روش آکوستیک برای تعیین غلظت اجزا در کامپوزیت‌های سه‌جزیی تحت فرآیندهای ایزوباریک و ایزوترمال

This article investigates the phase velocity of acoustic waves in three-component composites with a linear periodic arrangement (period 1) under various pressures in an isothermal process and at different temperatures in an isobaric process. The inverse method is used to determine the component concentrations. This research studies the propagation of long acoustic waves in three-component phononic crystals and analyzes the dependence of the wave phase velocity on the volume concentration of the crystal's constituent components. The concentration of components in the unit cell is determined by deriving the phase velocity relation within this cell. The underlying mathematical problem is an inverse problem. To provide a sufficient number of equations for determining the unknowns, the phase velocity in the unit cell was examined using two different methods. The results show that accurate measurement of wave velocity using different methods enables the determination of the concentration of all crystalline elements with high precision. The aim of this article is to develop a method for determining the concentration of components in a three-component mixture using the phase velocity of long acoustic waves. This research is significant due to its direct applications in the manufacturing processes of nanocomposites, optimization of production methods, and quality control in the aerospace industry (aircraft, rockets, and drones) and the transportation industry (automobiles, ships, etc.). The methodology is as follows: first, the governing equations for acoustic wave propagation are presented. The relation for the acoustic phase velocity was derived using two methods in both isothermal and isobaric processes. Finally, the validity of the phase velocity relation was examined using a numerical example.