Analytic model of elastic metamaterials with local resonances

Physical Review B - Condensed Matter and Materials Physics

Volumn 79, Issue 19, 2009, Pages

  Zhou, Xiaoming ^a   Hu, Gengkai ^a  

^a BEIJING INSTITUTE OF TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 67049086156     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.79.195109     Document Type: Article

References (43)

1. Z. Y. Liu, X. Zhang, Y. Mao, Y. Y. Zhu, C. T. Chan, and P. Sheng, Science 289, 1734 (2000). 10.1126/science.289.5485.1734
2. N. Fang, D. Xi, J. Xu, M. Ambati, W. Srituravanich, C. Sun, and X. Zhang, Nature Mater. 5, 452 (2006). 10.1038/nmat1644
3. Y. Q. Ding, Z. Y. Liu, C. Y. Qiu, and J. Shi, Phys. Rev. Lett. 99, 093904 (2007). 10.1103/PhysRevLett.99.093904
4. Z. Yang, J. Mei, M. Yang, N. H. Chan, and P. Sheng, Phys. Rev. Lett. 101, 204301 (2008). 10.1103/PhysRevLett.101.204301
5. S. Guenneau, A. Movchan, G. Pétursson, and S. A. Ramakrishna, New J. Phys. 9, 399 (2007). 10.1088/1367-2630/9/11/399
6. D. Torrent and S. José, New J. Phys. 9, 323 (2007). 10.1088/1367-2630/9/9/323
7. D. Torrent and S. José, New J. Phys. 10, 023004 (2008). 10.1088/1367-2630/10/2/023004
8. X. Hu, K. M. Ho, C. T. Chan, and Z. Jian, Phys. Rev. B 77, 172301 (2008). 10.1103/PhysRevB.77.172301
9. D. R. Smith, J. B. Pendry, and M. C. K. Wiltshire, Science 305, 788 (2004). 10.1126/science.1096796
10. J. B. Pendry, Contemp. Phys. 45, 191 (2004). 10.1080/00107510410001667434
11. S. A. Ramakrishna, Rep. Prog. Phys. 68, 449 (2005). 10.1088/0034-4885/68/ 2/R06
12. Z. Liu, C. T. Chan, and P. Sheng, Phys. Rev. B 71, 014103 (2005). 10.1103/PhysRevB.71.014103
13. Z. Liu, C. T. Chan, and P. Sheng, Phys. Rev. B 65, 165116 (2002). 10.1103/PhysRevB.65.165116
14. G. Wang, X. Wen, J. Wen, L. Shao, and Y. Liu, Phys. Rev. Lett. 93, 154302 (2004). 10.1103/PhysRevLett.93.154302
15. H. Larabi, Y. Pennec, B. Djafari-Rouhani, and J. O. Vasseur, Phys. Rev. E 75, 066601 (2007). 10.1103/PhysRevE.75.066601
16. A. B. Movchan and S. Guenneau, Phys. Rev. B 70, 125116 (2004). 10.1103/PhysRevB.70.125116
17. G. W. Milton and J. R. Willis, Proc. R. Soc. London, Ser. A 463, 855 (2007). 10.1098/rspa.2006.1795
18. S. S. Yao, X. M. Zhou, and G. K. Hu, New J. Phys. 10, 043020 (2008). 10.1088/1367-2630/10/4/043020
19. C. Goffaux, J. Sanchez-Dehesa, A. Levy Yeyati, Ph. Lambin, A. Khelif, J. O. Vasseur, and B. Djafari-Rouhani, Phys. Rev. Lett. 88, 225502 (2002) 10.1103/PhysRevLett.88.225502
20. C. Goffaux and J. Sánchez-Dehesa, Phys. Rev. B 67, 144301 (2003). 10.1103/PhysRevB.67.144301
21. M. Hirsekorn, Appl. Phys. Lett. 84, 3364 (2004). 10.1063/1.1723688
22. M. Hirsekorn, P. P. Delsanto, A. C. Leung, and P. Matic, J. Appl. Phys. 99, 124912 (2006). 10.1063/1.2208528
23. D. L. Yu, Y. Z. Liu, G. Wang, H. G. Zhao, and J. Qiu, J. Appl. Phys. 100, 124901 (2006). 10.1063/1.2400803
24. D. L. Yu, Y. Z. Liu, H. G. Zhao, G. Wang, and J. Qiu, Phys. Rev. B 73, 064301 (2006). 10.1103/PhysRevB.73.064301
25. R. S. Lakes, T. Lee, A. Bersie, and Y. C. Wang, Nature (London) 410, 565 (2001). 10.1038/35069035
26. Z. G. Wang, S. H. Lee, C. K. Kim, C. M. Park, K. Nahm, and S. A. Nikitov, J. Appl. Phys. 103, 064907 (2008). 10.1063/1.2894914
27. J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, IEEE Trans. Microwave Theory Tech. 47, 2075 (1999). 10.1109/22.798002
28. J. Li and C. T. Chan, Phys. Rev. E 70, 055602 (2004). 10.1103/PhysRevE.70.055602
29. Y. Wu, L. Yun, and Z. Q. Zhang, Phys. Rev. B 76, 205313 (2007). 10.1103/PhysRevB.76.205313
30. P. Sheng, Introduction to Wave Scattering, Localization, and Mesoscopic Phenomena (Academic, San Diego, 1995).
31. A. Modinos, V. Yannopapas, and N. Stefanou, Phys. Rev. B 61, 8099 (2000). 10.1103/PhysRevB.61.8099
32. G. W. Milton, The Theory of Composites (Cambridge University Press, Cambridge, England, 2002).
33. L. D. Landau and E. M. Lifshitz, Theory of Elasticity, 3rd ed. (Butterworth-Heinemann, Oxford, 1986).
34. Q. Ni and J. C. Cheng, J. Appl. Phys. 101, 073515 (2007). 10.1063/1.2715582
35. C. E. S. Selector 4.0 (http://www.grantadesign.com/products/ces/).
36. J. Mei, Z. Y. Liu, W. J. Wen, and P. Sheng, Phys. Rev. Lett. 96, 024301 (2006). 10.1103/PhysRevLett.96.024301
37. X. M. Zhou, G. K. Hu, and T. J. Lu, Phys. Rev. B 77, 024101 (2008). 10.1103/PhysRevB.77.024101
38. M. Ambati, N. Fang, C. Sun, and X. Zhang, Phys. Rev. B 75, 195447 (2007). 10.1103/PhysRevB.75.195447
39. G. W. Milton, M. Briane, and J. R. Willis, N. J. Phys. 8, 248 (2006). 10.1088/1367-2630/8/10/248
40. M. Brun, S. Guenneau, and A. B. Movchan, Appl. Phys. Lett. 94, 061903 (2009). 10.1063/1.3068491
41. M. Farhat, S. Guenneau, S. Enoch, and A. B. Movchan, Phys. Rev. B 79, 033102 (2009). 10.1103/PhysRevB.79.033102
42. H. Chen and C. T. Chan, Appl. Phys. Lett. 91, 183518 (2007). 10.1063/1.2803315
43. Y. H. Pao and C. C. Mow, Diffraction of Elastic Waves and Dynamic Stress Concentrations (Crane and Russak, New York, 1973).