Reflection and transmission of elastic waves through nonlocal piezoelectric plates sandwiched in two solid half-spaces

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.

Automated summary

A novel nonlocal stress expansion method is proposed to study the elastic wave propagation through piezoelectric nanoplates sandwiched in two solid half-spaces, without utilizing the relationship between local and nonlocal stress. The results show that the nonlocal effect reconstructs the wave mode conversion and enhances the influence of piezoelectricity on the critical angle.