Theoretical equations for dielectric, piezoelectric and elastic properties of flexible composite consisting of polymer and ceramic powder of two different materials

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Abstract
This paper describes theoretical equations for dielectric, piezoelectric and elastic properties of the composite consisting of polymer and mixed ceramic powder of two different materials. The present author proposes a model for this composite, assuming that the composite consists of two sub-composites which consist of the same polymer and each original ceramic powder with the same ceramic volume fraction. This model in the case that volume fraction of phase 1 is equal to or smaller than that of phase 2 becomes a 0-0 or 0-3 composite. Based on this model and using the equations from series and parallel models, the theoretical equations for the dielectric, piezoelectric and elastic constants of the present composite have been derived.