Robust numerical calculation of tangent moduli at finite strains based on complex-step derivative approximation and its application to localization analysis

Author:

Tanaka Masato,Fujikawa Masaki,Balzani Daniel,Schröder Jörg

Publisher

Elsevier BV

Subject

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

Reference15 articles.

1. A polyconvex framework for soft biological tissues adjustment to experimental data;Balzani;Int. J. Solids. Struct.,2006

2. Consistent tangent operators for constitutive rate equations;Fellin;Int. J. Numer. Anal. Methods Geomech.,2002

3. Numerically generated tangent stiffness matrices using the complex variable derivative method for nonlinear structural analysis;Kim;Comput. Methods Appl. Mech. Eng.,2011

4. O. Kintzel, Modeling of elasto–plastic material behavior and ductile micropore damage of metallic materials at large deformation, Ph.D. thesis, Ruhr University, Bochum, 2007.

5. Extensions of the first and second complex-step derivative approximations;Lai;J. Comput. Appl. Math.,2008

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