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Reflection and transmission of elastic waves through nonlocal piezoelectric plates sandwiched in two solid half-spaces
https://orcid.org/0000-0002-4129-4557
https://orcid.org/0000-0003-2570-8040
https://orcid.org/0000-0002-1993-0238
Abstract A nonlocal stress expansion Legendre orthogonal polynomial method is proposed to study the reflection and transmission of elastic waves through piezoelectric nanoplates sandwiched in two solid half-spaces. The proposed method avoids employing the relationship between local stress and nonlocal stress to construct boundary conditions. The reflection and transmission of plane waves and out-plane waves are studied separately with considering the electrical open circuit boundary. The convergence of presented method is discussed. The correctness of presented method is verified by comparing with the published data of piezoelectric nanoplates immersed in water, which can be considered as a simplified situation sandwiched in two solid half spaces. In addition, the nonlocal effect on the wave mode conversion, stress and electric displacement distribution, and piezoelectricity are discussed. Results show that the nonlocal effect reconstructs the wave mode conversion, and enhances the influence of the piezoelectricity on the critical angle.
Highlights The nonlocal stress expansion Legendre polynomial method is proposed. The nonlocal piezoelectric plates sandwiched in two solid half-spaces are studied. The nonlocal effect reconstructs the mode conversion, especially at high frequencies. The nonlocal effect enhances the piezoelectric effect on the critical angle.
Reflection and transmission of elastic waves through nonlocal piezoelectric plates sandwiched in two solid half-spaces
https://orcid.org/0000-0002-4129-4557
https://orcid.org/0000-0003-2570-8040
https://orcid.org/0000-0002-1993-0238
Abstract A nonlocal stress expansion Legendre orthogonal polynomial method is proposed to study the reflection and transmission of elastic waves through piezoelectric nanoplates sandwiched in two solid half-spaces. The proposed method avoids employing the relationship between local stress and nonlocal stress to construct boundary conditions. The reflection and transmission of plane waves and out-plane waves are studied separately with considering the electrical open circuit boundary. The convergence of presented method is discussed. The correctness of presented method is verified by comparing with the published data of piezoelectric nanoplates immersed in water, which can be considered as a simplified situation sandwiched in two solid half spaces. In addition, the nonlocal effect on the wave mode conversion, stress and electric displacement distribution, and piezoelectricity are discussed. Results show that the nonlocal effect reconstructs the wave mode conversion, and enhances the influence of the piezoelectricity on the critical angle.
Highlights The nonlocal stress expansion Legendre polynomial method is proposed. The nonlocal piezoelectric plates sandwiched in two solid half-spaces are studied. The nonlocal effect reconstructs the mode conversion, especially at high frequencies. The nonlocal effect enhances the piezoelectric effect on the critical angle.
Reflection and transmission of elastic waves through nonlocal piezoelectric plates sandwiched in two solid half-spaces
https://orcid.org/0000-0002-4129-4557
https://orcid.org/0000-0003-2570-8040
https://orcid.org/0000-0002-1993-0238
Abstract A nonlocal stress expansion Legendre orthogonal polynomial method is proposed to study the reflection and transmission of elastic waves through piezoelectric nanoplates sandwiched in two solid half-spaces. The proposed method avoids employing the relationship between local stress and nonlocal stress to construct boundary conditions. The reflection and transmission of plane waves and out-plane waves are studied separately with considering the electrical open circuit boundary. The convergence of presented method is discussed. The correctness of presented method is verified by comparing with the published data of piezoelectric nanoplates immersed in water, which can be considered as a simplified situation sandwiched in two solid half spaces. In addition, the nonlocal effect on the wave mode conversion, stress and electric displacement distribution, and piezoelectricity are discussed. Results show that the nonlocal effect reconstructs the wave mode conversion, and enhances the influence of the piezoelectricity on the critical angle.
Highlights The nonlocal stress expansion Legendre polynomial method is proposed. The nonlocal piezoelectric plates sandwiched in two solid half-spaces are studied. The nonlocal effect reconstructs the mode conversion, especially at high frequencies. The nonlocal effect enhances the piezoelectric effect on the critical angle.
Reflection and transmission of elastic waves through nonlocal piezoelectric plates sandwiched in two solid half-spaces
Liu, Cancan (author) / Yu, Jiangong (author) / Wang, Xianhui (author) / Zhang, Bo (author) / Zhang, Xiaoming (author) / Zhou, Hongmei (author)
Thin-Walled Structures ; 168
2021-08-11
Article (Journal)
Electronic Resource
English
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