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Two‐scale computational homogenization of magneto‐electric composites
Author(s) -
Keip MarcAndré,
Labusch Matthias,
Schröder Jörg
Publication year - 2013
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201310257
Subject(s) - homogenization (climate) , piezoelectricity , linearization , moduli , computation , magneto , electric field , materials science , composite material , macro , mathematics , physics , computer science , nonlinear system , mechanical engineering , engineering , algorithm , magnet , biodiversity , ecology , quantum mechanics , biology , programming language
This contribution presents a two‐scale computational homogenization framework for the micro‐macro simulation of magneto‐electro‐mechanically coupled materials. Energetically consistent micro‐macro transition conditions will be derived from a generalized form of the classical Hill‐Mandel condition. A focus of the work is on the computation of effective magneto‐electric moduli which are derived on the basis of an algorithmically consistent linearization of the macroscopic field equations. The method will be applied to the homogenization of magneto‐electric composites which are composed of piezomagnetic and piezoelectric phases. The effective magneto‐electric moduli of two‐phase composites will be computed. (© 2013 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)