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Surface wave speed of functionally gradient piezoelectric semiconductors

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Abstract

In this paper, a shear surface wave propagating along the surface of a functionally graded piezoelectric semiconductor half-space (FGPS), the material parameters of that are assumed to be exponentially increased along the thickness direction, is investigated. Firstly, a governing equation of FGPS with the existence of biasing electric field along the wave propagation direction is formulated. Then, the solution of the equation is assumed and the amplitude ratios to that of the electric potential are derived. At last, the surface conditions lead to a coefficient determination about the wave velocity and the dispersive curves can be obtained. The influences of the semiconduction effect and the material gradient index in FGPS on the dispersive curves are discussed. The result can provide theoretical support for the application of FGPS materials.

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Funding

This work was supported by the Natural Science Foundation of Heilongjiang Province of China [Grant Number LH2020A023] and the Heilongjiang Province Education Department Scientific Research Project [Grant Number 135309478].

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Correspondence to Li Li.

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Wang, W.H., Li, L., Lan, M. et al. Surface wave speed of functionally gradient piezoelectric semiconductors. Arch Appl Mech 92, 1905–1912 (2022). https://doi.org/10.1007/s00419-022-02155-9

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  • DOI: https://doi.org/10.1007/s00419-022-02155-9

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