The mathematical modeling for bulk acoustic wave propagation velocities in transversely isotropic piezoelectric materials. (English) Zbl 1371.74138

Abd-alladan, Abo-el-nour N.; Hamdan, Abdelmonam M.; Almarashi, Adel A.; Battista, Antonio

Math. Mech. Solids 22, No. 4, 823-836 (2017).

Summary: The objective of this paper is to study the bulk acoustic wave (BAW) propagation velocities in transversely isotropic piezoelectric materials, aluminum nitride, zinc oxide, cadmium sulfide and cadmium selenide. The bulk acoustic wave velocities are computed for each direction by solving the Christoffel’s equation based on the theory of acoustic waves in anisotropic solids exhibiting piezoelectricity. These values are calculated numerically and implemented on a computer by Bisection Method Iterations Technique (BMIT). The modification of the bulk acoustic wave velocities caused by the piezoelectric effect are graphically compared with the velocities in the corresponding non-piezoelectric materials. The results obtained in this study can be applied to signal processing, sound systems and wireless communication in addition to the improvement of surface acoustic wave (SAW) devices and military defense equipment.

MSC:

74J10	Bulk waves in solid mechanics
74F05	Thermal effects in solid mechanics
74F15	Electromagnetic effects in solid mechanics
74E10	Anisotropy in solid mechanics

Keywords:

anisotropic materials; bisection method; bulk acoustic waves; Christoffel’s equation; piezoelectric crystal