Rotation-free parametrization and isogeometric analysis of shear deformable plates and shells

Přednáška
Prednášející: Prof. Dr.-Ing. habil. Manfred Bischoff, Institut für Baustatik und Baudynamik, Universität Stuttgart
Datum: 17. srpna 2016 (středa) od 10:00 hodin
Místo: Ústavu termomechaniky (posluchárna B)

Česká společnost pro mechaniku a Ústav termomechaniky AV ČR, v. v. i. vás srdečně zvou na přednášku prof. Dr.-Ing. habil. Manfreda Bischoffa, Institut für Baustatik und Baudynamik, Universität Stuttgart.

Anotace: Structural theories for static and dynamic analysis of shear deformable plates and shells (Reissner-Mindlin type) usually employ independent degrees of freedom for displacements and rotations. It is shown how equivalent models can be developed based on displacement degrees of freedom only. In the context of finite element formulations this has the advantage that transverse shear locking can be intrinsically avoided within a standard displacement-based concept, regardless of the underlying function spaces used for discretization.

 

As in this context higher continuity of the shape functions is required, a natural way is to incorporate such theories into the isogeometric concept, using NURBS (non-uniform rational B-splines) as shape functions. Corresponding shear-deformable shell finite element formulations for geometrically linear and non-linear applications are presented and their performance is demonstrated with the help of numerical examples.

Bližší informace: Ing. R. Kolman, Ph.D., Ing. H. Seiner, Ph.D.


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