Elastic wave band gaps in a three-dimensional periodic metamaterial using the plane wave expansion method

被引：74
作者：
Dal Poggetto, V. F. [1 ]
Serpa, Alberto Luiz [1 ]
机构：
[1] Univ Estadual Campinas, Sch Mech Engn, Dept Computat Mech, UNICAMP, Campinas, SP, Brazil
来源：
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES | 2020年 / 184卷
关键词：
Plane wave expansion; Band gap; Metamaterial; Phononic crystal; Finite element method; FINITE-ELEMENT-METHOD; STOP BANDS; PHONONIC CRYSTALS; CUBIC ARRAYS; PROPAGATION; VIBRATIONS; SCATTERING; BEAMS; OPTIMIZATION; CONVERGENCE;
D O I：
10.1016/j.ijmecsci.2020.105841
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this work, a novel Fourier series expansion is proposed for representing periodic three-dimensional metamaterials consisting of spherical inclusions in a cubic lattice, which allows the application of the plane wave expansion (PWE) method for analyzing such media. This metamaterial may exhibit complete band gaps, thus being able to effectively attenuate elastic waves in all directions. The solutions yielded by the PWE method are rigorous at a lower computational cost when compared to the finite element (FE) method. Results are validated using the FE method, and the geometric parameters that influence the band gap formation mechanisms in this periodic medium are investigated.
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页数：15
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