Plane wave expansion and extended plane wave expansion formulations for Mindlin-Reissner elastic metamaterial thick plates
02 engineering and technology
0210 nano-technology
DOI:
10.1016/j.jmaa.2021.125503
Publication Date:
2021-07-19T21:29:02Z
AUTHORS (4)
ABSTRACT
Abstract The plane wave expansion (PWE) and the extended plane wave expansion (EPWE) formulations are derived in order to obtain the complex dispersion relation of flexural waves in a metamaterial Mindlin-Reissner thick plate with multiple periodic resonators. These new formulations are useful to obtain more accurate results at higher frequencies than those based on Kirchhoff-Love thin plate theory. Multiple periodic resonators with multiple degrees of freedom (M-DOF) attached to metamaterial thick plates broaden the applications for wave attenuation in high frequencies.
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