Applied Mathematics and Mechanics (English Edition) ›› 2025, Vol. 46 ›› Issue (6): 1069-1088.doi: https://doi.org/10.1007/s10483-025-3265-8
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Linyao WANG1, Aibing ZHANG1, Chuanzeng ZHANG2, Jianke DU1, Z. M. XIAO3, Jia LOU1,3,†(
)
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RSSReceived:2025-03-24
Revised:2025-04-27
Published:2025-06-06
Contact:
Jia LOU, E-mail: jiajia_smile@163.comSupported by:2010 MSC Number:
Linyao WANG, Aibing ZHANG, Chuanzeng ZHANG, Jianke DU, Z. M. XIAO, Jia LOU. Rayleigh wave propagation in an elastic half-space with an attached piezoelectric semiconductor layer considering flexoelectricity and size-effects. Applied Mathematics and Mechanics (English Edition), 2025, 46(6): 1069-1088.
Fig. 1
Schematic representation of the configuration featuring a PSC layer on an elastic substrate (color online)"
Fig. 2
Comparison of the classical Rayleigh wave dispersion curves obtained by the present model with those by Tian et al.[52]: (a) real component of the phase velocity; (b) imaginary component of the phase velocity (color online)"
Fig. 3
Dispersion and attenuation characteristics with varied flexoelectric coefficients (l¯0=0.15, l¯1=0.3, l¯2=0.15, p0=1×1022 m-3, δ¯=1, α=0, and β=0): (a) dispersion; (b) real component of the phase velocity; (c) imaginary component of the phase velocity (color online)"
Fig. 4
Dispersion and attenuation characteristics with varied micro-inertia characteristic lengths (f¯=0.6, l¯1=0.3, l¯2=0.15, p0=1×1022 m−3, δ¯=1, α=0, and β=0): (a) dispersion; (b) real component of the phase velocity; (c) imaginary component of the phase velocity (color online)"
Fig. 5
Dispersion and attenuation characteristics with varied strain gradient characteristic lengths (f¯=0.6, l¯0=0.15, l¯2=0.15, p0=1×1022 m-3, δ¯=1, α=0, and β=0): (a) dispersion; (b) real component of the phase velocity; (c) imaginary component of the phase velocity (color online)"
Fig. 6
Dispersion and attenuation characteristics with varied electric field gradient characteristic lengths (f¯=0.6, l¯0=0.15, l¯1=0.3, p0=1×1022 m−3, δ¯=1, α=0, and β=0): (a) dispersion; (b) real component of the phase velocity; (c) imaginary component of the phase velocity (color online)"
Fig. 7
Dispersion and attenuation characteristics with varied PSC layer thicknesses (f¯=0.6, l¯0=0.15, l¯1=0.3, l¯2=0.15, p0=1×1022 m−3, α=0, and β=0): (a) dispersion; (b) real component of the phase velocity; (c) imaginary component of the phase velocity (color online)"
Fig. 8
Dispersion and attenuation characteristics with varied steady-state carrier concentrations (f¯=0.6, l¯0=0.15, l¯1=0.3, l¯2=0.15, δ¯=1, α=0, and β=0): (a) dispersion; (b) real component of the phase velocity; (c) imaginary component of the phase velocity (color online)"
Fig. 9
Dispersion and attenuation characteristics with varied bias electric field intensities in the x1-direction (f¯=0.6, l¯0=0.15, l¯1=0.3, l¯2=0.15, p0=1×1022 m−3, δ¯=1, and β=0): (a) dispersion; (b) real component of the phase velocity; (c) imaginary component of the phase velocity (color online)"
Fig. 10
Dispersion and attenuation characteristics with varied bias electric field intensities in the x3-direction (f¯=0.6, l¯0=0.15, l¯1=0.3, l¯2=0.15, p0=1×1022 m−3, δ¯=1, and α=0): (a) dispersion; (b) real component of the phase velocity; (c) imaginary component of the phase velocity (color online)"
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