SH Waves in a Half-Space Model of Functionally Gradient Piezoelectric Semiconductors with Initial Stresses

Abstract

In terms of piezoelectric class (6 mm) crystal semiconductor, the propagation of shear surface waves on the half-space surface under initial stresses is studied. The initial stresses and material parameters are hypothesized to exponentially vary along $x-$ direction only. Besides, the velocity equations of SH waves can be obtained based on the boundary conditions and the kinematic equations of the initially stressed graded piezoelectric semiconductor material, as well as the traction-free boundary conditions. Based on the numerical results, we explore how the semiconductivity, initial stresses as well as material gradient index impact the dispersive curves.

Keywords:

• Shear surface waves
• gradient material
• piezoelectric semiconductors
• dispersive curves
• initial stresses

Disclosure Statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

The present study was funded by the Natural Science Foundation of Heilongjiang Province of China [grant number LH2020A023]; Heilongjiang Province Education Department Scientific Research Project [grant number 145209136]; National Natural Science Foundation of China, [No.42371113].