Abstract
Multiferroic composite materials, which consist of ferroelectric and ferromagnetic phases, enable us to control magnetic permeability by electric field and electric permeability by magnetic field. In order to estimate the performance and reliability of these materials, it is necessary to understand the correlation between microstructural crystal morphologies and macroscopic response. In this study we employed the asymptotic homogenization theory for scale bridging between macrostructure and microstructure. The objective of this study is to develop a multiscale finite element method to design crystal morphologies of microstructure for upgrading macroscopic homogenized material properties. As a computational example, the effect of volume fraction on homogenized material properties was investigated for a composite material of barium titanate and cobalt ferrite. The development method was verified by comparison with Mori-Tanaka theory.
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