Polyvinylidene fluoride transducer shape optimization for the characterization of anisotropic materials

TL;DR

This paper develops a finite beam model to optimize transducer shape and position for ultrasonic characterization of anisotropic materials, improving measurement accuracy by accounting for beam skewing effects.

Contribution

It introduces a finite beam model based on the angular spectrum method and uses meta-heuristic optimization to design transducers for better plane-wave approximation in anisotropic material testing.

Findings

Optimized transducer shape improves measurement accuracy.

Good agreement between measurements and plane-wave model.

Validated approach on silicon, stainless steel, and composite plates.

Abstract

In the context of the ultrasonic determination of mechanical properties, it is common to use oblique incident waves to characterize fluid-immersed anisotropic samples. The lateral displacement of the ultrasonic field owing to leaky guided wave phenomena poses a challenge for data inversion because beam spreading is rarely well represented by plane-wave models. In this study, a finite beam model based on the angular spectrum method was developed to estimate the influence of the transducer shape and position on the transmitted signals. Additionally, anisotropic solids were considered so that the beam skewing effect was contemplated. A small-emitter large-receiver configuration was chosen, and the ideal shape and position of the receiving transducer were obtained through a meta-heuristic optimization approach with the goal of achieving a measurement system that sufficiently resembles plane-wave propagation. A polyvinylidene fluoride receiver was fabricated based on the findings and tested in three cases: a single-crystal silicon wafer, a lightly anisotropic stainless-steel plate, and a highly anisotropic composite plate. Good agreement was found between the measurements and the plane-wave model.