Lamb waves in multilayered piezoelectric semiconductor plates

doi:10.1007/s10483-025-3287-6

Abstract

Abstract:

In this paper, we theoretically study the Lamb wave in a multilayered piezoelectric semiconductor (PSC) plate, where each layer is an n-type PSC with the symmetry of transverse isotropy. Based on the extended Stroh formalism and dual-variable and position (DVP) method, the general solution of the coupled fields for the Lamb wave is derived, and then the dispersion equation is obtained by the application of the boundary conditions. First, the influence of semiconducting properties on the dispersion behavior of the Lamb wave in a single-layer PSC plate is analyzed. Then, the propagation characteristics of the Lamb wave in a sandwich plate are investigated in detail. The numerical results show that the wave speed and attenuation depend on the stacking sequence, layer thickness, and initial carrier density, the Lamb wave can propagate without a cut-off frequency in both the homogeneous and multilayer PSC plates due to the semiconducting properties, and the Lamb wave without attenuation can be achieved by carefully selecting the semiconductor property in the upper and lower layers. These new features could be very helpful as theoretical guidance for the design and performance optimization of PSC devices.

Key words: piezoelectric semiconductor (PSC), Lamb wave, multilayer plate, dispersion, attenuation

2010 MSC Number:

O343.1

Ru TIAN, Lisha YI, Guoquan NIE, Jinxi LIU, Ernian PAN, Yuesheng WANG. Lamb waves in multilayered piezoelectric semiconductor plates. Applied Mathematics and Mechanics (English Edition), 2025, 46(8): 1493-1510.

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Figures/Tables 12

Fig. 1

Fig. 2

Fig. 3

Fig. 4

Fig. 5

Fig. 6

Fig. 7

Fig. 8

Table 1

Dimensionless wavenumber kh at Ω=5 in the sandwich Z/G/Z plate with varying initial carrier density n0Z for fixed n0G=1×1019 m-3"

$k h$	$n 0Z = 1 × 1015$ m^-3	PE-PSC-PE	$n 0Z = 1 × 1025$ m^-3	ED-PSC-ED
Re(kh)	10.199 559	10.200 9	10.451 7	10.432 4
Im(kh)	0.025 06	0.021 2	0.006 22	0.002 93

Table 1

Table 2

Dimensionless wavenumber kh at Ω=5 in the sandwich Z/G/Z plate with varying initial carrier density n0G for fixed n0Z=1×1020 m-3"

kh	$n 0G = 1 × 1015$ m^-3/10	PSC-PE-PSC	$n 0G = 1 × 1025$ m^-3/10	PSC-ED-PSC
Re(kh)	10.222 1	10.217 6	10.412 5	10.263 6
Im(kh)	0.056 22	0.063	0.018 4	0.054 5

Table 2

Fig. 9

Fig. 10

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