title: Analysis of second-harmonic generation by primary ultrasonic guided wave propagation in a piezoelectric plate.
abstract: The effect of second-harmonic generation (SHG) by primary ultrasonic guided wave propagation is analyzed, where the nonlinear elastic, piezoelectric, and dielectric properties of the piezoelectric plate material are considered simultaneously. The formal solution of the corresponding second-harmonic displacement field is presented. Theoretical and numerical investigations clearly show that the SHG effect of primary guided wave propagation is highly sensitive to the electrical boundary conditions of the piezoelectric plate. The results obtained may provide a means through which the SHG efficiency of ultrasonic guided wave propagation can effectively be regulated by changing the electrical boundary conditions of the piezoelectric plate.
authors.affiliation: Department of Physics, Logistics Engineering University, Chongqing 401331, China. Electronic address: dengmx65@yahoo.com.
authors.forename: Mingxi
authors.initials: M
authors.lastname: Deng
authors.affiliation: School of Mechanical and Power Engineering, East China University of Science and Technology, Shanghai 200237, China. Electronic address: yxxiang@ecust.edu.cn.
authors.forename: Yanxun
authors.initials: Y
authors.lastname: Xiang
keywords: Electrical boundary condition; Piezoelectric plate; Second-harmonic generation (SHG); Ultrasonic guided waves