Microstructural considerations on SH-wave propagation in a piezoelectric layered structure

Abstract

Shear wave based acoustic devices are being used in gaseous and liquid environments because of their high-sensitivity. The theoretical study of horizontally polarized shear (SH) waves in a layered structure consisting of a piezoelectric ceramic of P ZT − 5H or BaT iO 3 material overlying a couple stress substrate is presented in this paper. The considered substrate is supposed to be exhibiting microstructural properties. The closed form expression of dispersion relations are derived analytically for electrically open and short conditions. The effects of internal microstructures of the couple stress substrate, thickness of P ZT − 5H or BaT iO 3 ceramic, piezoelectric and dielectric constants are illustrated graphically on the phase velocity of the piezoelectric layer under electrically open and short conditions.

Analysis of size dependency on Love-type wave propagation in a functionally graded piezoelectric smart material

“…Equations (48) and (49) represent the dispersion relations of a Love-type wave in a piezoelectric layer overlying a semi-infinite couple-stress substrate, for the electrically open and short cases, respectively. These resemble the dispersion relations obtained by Goyal et al [29], thus the outcomes are validated. The values of p 18 , p 19 , and p 20 are provided in the appendix.…”

“…The classical theory of elasticity is deficient in capturing these size effects but numerous researchers have succeeded in developing suitable models [21–25]. The couple-stress model proposed by Hadjesfandiari and Dargush [26] has drawn the attention of many researchers [27–29], owing to its relatively smaller complexity. This model considers a length scale parameter η , called a couple-stress coefficient, which is further related to the characteristic length parameter l .…”

Quantifying viscoelastic, piezoelectric and couple stress effects on Love-type wave propagation

“…and Equations (53a) and (53b) show the dispersion equations for Love wave propagation in piezoelectric medium overlying semiinfinite couple stress substrate for electrically open and short conditions, respectively. It is same as obtained from [41].…”

Love waves in fiber-reinforced layer imperfectly bonded to microstructural couple stress substrate

“…This characteristic length is of the order of average cell size of the material. Many researchers have applied couple stress theory to investigate problems of wave propagation in elastic media under different conditions, see Sengupta and Ghosh (1974), Ottosen et al (2000), Georgiadis and Velgaki (2003), Akgöz and Civalek (2013), Sharma and Kumar (2018), Goyal et al (2018), Fan and Xu (2018). The wave propagation in an elastic medium depends upon properties of the material through which they propagate.…”