Surface effect on size-dependent wave propagation in nanoplates via nonlocal elasticity |
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| Authors: | LL Zhang XQ Fang GQ Nie |
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| Institution: | 1. Institute of Engineering Mechanics, Beijing Jiaotong University, Beijing 100044, P.R. China;2. Department of Engineering Mechanics, Shijiazhuang Tiedao University, Shijiazhuang 050043, P.R. China;3. School of Mechanical Engineering, Shijiazhuang Tiedao University, Shijiazhuang 050043, P.R. China |
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| Abstract: | Within the framework of nonlocal elasticity, the surface layer model is proposed to investigate the wave propagation characteristics in a single-layered nanoplate. The general solutions of nonlocal governing equations are expressed using partial wave technique and the nonclassical boundary conditions are derived. The dispersion relation with the effects of surface and nonlocal small-scale is obtained, and the size-dependent dispersion behaviour is demonstrated. The impacts of surface elasticity, residual surface stress and nonlocal parameter on the dispersion curves of the lowest-order two modes are illustrated. Numerical examples reveal that both the surface effect and nonlocal small-scale effect can obviously decrease the magnitude of phase velocity, and the thinner nanoplate corresponds to the smaller wave velocity and the narrower frequency bandwidth. |
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| Keywords: | surface effect nonlocal elasticity wave propagation nanoplate dispersion relation |
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