Mechanically tunable phononic band gaps in three-dimensional periodic elastomeric structures

International Journal of Solids and Structures

Volumn 49, Issue 19-20, 2012, Pages 2881-2885

  Wang, Lifeng ^a   Bertoldi, Katia ^b  

^a Clarkson University   (United States)

^b HARVARD UNIVERSITY   (United States)

Author keywords

Elasticity; Large deformations; Phononic

Indexed keywords

ELASTOMERIC STRUCTURE; LARGE DEFORMATIONS; PHONONIC; PHONONIC BAND GAPS; PHONONIC CRYSTAL; STRUCTURAL DETAILS;

DEFORMATION; ELASTICITY; ENERGY GAP; THREE DIMENSIONAL; THREE DIMENSIONAL COMPUTER GRAPHICS;

PERIODIC STRUCTURES;

EID: 84864452990     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2012.05.008     Document Type: Conference Paper

References (21)

1. K. Bertoldi, and M.C. Boyce Mechanically-triggered transformations of phononic band gaps in periodic elastomeric structures Phys. Rev. B 77 2008 052105
2. K. Bertoldi, and M.C. Boyce Wave propagation and instabilities in monolithic and periodically structured elastomeric materials undergoing large deformations Phys. Rev. B 78 2008 184107
3. M. Campbell, D.N. Sharp, M.T. Harrison, R.G. Denning, and A.J. Turberfield Fabrication of photonic crystals for the visible spectrum by holographic lithography Nature 404 2000 53 56
4. W. Cheng, J.J. Wang, U. Jonas, G. Fytas, and N. Stefanou Observation and tuning of hypersonic bandgaps in colloidal crystals Nat. Mater. 5 2006 830 836
5. M. Danielsson, D.M. Parks, and M.C. Boyce Three-dimensional micromechanical modeling of voided polymeric materials J. Mech. Phys. Solids 50 2002 351 379
6. T. Gorishnyy, C.K. Ullal, M. Maldovan, G. Fytas, and E.L. Thomas Hypersonic phononic crystals Phys. Rev. Lett. 94 2005 115501
7. J.-H. Jang, C.K. Ullal, T. Gorishnyy, V.V. Tsukruk, and E.L. Thomas Mechanically tunable three-dimensional elastomeric network/air structures via interference lithography Nano Lett. 6 2006 740 743
8. J.-H. Jang, C.K. Ullal, T. Choi, M.C. Lemieux, V.V. Tsukruk, and E.L. Thomas 3D polymer microframes that exploit length-scale-dependent mechanical behavior Adv. Mater. 18 2006 2123 2127
9. J.-H. Jang, C.K. Ullal, M. Maldovan, T. Gorishnyy, S. Kooi, C.Y. Koh, and E.L. Thomas 3D micro- and nanostructures via interference lithography Adv. Func. Mater. 17 2007 3027 3041
10. J.-H. Jang, C.Y. Koh, K. Bertoldi, M.C. Boyce, and E.L. Thomas Combining pattern instability and shape-memory hysteresis for phononic switching Nano Lett. 9 2009 2113 2119
11. C. Kittel Introduction to Solid State Physics seventh ed. 1986 Wiley New York, Chichester
12. M.S. Kushwaha, P. Halevi, L. Dobrzynski, and B. Djafari-Rouhani Acoustic band structure of periodic elastic composites Phys. Rev. Lett. 71 1993 2022 2025
13. M. Maldovan, and E.L. Thomas Simultaneous localization of photons and phonons in two-dimensional periodic structures Appl. Phys. Lett. 88 2006 251907
14. M. Maldovan, and E.L. Thomas Periodic Materials and Interference Lithography: for Photonics, Phononics and Mechanics 2009 Wiely-VCH Verlag GmbH & Co. KGaA Weinheim
15. R.W. Ogden Non-Linear Elastic Deformations 1984 Dover Publications
16. M.H. Qi, E. Lidorikis, P.T. Rakich, S.G. Johnson, J.D. Joannopoulos, E.P. Ippen, and H.I. Smith A three-dimensional optical photonic crystal with designed point defects Nature 429 2004 538
17. R. Sainidou, N. Stefanou, and A. Modinos Formation of absolute frequency gaps in three-dimensional solid phononic crystals Phys. Rev. B 66 2002 212 301
18. M.M. Sigalas, and E.N. Economou Elastic and acoustic-wave band-structure J. Sound Vib. 158 1992 377 382
19. M.M. Sigalas, M.S. Kushwaha, E.N. Economou, M. Kafesaki, I.E. Psarobas, and W. Steurer Classical vibrational modes in phononic lattices: theory and experiment zeitschrift fur Kristallographie 220 2005 765 809
20. L.F. Wang, M.C. Boyce, C.Y. Wen, and E.L. Thomas Plastic dissipation mechanisms in periodic microframe-structured polymers Adv. Func. Mater. 19 2009 1343 1350
21. S. Yang, M. Megens, J. Aizenberg, P. Wiltzius, P.M. Chaikin, and W.B. Russel Creating periodic three-dimensional structures by multibeam interference of visible laser Chem. Mater. 14 2002 2831