Novel Finite Elements
Mixed, Hybrid and Virtual Element Formulations at Finite Strains for 3D Applications
- verfasst von
- Jörg Schröder, Peter Wriggers, Alex Kraus, Nils Viebahn
- Abstract
The main goal of this research project is to develop new finite-element formulations as a suitable basis for the stable calculation of modern isotropic and anisotropic materials with a complex nonlinear material behavior. New ideas are pursued in a strict variational framework, based either on a mixed or virtual FE approach. A novel extension of the classical Hellinger-Reissner formulation to non-linear applications is developed. Herein, the constitutive relation of the interpolated stresses and strains is determined with help of an iterative procedure. The extension of the promising virtual finite element method (VEM) is part of the further investigation. Particularly, different stabilization methods are investigated in detail, needed in the framework of complex nonlinear constitutive behavior. Furthermore the interpolation functions for the VEM is extended from linear to quadratic functions to obtain better convergence rates. Especially in this application the flexibility of the VEM regarding the mesh generation will constitute a huge benefit. As a common software development platform the AceGen environment is applied providing a flexible tool for the generation of efficient finite element code.
- Organisationseinheit(en)
-
Institut für Kontinuumsmechanik
- Externe Organisation(en)
-
Universität Duisburg-Essen
- Typ
- Beitrag in Buch/Sammelwerk
- Seiten
- 37-67
- Anzahl der Seiten
- 31
- Publikationsdatum
- 2022
- Publikationsstatus
- Veröffentlicht
- ASJC Scopus Sachgebiete
- Maschinenbau, Theoretische Informatik und Mathematik
- Elektronische Version(en)
-
https://doi.org/10.1007/978-3-030-92672-4_2 (Zugang:
Geschlossen)
