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Effective computational methods for the solution of ferroelectroelastic problems under complex loading
Author(s) -
Semenov Artem S.,
Liskowsky Albrecht C.,
Neumeister Peter,
Balke Herbert
Publication year - 2010
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201010184
Subject(s) - robustness (evolution) , finite element method , tangent , nonlinear system , boundary value problem , mathematics , computer science , numerical analysis , algorithm , mathematical optimization , mathematical analysis , structural engineering , engineering , geometry , physics , biochemistry , chemistry , quantum mechanics , gene
Enhanced numerical methods for the solution of three‐dimensional nonlinear electromechanically coupled boundary value problems are considered. A vector potential finite element formulation with return mapping algorithm and consistent tangent operator is developed. The accuracy and robustness of the algorithms are assessed with the help of numerical examples concerning a ferroelectroelastic analysis of structures under complex multiaxial non‐proportional loading. (© 2010 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)