On the dynamic behaviour of a two-dimensional elastic metamaterial system

被引：33

作者：

Li, Zhengwei ^{[1
]}

Wang, Xiaodong ^{[1
]}

机构：

[1] Univ Alberta, Dept Mech Engn, Edmonton, AB T6G 2G8, Canada

来源：

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES | 2016年 / 78-79卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

Metamaterial; Two-dimensional; Elastic wave; Negative mass; Negative modulus; HOMOGENIZATION;

D O I：

10.1016/j.ijsolstr.2015.08.028

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A two-dimensional mechanical system with local resonators is proposed as an elastic metamaterial model that exhibits both negative mass and negative modulus under specific frequencies. The proposed representative cell, which consists of a series of properly arranged local elements, can generate controllable translational and rotational resonance. By adjusting the local property of the element negative mass and negative modulus can be achieved independently. The dynamic behaviour of the developed metamaterial system under different loading frequencies is studied in detail and the effective mass and effective elastic modulus under different loading frequencies are evaluated. Examples of harmonic elastic waves in this two-dimensional metamaterial system are studied to illustrate the effect of the generated negative mass and/or modulus on wave propagation. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：174 / 181

页数：8

共 30 条

[1] Negative Effective Mass Density of One-Dimensional Hierarchical Metacomposite [J].

An, Xiyue ;

Sun, Fangfang ;

Yu, Peishi ;

Fan, Hualin ;

He, Shiping ;

Fang, Daining .

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2015, 82 (03)

[2] Homogenisation for elastic photonic crystals and dynamic anisotropy [J].

Antonakakis, T. ;

Craster, R. V. ;

Guenneau, S. .

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2014, 71 :84-96

[3] 3D Soft Metamaterials with Negative Poisson's Ratio [J].

Babaee, Sahab ;

Shim, Jongmin ;

Weaver, James C. ;

Chen, Elizabeth R. ;

Patel, Nikita ;

Bertoldi, Katia .

ADVANCED MATERIALS, 2013, 25 (36) :5044-5049

[4] Elastic metamaterials with inertial locally resonant structures: Application to lensing and localization [J].

Bigoni, D. ;

Guenneau, S. ;

Movchan, A. B. ;

Brun, M. .

PHYSICAL REVIEW B, 2013, 87 (17)

[5] HIGH FREQUENCY HOMOGENISATION FOR ELASTIC LATTICES [J].

Colquitt, D. J. ;

Craster, R. V. ;

Makwana, M. .

QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 2015, 68 (02) :203-230

[6] Novel negative mass density resonant metamaterial unit cell [J].

Cselyuszka, Norbert ;

Secujski, Milan ;

Crnojevic-Bengin, Vesna .

PHYSICS LETTERS A, 2015, 379 (1-2) :33-36

[7] Ultrasonic metamaterials with negative modulus [J].

Fang, Nicholas ;

Xi, Dongjuan ;

Xu, Jianyi ;

Ambati, Muralidhar ;

Srituravanich, Werayut ;

Sun, Cheng ;

Zhang, Xiang .

NATURE MATERIALS, 2006, 5 (06) :452-456

[8] Theoretical investigation of the behavior of an acoustic metamaterial with extreme Young's modulus [J].

Huang, H. H. ;

Sun, C. T. .

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2011, 59 (10) :2070-2081

[9] On the negative effective mass density in acoustic metamaterials [J].

Huang, H. H. ;

Sun, C. T. ;

Huang, G. L. .

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2009, 47 (04) :610-617

[10] Multicoaxial cylindrical inclusions in locally resonant phononic crystals [J].

Larabi, H. ;

Pennec, Y. ;

Djafari-Rouhani, B. ;

Vasseur, J. O. .

PHYSICAL REVIEW E, 2007, 75 (06)

← 1 2 3 →