3D static analysis of homogenized piezoelectric plates based on the Mori-Tanaka and the Stroh approach

In this paper, mathematical modeling for the identification of effective electro-mechanical properties of homogeneous piezoelectric plate composites is proposed. The effective properties are investigated using micromechanical models based on the heterogeneous inclusion problem of Eshelby. The concentration and localization tensors are used attributed to the Mori-Tanaka micromechanical approach. The homogenized coefficients for both electro-elastic and piezoelectric plates are then used to analyze the response of the polarized piezoelectric plate in z-direction. The influence of the direction of polarization in addition to the concentration of the fiber inclusion is analysed using the exact solution from the Stroh-like formalism. The Stroh-like formalism solution demonstrate the effect of the polarization direction of Epoxy/PZT-5 and PZT-C91/PZT-5 on the eletromechanical response of piezoelectric composite.