Multiferroic composite materials consist of ferroelectric (FE) and ferromagnetic (FM) phases.The interrelation of ferroelectricity and ferromagneticity allows the magnetic control of FE properties and the electric control of FM properties.Namely,these composite materials can output the magnetoelectric (ME) effect by introducing indirect coupling via mechanical strain between the two phases.They are interesting for use in innovative multifunctional applications such as energy harvesting device.The macroscopic ME property is dominated by microscopic inhomogeneous structure.The objective of this study is to investigate generating mechanism of ME effect through a multiscale simulation based on asymptotic homogenized theory.We focused on a polycrystalline multiferroic composite material consisting of BaTiO3 and Terfenol-D phases.Firstly,the influence of the volume fraction of ferroelectric phase on the homogenized physical properties were analyzed.Then,the microscopic behaviors in response to the macro external magnetic field were investigated.Finally,the relation between the macrostructural ME property and the microstructural strain distribution was discussed for the randomly-oriented polycrystal.