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Extrinsic Contributions to Macroscopic Properties of Ferroic Layer Composites

Theoretical study of the effective permittivity ϵ, elastic compliance s and piezoelectric coefficient δ of a ferroelectric layer composite is presented in this work. The composite system consists of the ferroic film with 90° domain structure and two non-ferroic passive layers, which separate the ferroic film from the electrodes. The response of the domain structure to the external force and electric field is a source of the extrinsic contributions to the aforementioned macroscopic properties ϵ, s and d. Analytical results are obtained under the assumption that the domain structure is dense and that domain wall shifts are controlled by the energy of the average electric field and mechanical stress in the layer composite system. Effects due to the difference between material properties of the layers and due to the different orientations of the applied force to the composite system on the macroscopic properties ϵ, s and d are discussed.