Browse > Article
http://dx.doi.org/10.12989/sem.2012.41.6.751

Locating a weakened interface in a laminated elastic plate  

Zhu, J. (Department of Civil Engineering, Zhejiang University, Zijingang Campus)
Yang, J.S. (Department of Engineering Mechanics, University of Nebraska)
Chen, W.Q. (State Key Lab of CAD & CG, Zhejiang University, Zijingang Campus)
Publication Information
Structural Engineering and Mechanics / v.41, no.6, 2012 , pp. 751-758 More about this Journal
Abstract
We study thickness-shear (TSh) free vibrations of an unbounded, laminated elastic plate with three layers of different materials. One of the two interfaces is slightly weakened as described by the shear-lag model that allows the displacement to be discontinuous across the interface. A frequency equation is obtained from the linear theory of elasticity. A perturbation solution of the frequency equation is obtained from which the frequency shifts of TSh modes due to the weakened interface can be calculated. It is shown that the frequency shifts of TSh modes of different orders are different, and they satisfy different conditions when different interfaces are weakened. These conditions are obtained which can potentially be used as criteria for determining specifically which interface is weakened.
Keywords
locating; thickness-shear; laminated elastic plate; TSh modes; weakened interface; frequency shifts;
Citations & Related Records
 (Related Records In Web of Science)
연도 인용수 순위
  • Reference
1 Accuratus Corporation, "Fused Silica, $SiO_2$ Material Properties", http://accuratus.com/fused.html, 2012-02-02.
2 Chen, W.Q., Cai, J.B. and Ye, G.R. (2003), "Exact solutions of cross-ply laminates with bonding imperfections", AIAA J., 41(11), 2244-2250.   DOI   ScienceOn
3 Chen, W.Q., Cai, J.B. and Ye, G.R. (2005), "Responses of cross-ply laminates with viscous interfaces in cylindrical bending," Comput. Meth. Appl. M., 194(6-8), 823-835.   DOI   ScienceOn
4 Chen, W.Q., Wang, Y.F., Cai, J.B. and Ye, G.R. (2004), "Three-dimensional analysis of cross-ply laminated cylindrical panels with weak interfaces", Int. J. Solids Struct., 41(9-10), 2429-2446.   DOI   ScienceOn
5 Chen, Y.J., Shib, Y.W. and Zhang, X.P. (1998), "Detection of weak bonding in friction welds by ultrasound", Ultrasonics, 36(1-5), 141-146.   DOI   ScienceOn
6 Cheng, Z.Q., Kennedy, D. and Williams, F.W. (1996), "Effect of interfacial imperfection on buckling and bending behavior of composite laminates", AIAA J., 34(12), 2590-2595.   DOI   ScienceOn
7 Di Sciuva, M. (1997), "Geometrically nonlinear theory of multilayered plates with interlayer slips", AIAA J., 35(11), 1753-1759.   DOI   ScienceOn
8 Fan, H., Yang, J.S. and Xu, L.M. (2006), "Piezoelectric waves near an imperfectly bonded interface between two half-spaces", Appl. Phys. Lett., 88(20), 203509.   DOI   ScienceOn
9 Friswell, M.I. (2007), "Damage identification using inverse methods", Phil. Trans. R. Soc. A., 365(1851), 393-410.   DOI   ScienceOn
10 Friswell, M.I. and Mottershead, J.E. (2001), "Inverse methods in structural health monitoring", Key Eng. Mat., 204-205, 201-210.   DOI
11 Icardi, U., Di Sciuva, M. and Librescu, L. (2000), "Dynamic response of adaptive cross-ply cantilevers featuring interlaminar bonding imperfections", AIAA J., 38(3), 499-506.   DOI   ScienceOn
12 Jin, F., Kishimoto, K., Inoue, H. and Tateno, T. (2005), "Experimental investigation on the interface properties evaluation in piezoelectric layered structures by loves waves propagation", Key Eng. Mat., 297-300, 807-812.   DOI
13 Kumar, R. and Singh, M. (2009), "Effect of rotation and imperfection on reflection and transmission of plane waves in anisotropic generalized thermoelastic media", J. Sound Vib., 324(3-5), 773-797.   DOI   ScienceOn
14 Li, F.M., Wang, Y.Z., Fang, B. and Wang, Y.S. (2007), "Propagation and localization of two- dimensional inplane elastic waves in randomly disordered layered piezoelectric phononic crystals", Int. J. Solids Struct., 44(22-23), 7444-7456.   DOI   ScienceOn
15 Librescu, L. and Schmidt, R. (2001), "A general linear theory of laminated composite shells featuring interlaminar bonding imperfections", Int. J. Solids Struct., 38(19), 3355-3375.   DOI   ScienceOn
16 Lu, X. and Liu, D. (1992), "Interlaminar shear slip theory for cross-ply laminates with non-rigid interfaces", AIAA J., 30(4), 1063-1073.   DOI
17 Shu, X.P. (2001), "Vibration and bending of antisymmetrically angle-ply laminated plates with perfectly and weakly bonded layers", Compos. Struct., 53(2), 245-255.   DOI   ScienceOn
18 Piskunov, V.G. and Rasskazov, A.O. (2002), "Evolution of the theory of laminated plates and shells", Int. Appl. Mech., 38(2), 135-166.   DOI   ScienceOn
19 Reddy, J.N. (2004), Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, CRC Press, Boca Raton.
20 Rinker, B.A., Jamieson, E.E., Samayoa, J.A., Abeln, T.G., Lerch, T.P. and Neal, S.P. (2003), "Detection of weak interface signals for same material bond/weld inspection", AIP Conf. Proc., 657(1), 1080-1087.
21 Tomar, S.K. and Gogna, M.L. (1995), "Reflection and refraction of longitudinal wave at an interface between two micropolar elastic solids in welded contact", J. Acoust. Soc. Am., 97(2), 822-830.   DOI   ScienceOn
22 Tsubouchi, K., Sugai, K. and Mikoshiba, N. (1981), "AlN material constants evaluation and SAW properties on $AlN/Al_2O_3$ and AlN/Si", IEEE Ultrasonics Symp., 375-380.
23 Wang, Y.Z., Li, F.M., Huang, W.H. and Wang, Y.S. (2008), "The propagation and localization of Rayleigh waves in disordered piezoelectric phononic crystals", J. Mech. Phys. Solids, 56(4), 1578-1590.   DOI   ScienceOn
24 Wang, Y.Z., Li, F.M., Kishimoto, K., Wang, Y.S. and Huang, W.H. (2010), "Wave localization in randomly disordered layered three-component phononic crystals with thermal effects", Arch. Appl. Mech., 80(6), 629-640.   DOI   ScienceOn
25 Yang, J.S., Hu, Y.T., Zeng, Y. and Fan, H. (2006), "Thickness-shear vibration of rotated Y-cut quartz plates with imperfectly bonded surface mass layers", IEEE Trans. Ultrason. Ferroelect. Freq. Contr., 53(1), 241-245.   DOI
26 Yang, S., Gu, L. and Gibson R.F. (2001), "Nondestructive detection of weak joints in adhesively bonded composite structures", Compos. Struct., 51(1), 63-71.   DOI   ScienceOn