Journal article
A remark on the application of the Newton-Raphson method in non-linear finite element analysis



Publication Details
Authors:
Hartmann, S.
Publication year:
2005
Journal:
Computational Mechanics
Pages range:
100-116
Volume number:
36
ISSN:
0178-7675

Abstract
Usually the notion "Newton-Raphson method" is used in the context of non-linear finite element analysis based on quasi-static problems in solid mechanics. It is pointed out that this is only true in the case of non-linear elasticity. In the case of constitutive equations of evolutionary-type, like in viscoelasticity, viscoplasticity or elastoplasticity, the "Multilevel-Newton algorithm" is usually applied yielding the notions of global and local level (iteration), as well as the consistent tangent operator. In this paper, we investigate the effects of a consistent application of the classical Newton-Raphson method in connection with the finite element method, and compare it with the classical Multilevel-Newton algorithm. Furthermore, an improved version of the Multilevel-Newton method is applied.


Authors/Editors

Last updated on 2019-25-07 at 17:56