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27.08.2018 13:28

Vortrag: Seminar für Mechanik am 20.02.2020, 14:00 Uhr

On new developments in mixed FE-Technologies: In contrast to the classical finite element method, mixed finite elements represent a suitable approach for the approximation of boundary value problems with constraint conditions. The lecture deals with the mathematical analysis as well as the numerical investigation of different mixed Finite Element formulations for the case of linear elasticity. New strategies for the extension of the presented formulations to hyperelasticity will be discussed. With the aim of developing reliable and efficient finite elements for large deformations and we mainly focus on the construction of Hellinger-Reissner type elements. This requires a discretization of the stresses and displacements as well as a non-trivial extension to large deformations. This is followed by an analysis of the efficiency and reliability of the considered FE formulation by comparisons with already established elements by discussing numerical benchmarks. In addition to the usual constraints of incompressibility and thin-walled structures, the case of anisotropic materials with inextensivity is discussed. Finally, new findings regarding the analysis of structural stability using mixed finite elements in the context of hyperelasticity are presented.

Prof. Dr.-Ing. habil. Jörg Schröder

Universität Duisburg-Essen

Daten:

  • Donnerstag, 20.02.2020, 14 Uhr
  • Ort: Raum 3516, Mö 7