Elastic metamaterials with inertial locally resonant structures: Application to lensing and localization

Physical Review B - Condensed Matter and Materials Physics

Volumn 87, Issue 17, 2013, Pages

  Bigoni, D ^a   Guenneau, S ^b   Movchan, A B ^c   Brun, M ^c,d  

^a UNIVERSITY OF TRENTO   (Italy)

^b AIX MARSEILLE UNIVERSITÉ   (France)

^c UNIVERSITY OF LIVERPOOL   (United Kingdom)

^d UNIVERSITY OF CAGLIARI   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84878593787     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.87.174303     Document Type: Article

References (39)

1. N. A. Nicorovici, R. C. McPhedran, and G. W. Milton, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.49.8479 49, 8479 (1994).
2. N. A. Nicorovici and G. W. Milton, Proc. R. Soc. London A 1364-5021 10.1098/rspa.2006.1715 462, 3027 (2006). (Pubitemid 44619992)
3. V. G. Veselago, Sov. Phys. Usp. SOPUAP 0038-5670 10.1070/ PU1968v010n04ABEH003699 10, 509 (1968).
4. J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, IEEE Trans. Microwave Theory Tech. IETMAB 0018-9480 10.1109/22.798002 47 (11), 2075 (1999).
5. D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.4184 84 (18), 4184 (2000).
6. A. B. Movchan and S. Guenneau, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.70.125116 70, 125116 (2004).
7. S. Guenneau, A. B. Movchan, G. Petursson, and S. A. Ramakrishna, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/9/11/399 9, 399 (2007). (Pubitemid 350099180)
8. M. Brun, A. B. Movchan, and N. V. Movchan, Continuum Mech. Thermodyn. CMETEJ 0935-1175 10.1007/s00161-010-0143-z 22, 663 (2010).
9. M. Brun, S. Guenneau, A. B. Movchan, and D. Bigoni, J. Mech. Phys. Solids JMPSA8 0022-5096 10.1016/j.jmps.2010.06.008 58, 1212 (2010).
10. Z. Y. Liu, X. X. Zhang, Y. W. Mao, Y. Y. Zhu, Z. Y. Yang, C. T. Chan, and P. Sheng, Science SCIEAS 0036-8075 10.1126/science.289.5485.1734 289, 1734 (2000).
11. J. Mei, Z. Liu, W. Wen, and P. Sheng, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.024301 96, 024301 (2006). (Pubitemid 43248238)
12. J. Li and C. T. Chan, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.70. 055602 70, 055602 (2004). (Pubitemid 40086362)
13. N. Fang, D. Xi, J. Xu, M. Ambati, W. Srituravanich, C. Sun, and X. Zhang, Nat. Mater. 1476-1122 10.1038/nmat1644 5, 452 (2004).
14. G. W. Milton, M. Briane, and J. R. Willis, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/8/10/248 8, 248 (2006). (Pubitemid 44631329)
15. M. Brun, S. Guenneau, and A. B. Movchan, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.3068491 94, 061903 (2009).
16. G. W. Milton, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/9/10/359 9, 359 (2007). (Pubitemid 47591660)
17. A. Norris, Proc. R. Soc. London A 1364-5021 10.1098/rspa.2008.0076 464, 2411 (2008).
18. D. Bigoni, S. K. Serkov, M. Valentini, and A. B. Movchan, Int. J. Solids Struct. IJSOAD 0020-7683 10.1016/S0020-7683(97)00366-1 35, 3239 (1998). (Pubitemid 28416114)
19. S. A. Cummer and D. Schurig, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/9/3/045 9, 45 (2006).
20. H. Chen and C. T. Chan, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.2803315 91, 183518 (2007). (Pubitemid 350037254)
21. S. A. Cummer, B. I. Popa, D. Schurig, D. R. Smith, J. B. Pendry, M. Rahm, and A. Starr, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.024301 100, 024301 (2008). (Pubitemid 351388995)
22. M. Farhat, S. Enoch, S. Guenneau, and A. B. Movchan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.134501 101, 134501 (2008).
23. X. Hu, Y. Shen, X. Liu, R. Fu, and J. Zi, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.69.030201 69, 030201 (2004).
24. M. Farhat, S. Guenneau, S. Enoch, and A. B. Movchan, J. Comput. Appl. Math. JCAMDI 0377-0427 10.1016/j.cam.2009.08.052 234, 2011 (2010).
25. M. Farhat, S. Guenneau, S. Enoch, and A. B. Movchan, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.046309 80, 046309 (2009).
26. S. Yang, J. H. Page, Z. Liu, M. L. Cowan, C. T. Chan, and P. Sheng, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.024301 93, 024301 (2004).
27. X. Zhou and G. Hu, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.79. 195109 79, 195109 (2009).
28. J. Li, L. Fok, X. Yin, G. Bartal, and X. Zhang, Nat. Mater. 1476-1122 10.1038/nmat2561 8, 931 (2009).
29. S. H. Lee, C. M. Park, Y. M. Seo, Z. G. Wang, and C. K. Kim, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.054301 104, 054301 (2010).
30. Y. Lai, Y. Wu, P. Sheng, and Z. Q. Zhang, Nat. Mater. 1476-1122 10.1038/nmat3043 10, 620 (2011).
31. M. Farhat, S. Guenneau, S. Enoch, A. B. Movchan, and G. Petursson, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.3327813 96, 081909 (2010).
32. C. P. Chen and R. S. Lakes, Cellular Polymers 8, 343 (1989).
33. D. Prall and R. S. Lakes, Int. J. Mech. Sci. IMSCAW 0020-7403 10.1016/S0020-7403(96)00025-2 39, 305 (1996).
34. K. Wojciechowski, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(89) 90971-7 137, 60 (1989).
35. A. Spadoni and M. Ruzzene, J. Mech. Phys. Solids JMPSA8 0022-5096 10.1016/j.jmps.2011.09.012 60, 156 (2012).
36. X. N. Liu, G. L. Huang, and G. K. Hua, J. Mech. Phys. Solids JMPSA8 0022-5096 10.1016/j.jmps.2012.06.008 60, 1907 (2012).
37. P. St. Russell, E. Marin, A. Diez, S. Guenneau, and A. B. Movchan, Opt. Express OPEXFF 1094-4087 10.1364/OE.11.002555 11 (20), 2555 (2003).
38. S. Guenneau, A. Movchan, C. Poulton, and A. Nicolet, Q. J. Mech. Appl. Math. QJMMAV 0033-5614 10.1093/qjmam/57.3.407 57, 407 (2004).
39. C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.65.201104 65, 201104 (2002).