Wave propagation and instabilities in monolithic and periodically structured elastomeric materials undergoing large deformations

Physical Review B - Condensed Matter and Materials Physics

Volumn 78, Issue 18, 2008, Pages

  Bertoldi, K ^a,b   Boyce, M C ^a  

^a USA   (United States)

^b UNIVERSITY OF TWENTE   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 57349131017     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.78.184107     Document Type: Article

References (42)

1. L. J. Gibson and M. F. Ashby, Cellular Solids: Structure and Properties (Cambridge University Press, Cambridge, 1997).
2. M. S. Kushwaha, P. Halevi, L. Dobrzynski, and B. Djafari-Rouhani, Phys. Rev. Lett. 71, 2022 (1993). 10.1103/PhysRevLett.71.2022
3. M. S. Kushwaha and B. Djafari-Rouhani, J. Appl. Phys. 80, 3191 (1996). 10.1063/1.363259
4. M. S. Kushwaha and B. Djafari-Rouhani, J. Appl. Phys. 88, 2877 (2000). 10.1063/1.1288229
5. M. Kafesaki, M. M. Sigalas, and E. N. Economou, Solid State Commun. 96, 285 (1995). 10.1016/0038-1098(95)00444-0
6. J. O. Vasseur, B. Djafari-Rouhani, L. Dobrzynski, M. S. Kushwaha, and P. Halevi, J. Phys.: Condens. Matter 6, 8759 (1994). 10.1088/0953-8984/6/42/008
7. J. O. Vasseur, B. Djafari-Rauhani, L. Dobrzynski, and P. A. Deymier, J. Phys.: Condens. Matter 9, 7327 (1997). 10.1088/0953-8984/9/35/008
8. J. O. Vasseur, P. A. Deymier, A. Khelif, Ph. Lambin, B. Djafari-Rouhani, A. Akjouj, L. Dobrzynski, N. Fettouhi, and J. Zemmouri, Phys. Rev. E 65, 056608 (2002). 10.1103/PhysRevE.65.056608
9. M. Sigalas and E. N. Economou, Solid State Commun. 86, 141 (1993). 10.1016/0038-1098(93)90888-T
10. A. Khelif, P. A. Deymier, B. Djafari-Rouhani, J. O. Vasseur, and L. Dobrzynski, J. Appl. Phys. 94, 1308 (2003). 10.1063/1.1557776
11. O. Sigmund and J. S. Jensen, Philos. Trans. R. Soc. London, Ser. A 361, 1001 (2003). 10.1098/rsta.2003.1177
12. P. Langlet, A. C. Hladky-Hennion, and J. N. Decarpigny, J. Acoust. Soc. Am. 98, 2792 (1995). 10.1121/1.413244
13. M. Åberg and P. Gudmundson, J. Acoust. Soc. Am. 102, 2007 (1997). 10.1121/1.419652
14. C. G. Poulton, A. B. Movchan, R. C. McPhedran, N. A. Nicorovici, and Y. A. Antipov, Proc. R. Soc. London, Ser. A 456, 2543 (2000). 10.1098/rspa.2000. 0624
15. M. Maldovan and E. L. Thomas, Appl. Phys. Lett. 88, 251907 (2006). 10.1063/1.2216885
16. P. St. Russell, E. Marin, A. Diez, S. Guenneau, and A. B. Movchan, Opt. Express 11, 2555 (2003).
17. S. Guenneau, A. Movchan, C. Poulton, and A. Nicolet, Q. J. Mech. Appl. Math. 57, 407 (2004). 10.1093/qjmam/57.3.407
18. M. Campbell, D. N. Sharp, M. T. Harrison, R. G. Denning, and A. J. Turberfield, Nature (London) 404, 53 (2000). 10.1038/35003523
19. S. John, Phys. Rev. Lett. 58, 2486 (1987). 10.1103/PhysRevLett.58.2486
20. M. Ulbricht, Polymer 47, 2217 (2006). 10.1016/j.polymer.2006.01.084
21. M. Théry, V. Racine, A. Pépin, M. Piel, Y. Chen, J. B. Sibarita, and M. Bornens, Nat. Cell Biol. 7, 947 (2005). 10.1038/ncb1307
22. S. J. Hollister, Nature Mater. 4, 518 (2005). 10.1038/nmat1421
23. M. Geissler and Y. N. Xia, Adv. Mater. (Weinheim, Ger.) 16, 1249 (2004). 10.1002/adma.200400835
24. N. Bowden, S. Brittain, A. G. Evans, J. W. Hutchinson, and G. M. Whitesides, Nature (London) 393, 146 (1998). 10.1038/30193
25. D. Y. Khang, H. Q. Jiang, Y. Huang, and J. A. Rogers, Science 311, 208 (2006). 10.1126/science.1121401
26. D. P. Holmes and A. J. Crosby, Adv. Mater. (Weinheim, Ger.) 19, 3589 (2007). 10.1002/adma.200700584
27. C. M. Stafford, C. Harrison, K. L. Beers, A. Karim, E. J. Amis, M. R. Vanlandingham, H. C. Kim, W. Volksen, R. D. Miller, and E. E. Simonyi, Nature Mater. 3, 545 (2004). 10.1038/nmat1175
28. T. Mullin, S. Deschanel, K. Bertoldi, and M. C. Boyce, Phys. Rev. Lett. 99, 084301 (2007). 10.1103/PhysRevLett.99.084301
29. K. Bertoldi, M. C. Boyce, S. Deschanel, S. M. Prange, and T. Mullin, J. Mech. Phys. Solids 56, 2642 (2008). 10.1016/j.jmps.2008.03.006
30. K. Bertoldi and M. C. Boyce, Phys. Rev. B 77, 052105 (2008). 10.1103/PhysRevB.77.052105
31. G. Geymonat, S. Muller, and N. Triantafyllidis, Arch. Ration. Mech. Anal. 122, 231 (1993). 10.1007/BF00380256
32. N. Triantafyllidis, M. D. Nestorovic, and M. W. Schraad, ASME J. Appl. Mech. 73, 505 (2006). 10.1115/1.2126695
33. C. Kittel, Introduction to Solid State Physics, seventh ed. (Wiley, New York, Chichester, 1986).
34. S. Guenneau and A. B. Movchan, Arch. Ration. Mech. Anal. 171, 129 (2004). 10.1007/s00205-003-0288-z
35. A. N. Gent, Rubber Chem. Technol. 69, 59 (1996).
36. M. Danielsson, D. M. Parks, and M. C. Boyce, J. Mech. Phys. Solids 50, 351 (2002). 10.1016/S0022-5096(01)00060-6
37. J. C. Michel, O. Lopez-Pamies, P. Ponte-Castaneda, and N. Triantafyllidis, J. Mech. Phys. Solids 55, 900 (2007). 10.1016/j.jmps.2006.11. 006
38. Z. Hou, F. Wu, and Y. Liu, Solid State Commun. 130, 745 (2004). 10.1016/j.ssc.2004.03.052
39. C. Goffaux and J. P. Vigneron, Phys. Rev. B 64, 075118 (2001). 10.1103/PhysRevB.64.075118
40. D. Caballero, J. Sanchez-Dehesa, C. Rubio, R. Martinez-Sala, J. V. Sanchez-Perez, F. Meseguer, and J. Llinares, Phys. Rev. E 60, R6316 (1999). 10.1103/PhysRevE.60.R6316
41. Y. Yao, Z. Hou, and Y. Liu, Phys. Lett. A 362, 494 (2007). 10.1016/j.physleta.2006.10.061
42. M. C. Boyce, Rubber Chem. Technol. 69, 781 (1996).