as the Euler-Bernoulli beam and Kirchhoff-Love shell theory. Based on these "simplest" models shear deformable theories, introducing Timoshenko and Reissner- Mindlin kinematics, are formulated in a hierarchic manner. In contrast to the usual Finite Element concept using total rotations the present model picks up traditional formulations introducing incremental rotations as primary variables. Furthermore an alternative version is discussed with a split of the displacements into bending and transverse shear parts. Both hierarchic concepts can be easily extended to 3D-shell models. The key aspect of this alternative parameterization is the complete a-priori removal of the transverse shear locking and curvature thickness locking (in the case of 3D-shells).