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Linear and nonlinear Finite Element modeling of coupled electro‐magneto‐mechanical multifield problems
Author(s) -
Avakian Artjom,
Ricoeur Andreas
Publication year - 2013
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201310097
Subject(s) - homogenization (climate) , finite element method , nonlinear system , magneto , realization (probability) , coupling (piping) , mechanical engineering , context (archaeology) , field (mathematics) , computer science , structural engineering , engineering , materials science , physics , mathematics , magnet , geology , pure mathematics , biodiversity , ecology , paleontology , statistics , quantum mechanics , biology
In this paper we present the theoretical background and application of Finite Element algorithms for linear and nonlinear problems of multiple field coupling. They enable the prediction of the electromagnetomechanical behavior of materials and structures and supply useful tools for the optimization of multifunctional composites. First, linear three‐field coupling is presented within the context of a Finite Element implementation. Then, a homogenization procedure is discussed. Finally, a micromechanical model for nonlinear ferroelectric constitutive behavior and its numerical realization are outlined. (© 2013 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)