The design of a piezocomposite transducer is accomplished by such advanced modeling technique as finite element method (FEM).
However, accurate analysis of a 1-3 piezocomposite transducer enforces three dimensional (3D) modeling that requires very finemeshing
of the transducer structure, which is frequently over affordable calculation resource capacity. In order to simplify the FEM
model for complicated underwater transducers, the 1-3 piezocomposite needs to be simulated with a single phase
material of equivalent properties. The 1-3 piezocomposite material in this study is made of the PMN-PT single crystal as
the active material and urethane as the matrix material. Theoretical models for the calculation of new material parameters
of 1-3 composites having fine lateral periodicity have been derived. For the validation of the equivalent properties, TE
(thickness extensional), LE (length extensional), LTE (length thickness extensional), and TS (thickness shear) FEM
models have been built to compare the impedance-frequency spectra of the 1-3 composite material and an equivalent
material. Through the simulation with the models, all the equivalent elastic, dielectric and piezoelectric constants of the
single phase material are determined. Further, 3D and axis-symmetric 2D FEM models of a multi-mode Tonpilz
transducer have been constructed with the equivalent material properties. The equivalent material provides a very good
correlation between the 2D and 3D transducer models, which is not easily attainable with the full 1-3 piezocomposite
model. This result confirms the efficacy of the equivalent material properties of the 1-3 piezocomposites.