Discretization Methods for Solids Undergoing Finite Deformations

authored by: 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.
Organisation(s): Institute of Continuum Mechanics
Type: Contribution to book/anthology
Pages: 17-51
No. of pages: 35
Publication date: 20.05.2016
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Mechanical Engineering, Mechanics of Materials, Computer Science Applications, Modelling and Simulation
Electronic version(s): https://doi.org/10.1007/978-3-319-31925-4_2 (Access: Closed)
: Details in the research portal "Research@Leibniz University"