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The characterization work is an important step when studying a piezoelectric material, it allows to link the mechanical characteristics to the electrical ones. Nevertheless for high excitation levels, significant changes in piezoelectric properties occur. They result in a performance limitations for high power transducers. A better understanding of this nonlinear behavior is needed to optimize heavy duty transducers. We chose to study a symmetrical Langevin transducer close to its resonance frequency, so under high stress and strain, and we elaborated a transducer model based on nonlinear piezoelectric constitutive equations. Simulation results fit nicely with experimental data. Moreover, introduction of nonlinear terms leads to a new explanation of the dissipated power in heavy duty transducers and correlation between model and experiments gives an estimation ofthe nonlinear parameters.