Voltage-controlled complete stopbands in two-dimensional soft dielectrics

被引:43
作者
Getz, Roey [1 ]
Kochmann, Dennis M. [2 ]
Shmuel, Gal [1 ]
机构
[1] Technion Israel Inst Technol, Fac Mech Engn, IL-32000 Haifa, Israel
[2] CALTECH, Grad Aerosp Labs, Pasadena, CA 91125 USA
关键词
Dielectric elastomer; Wave propagation; Band gap; Composite; Phononic crystal; Plane wave expansion; Nonlinear elasticity; ACOUSTIC BAND-STRUCTURE; UNIVERSAL RELATIONS; PERIODIC STRUCTURES; PHONONIC CRYSTALS; WAVE-PROPAGATION; GAPS; DEFORMATION; INVARIANTS; ELASTOMERS; STABILITY;
D O I
10.1016/j.ijsolstr.2016.10.002
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Dielectric elastomers deform and stiffen when subjected to voltage. This work demonstrates how fiber composites made of incompressible dielectric elastomers exhibit complete band gaps frequency ranges in which elastic wave propagation is prohibited, irrespective of its polarization and direction. To this end, we first analytically determine the quasi-static response of a wide class of composites to an electric field along the fibers. We then formulate and calculate incremental motions of general polarization propagating in the deformed composite, using a plane wave expansion approach. We numerically explore the dependency of the motion on the composite properties and electric field. We show how complete band gaps are tuned by adjusting the electric field, owing to resultant geometrical and physical changes. These results suggest that soft dielectrics can serve as tunable waveguides and filters. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码:24 / 36
页数:13
相关论文
共 68 条
[11]   Electromechanical Interplay in Deformable Dielectric Elastomer Networks [J].
Cohen, Noy ;
deBotton, Gal .
PHYSICAL REVIEW LETTERS, 2016, 116 (20)
[12]   Dangers of using the edges of the Brillouin zone [J].
Craster, R. V. ;
Antonakakis, T. ;
Makwana, M. ;
Guenneau, S. .
PHYSICAL REVIEW B, 2012, 86 (11)
[13]  
Creegan A., 2014, P SOC PHOTO-OPT INS, V9056
[14]   Electroactive heterogeneous polymers: Analysis and applications to laminated composites [J].
deBotton, G. ;
Tevet-Deree, L. ;
Socolsky, E. A. .
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES, 2007, 14 (01) :13-22
[15]   Tunability of Bragg band gaps in one-dimensional piezoelectric phononic crystals using external capacitances [J].
Degraeve, Sebastien ;
Granger, Christian ;
Dubus, Bertrand ;
Vasseur, Jerome O. ;
Mai Pham Thi ;
Hladky, Anne-Christine .
SMART MATERIALS AND STRUCTURES, 2015, 24 (08)
[16]   Nonlinear electroelasticity [J].
Dorfmann, A ;
Ogden, RW .
ACTA MECHANICA, 2005, 174 (3-4) :167-183
[17]   Electroelastic waves in a finitely deformed electroactive material [J].
Dorfmann, A. ;
Ogden, R. W. .
IMA JOURNAL OF APPLIED MATHEMATICS, 2010, 75 (04) :603-636
[18]   Tuning the band-gap of phononic crystals with an initial stress [J].
Feng, Rongxin ;
Liu, Kaixin .
PHYSICA B-CONDENSED MATTER, 2012, 407 (12) :2032-2036
[19]   Theory and experiments on elastic band gaps [J].
García-Pablos, D ;
Sigalas, M ;
de Espinosa, FRM ;
Torres, M ;
Kafesaki, M ;
García, N .
PHYSICAL REVIEW LETTERS, 2000, 84 (19) :4349-4352
[20]   The dielectric breakdown limit of silicone dielectric elastomer actuators [J].
Gatti, Davide ;
Haus, Henry ;
Matysek, Marc ;
Frohnapfel, Bettina ;
Tropea, Cameron ;
Schlaak, Helmut F. .
APPLIED PHYSICS LETTERS, 2014, 104 (05)