An elastic metamaterial with simultaneously negative mass density and bulk modulus

Applied Physics Letters

Volumn 98, Issue 25, 2011, Pages

  Liu, X N ^a,b   Hu, G K ^b   Huang, G L ^a   Sun, C T ^c  

^a University of Arkansas   (United States)

^b BEIJING INSTITUTE OF TECHNOLOGY   (China)

^c Purdue University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EFFECTIVE BULK MODULUS; NEGATIVE EFFECTIVE MASS; NEGATIVE MASS DENSITY; NEGATIVE REFRACTIONS; PROPAGATION PROPERTIES; ROTATIONAL RESONANCE; SOLID MATERIAL; UNIT STRUCTURE;

ACOUSTIC WAVE PROPAGATION; ACOUSTICS; METAMATERIALS;

ELASTIC MODULI;

EID: 79959602755     PISSN: 00036951     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3597651     Document Type: Article

References (23)

1. V. G. Veselago, Sov. Phys. Usp. 0038-5670 10, 509 (1968). 10.1070/PU1968v010n04ABEH003699
2. R. A. Shelby, D. R. Smith, and S. Schultz, Science 0036-8075 292, 77 (2001). 10.1126/science.1058847 (Pubitemid 32289127)
3. J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, IEEE Trans. Microwave Theory Tech. 0018-9480 47, 2075 (1999). 10.1109/22.798002
4. D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, Phys. Rev. Lett. 0031-9007 84, 4184 (2000). 10.1103/PhysRevLett.84.4184
5. J. B. Pendry, Phys. Rev. Lett. 0031-9007 85, 3966 (2000). 10.1103/PhysRevLett.85.3966 (Pubitemid 32027228)
6. N. Engheta and R. W. Ziolkowski, IEEE Trans. Microwave Theory Tech. 0018-9480 53, 1535 (2005). 10.1109/TMTT.2005.845188 (Pubitemid 40665676)
7. C. Luo, M. Ibanescu, S. G. Johnson, and J. D. Joannopoulos, Science 0036-8075 299, 368 (2003). 10.1126/science.1079549 (Pubitemid 36120034)
8. Z. Y. Liu, X. Zhang, Y. Mao, Y. Y. Zhu, C. T. Chan, and P. Sheng, Science 0036-8075 289, 1734 (2000). 10.1126/science.289.5485.1734
9. N. Fang, D. J. Xi, J. Y. Xu, M. Ambrati, W. Sprituravanich, C. Sun, and X. Zhang, Nature Mater. 1476-1122 5, 452 (2006). 10.1038/nmat1644 (Pubitemid 43838907)
10. Y. Q. Ding, Z. Y. Liu, C. Y. Qiu, and J. Shi, Phys. Rev. Lett. 0031-9007 99, 093904 (2007). 10.1103/PhysRevLett.99.093904 (Pubitemid 47357775)
11. J. Li and C. T. Chan, Phys. Rev. E 1063-651X 70, 055602 (2004). 10.1103/PhysRevE.70.055602 (Pubitemid 40086362)
12. K. Deng, Y. Q. Ding, Z. J. He, H. P. Zhao, J. Shi, and Z. Y. Liu, J. Appl. Phys. 0021-8979 105, 124909 (2009). 10.1063/1.3153976
13. Y. Wu, L. Yun, and Z. Q. Zhang, Phys. Rev. B 0556-2805 76, 205313 (2007). 10.1103/PhysRevB.76.205313
14. S. Zhang, L. Yin, and N. Fang, Phys. Rev. Lett. 0031-9007 102, 194301 (2009). 10.1103/PhysRevLett.102.194301
15. Y. Wu and Z. Q. Zhang, Phys. Rev. B 0556-2805 79, 195111 (2009). 10.1103/PhysRevB.79.195111
16. Q. Ni and J. Cheng, Phys. Rev. B 0556-2805 72, 014305 (2005). 10.1103/PhysRevB.72.014305
17. R. Lakes, Int. J. Mech. Sci. 0020-7403 43, 1579 (2001). 10.1016/S0020-7403(00)00100-4 (Pubitemid 32396304)
18. G. W. Milton and J. Willis, Proc. R. Soc. London, Ser. A 0950-1207 463, 855 (2007).
19. 9 Pa for lead. Here, ρ , K, and μ denote density, bulk moduli, and shear moduli, respectively.
20. X. N. Liu, G. K. Hu, C. T. Sun, and G. L. Huang, J. Sound Vib. 0022-460X 330, 2536 (2011). 10.1016/j.jsv.2010.12.014
21. A. C. Eringen, Microcontinuum Field Theories I: Foundations and Solids (Springer, New York, 1999).
22. C. E. S. Selector 4.0 http://www.grantadesign.com/products/ces/.
23. C. Kittel, Introduction to Solid State Physics, 3rd ed. (Wiley, New York, 1966).