1. Study on the attributes of transverse surface waves in a layered piezoelectric semi-space with surface elasticity theory and extended stroh formalism.
- Author
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Wang, Xuan, Zhou, Jiashun, Chen, Qiang, Huang, Kefu, and Xue, Yahui
- Subjects
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SHEAR waves , *SURFACE acoustic wave sensors , *ACOUSTIC wave propagation , *THEORY of wave motion , *PHASE velocity , *ELASTICITY , *SURFACE waves (Seismic waves) , *PIEZOELECTRIC materials , *RAYLEIGH waves - Abstract
• The theoretical forms of wavenumber of transverse surface waves in orthotropic piezoelectric media are acquired with extended stroh formalism. • The phase velocity equation of transverse surface wave propagation in the orthotropic and transversely isotropic layers overlying an isotropic elastic dielectric semi-space is obtained. • A physical model for depicting the bulk and surface layers' horizontal shear stiffness versus the orientation of wave propagation is established. • A numerically comparable study is carried out on phase velocity and shear stiffness versus wave propagation directions. Previous works on surface acoustic wave sensors have shown great limitations in selecting piezoelectric materials and the wave propagation direction. To eliminate such limitations in the technological revolution of SAW sensors, the current paper's main purpose is to explore how wave propagation orientation affects the performance of SAW macro- and nano-sensors. Based on Extended Stroh formalism, the theoretical forms are derived and exploited to present the wavenumber of transverse waves in an arbitrary direction of the piezoelectric medium. Furthermore, we consider surface elasticity theory to acquire the phase velocity equation on the basis of the expression of the wavenumber. More intuitively, a physical model is set up to obtain the horizontal shear stiffness of the surface and bulk layers. Then, the numerical case is carried out to determine the relationship between phase velocity and wave propagation orientation. By comparing the numerical study and the physical model, it can be found that the empirical formula of shear stiffness for bulk and surface layers offers a helpful route to precisely predict the mechanical attributes of SAW macro- and nano-sensors, respectively. The summaries of the current theoretical work benefit the manufacturing of surface acoustic wave sensors with improved performance. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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