The vibration and electrical characteristics of transducer is determined by material coefficients and geometry, with material coefficients being susceptible to factors including frequency, pressure, and temperature, which leads to poor repeatability of transducer characteristics. Consequently, it is challenging to provide an accurate theoretical model to predict the characteristics based on the current material coefficients. To achieve a more accurate transducer model, a measurement method is proposed based on the mapping between material coefficients and transducer characteristic parameters to obtain accurate coefficients under working conditions with simple equipment and lower costs. The mapping is analyzed based on the transducer model, identifying five key coefficients. An iterative optimization method is then developed to measure these coefficients. Additionally, the genetic algorithm (GA) method is utilized for cross-checking. Transducers made from seven different materials and with varying lengths are measured, and the coefficients are obtained by both methods. With the obtained coefficients, the vibration and electrical characteristics of multi-material transducers is predicted and found to be in good agreement with the measured values, validating the transducer model and the coefficient measurement method. These coefficients are then compared with results obtained from a dynamic mechanical analyzer (DMA) and reference values. The results demonstrate that theoretical coefficients obtained by the proposed method lead to more accurate predictions for the vibration and electrical characteristics compared to those obtained from the DMA and reference values. Furthermore, the influence of frequency on the coefficients is studied by the method. The iterative method and GA method are compared in terms of their relative errors.
The main focus of this work is the echogenicity of a 3D-printed synthetic composite material that mimics the acoustic properties of cardiac biological tissues to provide ultrasound images similar to those obtained during interventional cardiology procedures. The 3D-printed material studied is a polymer-based composite with a matrix-inclusion microstructure, which plays a critical role in ultrasound response due to ultrasound-microstructure interaction at the involved medical echography wavelengths. Both numerical simulations and experimental observations are carried out to quantitatively establish the relationship between the 3D-printed microstructure and its ultrasonic echogenicity, considering different microstructure characteristics, namely area fraction and size of the inclusion, and its actual printed shape. A numerical evaluation based on finite element modeling is carried out to characterize the acoustic properties of the 3D-printed synthetic tissue: phase velocity, attenuation coefficient, and B-mode ultrasound images. Moreover, a morphological experimental study of the shape of the real 3D-printed inclusions is carried out. It shows a significant deviation of the final printed inclusions compared to the input spherical shape delivered to the 3D printer. By simulating and comparing numerically generated microstructures and 3D-printed real microstructures, it is shown that the actual shape of the inclusion is significant in the scattering of the ultrasonic wave and the echogenicity of the printed material.
Finite element computations offer ways to study the behavior of ultrasonic waves in polycrystals. In particular, the simulation of plane waves propagation through small representative elementary volumes of a microstructure allows estimating velocities and scattering-induced attenuation for an effective homogeneous material. Existing works on this topic have focused mainly on longitudinal waves. The approach presented here relies on generating periodic samples of microstructures in order to accommodate both longitudinal and shear waves. After some discussion on the parametrization of the simulations and the numerical errors, results are shown for several materials. These results are compared to an established theoretical attenuation model that has been adapted to use a fully analytical expression of the two-point correlation function for the polycrystals of interest, and to use velocities corresponding to different reference media. Promising comparisons are obtained for both longitudinal and shear waves when using more representative media, obtained through Hill averaging or a self-consistent approach. This illustrates how the numerical method can assist in developing and validating analytical models for elastic wave propagation in heterogeneous media.