Plane wave expansion and extended plane wave expansion formulations for Mindlin-Reissner elastic metamaterial thick plates

Author(s)

Miranda, Jr., E. J. P. ^{[1, 2, 3]} ; Rodrigues, S. F. ^[2] ; Aranas, Jr., C. ^[4] ; Dos Santos, J. M. C. ^[3]

Affiliation

^[1] Fed Inst Maranhao, IFMA EIB DE, Rua Afonso Pena, 174, BR-65010030 Sao Luis, Maranhao - Brazil

^[2] Fed Inst Maranhao, IFMA PPGEM, Ave Getulio Vargas, 4, BR-65030005 Sao Luis, Maranhao - Brazil

^[3] Univ Estadual Campinas, UNICAMP FEM DMC, Rua Mendeleyev, 200, BR-13083970 Campinas, SP - Brazil

^[4] Univ New Brunswick, Dept Mech Engn, Fredericton, NB E3B 5A3 - Canada

• Document type: Journal article
• Source: Journal of Mathematical Analysis and Applications; v. 505, n. 2 JAN 15 2022.
• Web of Science Citations: 0

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. (C) 2021 Elsevier Inc. All rights reserved. (AU)

• FAPESP's process: 18/15894-0 - Periodic structure design and optimization for enhanced vibroacoustic performance: ENVIBRO
• Grantee: Carlos de Marqui Junior
• Support Opportunities: Research Projects - Thematic Grants