The importance of the exact satisfaction of the incompressibility constraint in nonlinear elasticity: mixed FEMs versus NURBS-based approximations-Reference-Cited by-同舟云学术

The importance of the exact satisfaction of the incompressibility constraint in nonlinear elasticity: mixed FEMs versus NURBS-based approximations

Published:2010-01 Issue:5-8 Volume:199 Page:314-323
ISSN:0045-7825
Container-title:Computer Methods in Applied Mechanics and Engineering
language:en
Short-container-title:Computer Methods in Applied Mechanics and Engineering

Author:

Auricchio F.,Beirão da Veiga L.,Lovadina C.,Reali A.

Publisher

Elsevier BV

Subject

Computer Science Applications,General Physics and Astronomy,Mechanical Engineering,Mechanics of Materials,Computational Mechanics

Reference30 articles.

1. A stable finite element for the Stokes equation;Arnold;Calcolo,1984

2. Mixed finite element methods;Auricchio,2004

3. A stability study of some mixed finite elements for large deformation elasticity problems;Auricchio;Comput. Methods Appl. Mech. Engrg.,2005

4. A fully “locking-free” isogeometric approach for plane linear elasticity problems: a stream function formulation;Auricchio;Comput. Methods Appl. Mech. Engrg.,2007

5. F. Auricchio, L. Beirão da Veiga, C. Lovadina, A. Reali, Stability of some finite element methods for finite elasticity problems, in: C. Carstensen, P. Wriggers, (Eds.), Mixed Finite Element Technologies, CISM Courses and Lectures, Springer, in press.

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