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The magneto‐electric (ME) coupling of multiferroic materials is of high interest for a variety of advanced applications like in data storage or sensor technology. Since the ME coupling of single‐phase multiferroics is too low for technical applications, the manufacturing of composite structures becomes relevant. These composites generate the effective ME coupling as a strain‐induced product property. Several experiments on composite multiferroics showed remarkable ME coefficients that are orders of magnitudes higher than those of single‐phase materials. The present paper investigates the arising effective product properties of two‐phase ME composites by simulating the coupling behavior using a two‐scale finite element (FE2) homogenization approach. By means of this method, microstructures with different volume fractions of the individual phases and associated macroscopic ME coupling coefficients are considered. We investigate the influence of different magnetization states by means of the non‐linear dissipative magnetostriction material model originally established in [1]. (© 2015 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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This contribution presents a two-scale computational homogenization framework for the micro-macro simulation of magnetoelectro-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 magnetoelectric 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.