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The technology of ultrasound can be used to evaluate properties of functionally graded materials(FGMs). Because of the inhomogeneity of the FGM properties, distribution function is used to describe the FGM elastic constant and density which are assumed to vary in the direction of the thickness. Taylor expansion method is used to solve Lamb wave propagation problems in FGMs, in which the distribution function is an arbitrary function. Phase velocity dispersion curves for Lamb waves in iron-based alumina FGMs are obtained by using an extension of the Legendre polynomial approach, and the effects of the gradient variation of iron-based alumina FGMs properties on Lamb wave propagation characteristics are discussed in detail. The conclusion could be useful for inversing elastic constant and density, which are varied along the thickness direction, of FGMs.
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Keywords:
- functionally gradient materials /
- Lamb waves /
- Legendre polynomial /
- distribution function
[1] Han Q B, Qian M L, Zhu C P 2007 Acta Phys. Sin. 56 313 (in Chinese) [韩庆邦、钱梦禄、朱昌平 2007 物理学报 56 313]
[2] Chona R, Suh C S, Rabroker G A 2003 Optics and Lasers in Engineering 40 371
[3] Dewhurst R J, Edwards C, McKie A D W, Palmer S B 1987 Appl. Phys. Lett. 51 1066
[4] Xu B Q, Shen Z H, Ni X W 2004 Appl. Phys. Lett. 85 6161
[5] Yuan L, Shen Z H, Ni X W 2007 Acta Phys. Sin. 56 7058 (in Chinese) [袁 玲、沈中华、倪晓武 2007 物理学报 56 7058]
[6] Sun H X, Xu B Q, Wang J J, Xu G D, Xu C G, Wang F 2009 Acta Phys. Sin. 58 6344 (in Chinese) [孙宏祥、许伯强、王纪俊、徐晨光、王 峰 2009 物理学报 58 6344]
[7] Hurley D H, Spicer J B 2004 J. Acoust. Soc. Am. 116 2914
[8] Cai C, Liu G R, Lam K Y 2001 Journal of Sound and Vibration 248 71
[9] Kim Y, Hunt W D 1990 IEEE Ultrasonics Symposium 90 179
[10] Lefebvre J E, Zhang V, Gazalet J 1999 J. Appl. Phys. 85 3419
[11] Datta S, Hunsinger B J 1978 J. Appl. Phys. 49 475
[12] Lefebvre J E, Zhang V, Gazalet J 2001 IEEE Trans. Ultrason. Ferroelect. Freq. Contr. 48 1332
[13] Elmaimouni L, Lefebvre J E, Zhang V 2005 NDT & E International 38 344
[14] Liu G R, Han X, Xu Y G, Lam K Y 2001 Composites Science and Technology 61 1401
[15] Yang J, Cheng J C, Berthelot Y H 2002 J. Acoust. Soc. Am. 111 1245
[16] Yu J G, Wu B 2009 NDT & E International 42 452
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[1] Han Q B, Qian M L, Zhu C P 2007 Acta Phys. Sin. 56 313 (in Chinese) [韩庆邦、钱梦禄、朱昌平 2007 物理学报 56 313]
[2] Chona R, Suh C S, Rabroker G A 2003 Optics and Lasers in Engineering 40 371
[3] Dewhurst R J, Edwards C, McKie A D W, Palmer S B 1987 Appl. Phys. Lett. 51 1066
[4] Xu B Q, Shen Z H, Ni X W 2004 Appl. Phys. Lett. 85 6161
[5] Yuan L, Shen Z H, Ni X W 2007 Acta Phys. Sin. 56 7058 (in Chinese) [袁 玲、沈中华、倪晓武 2007 物理学报 56 7058]
[6] Sun H X, Xu B Q, Wang J J, Xu G D, Xu C G, Wang F 2009 Acta Phys. Sin. 58 6344 (in Chinese) [孙宏祥、许伯强、王纪俊、徐晨光、王 峰 2009 物理学报 58 6344]
[7] Hurley D H, Spicer J B 2004 J. Acoust. Soc. Am. 116 2914
[8] Cai C, Liu G R, Lam K Y 2001 Journal of Sound and Vibration 248 71
[9] Kim Y, Hunt W D 1990 IEEE Ultrasonics Symposium 90 179
[10] Lefebvre J E, Zhang V, Gazalet J 1999 J. Appl. Phys. 85 3419
[11] Datta S, Hunsinger B J 1978 J. Appl. Phys. 49 475
[12] Lefebvre J E, Zhang V, Gazalet J 2001 IEEE Trans. Ultrason. Ferroelect. Freq. Contr. 48 1332
[13] Elmaimouni L, Lefebvre J E, Zhang V 2005 NDT & E International 38 344
[14] Liu G R, Han X, Xu Y G, Lam K Y 2001 Composites Science and Technology 61 1401
[15] Yang J, Cheng J C, Berthelot Y H 2002 J. Acoust. Soc. Am. 111 1245
[16] Yu J G, Wu B 2009 NDT & E International 42 452
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