Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2022-2pp.396-411

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Chuang Yang, Jiangong Yu, Cancan Liu, and Bo Zhang, "Elastic Wave Reflection/Transmission in Non-Homogeneous Magneto-Electro-Elastic Nanoplates Based on the Modified Couple Stress Theory," Mech. Solids. 57 (2), 396-411 (2022)
Year 2022 Volume 57 Number 2 Pages 396-411
DOI 10.3103/S0025654422020121
Title Elastic Wave Reflection/Transmission in Non-Homogeneous Magneto-Electro-Elastic Nanoplates Based on the Modified Couple Stress Theory
Author(s) Chuang Yang (School of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo, 454003, China)
Jiangong Yu (School of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo, 454003, China)
Cancan Liu (School of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo, 454003, China, hpuliucancan@163.com)
Bo Zhang (School of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo, 454003, China)
Abstract The reflection and transmission of SH waves through functionally graded magneto-electro-elastic nanoplates sandwiched in two elastic half-spaces are investigated. The modified couple stress theory is combined with the extended Legendre orthogonal polynomial method to perform the derivation process. At the same time, the corresponding multilayered approximate model is solved by the global matrix method. The results of the two methods are compared to confirm the correctness. The influences of size-dependent effects, inhomogeneity and magnetoelectric effect on reflection and transmission are discussed. The results show that the Legendre orthogonal polynomial method can solve the reflection and transmission of non-homogeneous nanoplates without delamination. The couple stress effect, inhomogeneity and magnetoelectric effect change the resonant frequency and critical angle. The couple stress effect and magnetoelectric effect on reflection and transmission behavior are mutually inhibited.
Keywords SH wave, reflection and transmission, couple stress theory, legendre orthogonal polynomial, global matrix method
Received 31 August 2021Revised 14 October 2021Accepted 24 November 2021
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