Size-dependent dispersion characteristics in piezoelectric nanoplates with surface effects |
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Institution: | 1. Department of Applied Mechanics, University of Science and Technology Beijing, Beijing 100083, China;2. Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing 100871, China;3. Department of Mathematics, Qiqihar University, Qiqihar 161006, China;4. Department of Mathematics and Science, Luoyang Institute of Science and Technology, Luoyang 471000, China |
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Abstract: | In this paper, surface effects on the dispersion characteristics of elastic waves propagating in an infinite piezoelectric nanoplate are investigated by using the surface piezoelectricity model. Based on the surface piezoelectric constitutive theory, the presence of surface stresses and surface electric displacements exerting on the boundary conditions of the piezoelectric nanoplate is taken into account in the modified mechanical and electric equilibrium relations. The partial wave technique is employed to obtain the general solutions of governing equations, and the dispersion relations with surface effects are expressed in an explicit closed form. The impacts of surface piezoelectricity, residual surface stress and plate thickness on the propagation properties of elastic waves are analyzed in detail. Numerical results show that the dispersion behaviors in piezoelectric nanoplates are size-dependent, and there exists a critical plate thickness above which the surface effects may vanish. |
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Keywords: | Piezoelectric nanoplates Surface effects Dispersion characteristics Size-dependence |
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