Applied Mathematics and Mechanics >
Wave propagation in functionally graded piezoelectric sandwich doubly-curved nanoplates based on nonlocal strain gradient theory
Received date: 2025-12-17
Revised date: 2026-02-01
Online published: 2026-03-31
Supported by
Project supported by the National Natural Science Foundation of China (No. 12402113), the National Natural Science Foundation of Sichuan Province of China (Nos. 2022NSFSC2003 and 2024NSFSC0037), the Guizhou Provincial Basic Research Program (Natural Science) (No. 2024ZK599), the Natural Science Research Program for Higher Education Institutions of the Guizhou Provincial Department of Education (Youth Science and Technology Talent Growth Program of Guizhou Education and Technology) of China (No. 250), and the Joint Fund Project of Bijie Science and Technology of China (No. 144)
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This study examines the wave propagation behavior of functionally graded (FG) piezoelectric sandwich doubly-curved nanoplates subjected to thermo-electric loading. The sandwich nanoplates are composed of a piezoelectric layer and an FG interlayer, deposited on a viscoelastic substrate, where the material parameters of the FG interlayer are influenced by temperature variations. By establishing a nonlocal strain gradient constitutive equation that incorporates piezoelectric and thermal effects, the displacement and strain fields of doubly-curved structures are formulated within the framework of first-order shear deformation theory (FSDT). The governing equations are derived using Hamilton’s principle, and then the dispersion relations for the doubly-curved nanoplates are computed through harmonic solution methods. Finally, the systematic analysis is conducted to investigate the effects of curvature parameters, scale parameters, FG indices, and foundation parameters on the wave propagation characteristics. The findings contribute to a deeper understanding of the wave propagation behavior of complex doubly-curved sandwich structures.
Jie WANG , Juan LIU , Yinghui LI , Cheng LI , Bo ZHANG , Biao HU , Huoming SHENG . Wave propagation in functionally graded piezoelectric sandwich doubly-curved nanoplates based on nonlocal strain gradient theory[J]. Applied Mathematics and Mechanics, 2026 , 47(4) : 767 -790 . DOI: 10.1007/s10483-026-3369-7
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