Effects of geometric and material nonlinearities on tunable band gaps and low-frequency directionality of phononic crystals

被引：186

作者：

Wang, Pai ^{[1
]}

Shim, Jongmin ^{[2
]}

Bertoldi, Katia ^{[1
,3
]}

机构：

[1] Harvard Univ, Sch Engn & Appl Sci, Cambridge, MA 02138 USA

[2] SUNY Buffalo, Dept Civil Struct & Environm Engn, Buffalo, NY 14260 USA

[3] Harvard Univ, Kavli Inst, Cambridge, MA 02138 USA

来源：

PHYSICAL REVIEW B | 2013年 / 88卷 / 01期

关键词：

HOMOGENIZATION; BEHAVIOR;

D O I：

10.1103/PhysRevB.88.014304

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We investigate the effects of geometric and material nonlinearities introduced by deformation on the linear dynamic response of two-dimensional phononic crystals. Our analysis not only shows that deformation can be effectively used to tune the band gaps and the directionality of the propagating waves, but also reveals how geometric and material nonlinearities contribute to the tunable response of phononic crystals. Our numerical study provides a better understanding of the tunable response of phononic crystals and opens avenues for the design of systems with optimized properties and enhanced tunability.

引用

页数：6

共 27 条

[1]

[Anonymous], 2009, Periodic Materials and Interference Lithography: For Photonics, Phononics and Mechanics

[2] Mechanics of deformation-triggered pattern transformations and superelastic behavior in periodic elastomeric structures [J].

Bertoldi, K. ;

Boyce, M. C. ;

Deschanel, S. ;

Prange, S. M. ;

Mullin, T. .

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2008, 56 (08) :2642-2668

[3] Wave propagation and instabilities in monolithic and periodically structured elastomeric materials undergoing large deformations [J].

Bertoldi, K. ;

Boyce, M. C. .

PHYSICAL REVIEW B, 2008, 78 (18)

[4] Anisotropy-induced broadband stress wave steering in periodic lattices [J].

Casadei, F. ;

Rimoli, J. J. .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2013, 50 (09) :1402-1414

[5] Vibration control of plates through hybrid configurations of periodic piezoelectric shunts [J].

Casadei, Filippo ;

Beck, Benjamin S. ;

Cunefare, Kenneth A. ;

Ruzzene, Massimo .

JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 2012, 23 (10) :1169-1177

[6] Periodic shunted arrays for the control of noise radiation in an enclosure [J].

Casadei, Filippo ;

Dozio, Lorenzo ;

Ruzzene, Massimo ;

Cunefare, Kenneth A. .

JOURNAL OF SOUND AND VIBRATION, 2010, 329 (18) :3632-3646

[7] Observation and tuning of hypersonic bandgaps in colloidal crystals [J].

Cheng, Wei ;

Wang, Jianjun ;

Jonas, Ulrich ;

Fytas, George ;

Stefanou, Nikolaos .

NATURE MATERIALS, 2006, 5 (10) :830-836

[8] Floquet-Bloch decomposition for the computation of dispersion of two-dimensional periodic, damped mechanical systems [J].

Collet, M. ;

Ouisse, M. ;

Ruzzene, M. ;

Ichchou, M. N. .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2011, 48 (20) :2837-2848

[9] A new constitutive relation for rubber [J].

Gent, AN .

RUBBER CHEMISTRY AND TECHNOLOGY, 1996, 69 (01) :59-61

[10] HOMOGENIZATION OF NONLINEARLY ELASTIC-MATERIALS, MICROSCOPIC BIFURCATION AND MACROSCOPIC LOSS OF RANK-ONE CONVEXITY [J].

GEYMONAT, G ;

MULLER, S ;

TRIANTAFYLLIDIS, N .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1993, 122 (03) :231-290

← 1 2 3 →