Mixed finite element methods

Theory and discretization

authored by

Peter Wriggers

Abstract

This contribution is concerned with the formulation of mixed finite elements discretization schemes for nonlinear problems of solid mechanics. Thus continuum mechanics for solids is described in the first section to provide the necessary background for the numerical method. This includes necessary kinematical relations as well as the balance laws with their weak forms and the constitutive equations. The second section then describes mixed discretization schemes which can be applied to simulate nonlinear elastic problems including finite deformations.

Organisation(s)

Institute of Continuum Mechanics

Type

Contribution to book/anthology

Pages

131-177

No. of pages

47

Publication date

2009

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Modelling and Simulation, Mechanics of Materials, Mechanical Engineering, Computer Science Applications

Electronic version(s)

https://doi.org/10.1007/978-3-211-99094-0_5 (Access: Unknown)

 

Details in the research portal "Research@Leibniz University"