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Consistent linearization and finite element implementation of an incrementally objective canonical form return mapping algorithm for large deformation inelasticity
Author(s) -
Seifert T.,
Maier G.
Publication year - 2008
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.2270
Subject(s) - linearization , finite element method , deformation (meteorology) , algorithm , mathematics , rotation (mathematics) , tangent , modular design , computer science , mathematical optimization , nonlinear system , geometry , structural engineering , engineering , physics , operating system , quantum mechanics , meteorology
The present paper focuses on the consistent linearization and finite element implementation of an incrementally objective canonical form return mapping algorithm. A general and modular algorithmic setting, suited for almost any rate constitutive equations, is presented where the finite deformation consistent tangent modulus is obtained as a by‐product of the integration algorithm. Numerical examples illustrate the good performance of the proposed formulation, especially for large deformation increments with noteworthy superimposed rotation, where the consistent formulation converges quadratically in a reasonable number of iterations. Copyright © 2008 John Wiley & Sons, Ltd.