I am trying to find out the effective properties (elastic, piezoelectric and dielectric coefficient ) of the nanocomposite. My unit cell consists of a sphere (piezoelectric nanoparticle- anisotropic) embedded in a cube (non-piezoelectric polymer matrix- isotropic ). The crystal structure of the nanoparticle is wurtzite crystal. I have used periodic displacement boundary conditions and calculated the effective stiffness matrix for this nanocomposite using Abaqus. The stiffness matrix values are shown almost isotropic behavior. Is it correct?
And how do I find effective piezoelectric (e13, e33, e15) and dielectric ( ε11, ε 33) coefficient of the nanocomposite using Abaqus?