Discretization Methods for Solids Undergoing Finite Deformations

verfasst von
Peter Wriggers
Abstract

Finite element methods for solving engineering problems are used since decades in industrial applications. This market is still growing and the underlying methodologies, formulations, and algorithms seem to be settled. But still there are open questions and problems when applying the finite element method to situations where finite strains occur. Another problem area is the incorporation of constraints into the formulations, such as incompressibility, contact, and directional constraints needed to formulate anisotropic material behavior. In this section, we present the basic continuum formulation and different discretization techniques that can be used to overcome the problems mentioned above. Additionally, a set of test problems is presented that can be applied to test new finite element formulations.

Organisationseinheit(en)
Institut für Kontinuumsmechanik
Typ
Beitrag in Buch/Sammelwerk
Seiten
17-51
Anzahl der Seiten
35
Publikationsdatum
20.05.2016
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Maschinenbau, Werkstoffmechanik, Angewandte Informatik, Modellierung und Simulation
Elektronische Version(en)
https://doi.org/10.1007/978-3-319-31925-4_2 (Zugang: Geschlossen)
 

Details im Forschungsportal „Research@Leibniz University“