Determination of homogenized material constants of the 2–2 mode piezocomposite

2–2 mode piezocomposites are widely used for the drive section of acoustic transducers. Typically, piezocomposites have been developed using theoretical or numerical methods such as the finite element method. However, rigorous analysis of piezocomposites has always been difficult due to their complicated two-phase structure, which necessitates homogenization of the structure with a single-phase material with properties identical to those of the original two-phase piezocomposite. In this study, we determined the material properties of the equivalent single-phase material using the resonator method. The asymptotic averaging method was used to obtain the initial properties of the homogenized material, which had some accuracy limitations. We improved the accuracy by using multiple resonators, each of which reflected the effect of different material constants. We adjusted the material constants that influence each resonator to minimize the difference between the original piezocomposite's resonant and antiresonant frequencies and those of the equivalent single-phase material. The optimization technique was used to facilitate this adjustment. The homogenized material with the optimized material constants represented the original two-phase piezocomposite very well. The new method proposed in this study to homogenize the 2–2 mode piezocomposites can be applied to the accurate design of various piezocomposite transducers.