Elastic waves in a hybrid multilayered piezoelectric plate
X. Han1, H. Ding∗2, G. R. Liu1
College of Mechanical & Automotive Engineering, Hunan University, Changsha 410082, P. R. China, hanxu@hnu.cn
Corresponding author, Institute of Mechanics, CAS 15 Northwest road of 4th Round, Haidian Beijing 100080, P. R. China, Hding@imech.as.cn
An analytical-numerical method is presented for analyzing dispersion and characteristic surface of waves in a hybrid multilayered piezoelectric plate. In this method, the multilayered piezoelectric plate is divided into a number of layered elements with three-nodal-lines in the wall thickness, the coupling between the elastic field and the electric field is considered in each element. The associated frequency dispersion equation is developed and the phase velocity and slowness, as well as the group velocity and slowness are established in terms of the Rayleigh quotient. Six characteristic wave surfaces are introduced to visualize the effects of anisotropy and piezoelectricity on wave propagation. Examples provide a full understanding for the complex phenomena of elastic waves in hybrid multilayered piezoelectric media.
Han, X., Ding, H., Liu, G. R. (2005). Elastic waves in a hybrid multilayered piezoelectric plate. CMES-Computer Modeling in Engineering & Sciences, 9(1), 49–56. https://doi.org/10.3970/cmes.2005.009.049
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