Simulation of substrate clamping on the properties of piezoelectric/piezomagnetic laminated composites

A theoretical model was established to calculate the magnetoelectric voltage coefficient of piezoelectric (PMN-PT)/piezomagnetic (CFO) laminated composites on Si substrate. Using this model, the transverse and longitudinal magnetoelectric voltage coefficient formula of laminated composites was derived in ideal interface coupling state simply. The magnetoelectric voltage coefficient (αE) is calculated as function of the volume fraction of piezoelectrics and the thickness of Si substrate. It was found that the magnetoelectric voltage coefficient of PMN-PT/CFO laminated composites decreases with increase of Si substrate thickness, which shows strong clamping effect of the substrate. Meanwhile, with increase of substrate thickness, the compressive stress of substrate to PMN-PT enhances, which change the lattice constant of PMN-PT and lead to low optimum PMN-PT volume fraction v.