Transmission and band gaps of elastic SH waves in functionally graded periodic laminates

International Journal of Solids and Structures

Volumn 49, Issue 2, 2012, Pages 344-354

  Golub, M V ^a,b   Fomenko, S I ^a   Bui, T Q ^b   Zhang, Ch ^b   Wang, Y S ^c  

^a KUBAN STATE UNIVERSITY   (Russian Federation)

^b UNIVERSITY OF SIEGEN   (Germany)

^c BEIJING JIAOTONG UNIVERSITY   (China)

Author keywords

Band gaps; Functionally graded; Laminates; Periodic; SH waves; Transfer matrix method; Wave transmission

Indexed keywords

BAND GAPS; FUNCTIONALLY GRADED; PERIODIC; SH-WAVES; TRANSFER MATRIXES;

ENERGY GAP; LAMINATED COMPOSITES; LAMINATES; NUMERICAL METHODS; PAPER LAMINATES; SHEAR WAVES; TRANSFER MATRIX METHOD;

WAVE TRANSMISSION;

EID: 81755165773     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2011.10.013     Document Type: Article

References (41)

1. K. Aki, and P.G. Richards Quantitative seismology second ed. 2002 University Science Books
2. V.A. Babeshko, E.V. Glushkov, and N.V. Glushkova Energy vortices and backward fluxes in elastic waveguides Wave Motion 16 1992 183 192
3. A. Boström, and M.V. Golub Elastic SH wave propagation in a layered anisotropic plate with interface damage modelled by spring boundary conditions Quarterly Journal of Mechanics and Applied Mathematics 62 2009 39 52
4. L.M. Brekhovskikh, and O.A. Godin Acoustics of Layered Media I. Plane and Quasi-Plane Waves 1998 Springer Berlin/ Heidelberg
5. L. Brillouin Wave Propagation in Periodic Structures 1946 McGraw-Hill New York
6. H.A. Bruck A one-dimensional model for designing functionally graded materials to manage stress waves International Journal of Solids and Structures 44 2000 6383 6395
7. Y.J. Cao, Z.L. Hou, and Y.Y. Liu Finite difference time domain method for band gap calculations of two-dimensional phononic crystals Solid State Communications 132 2004 539 543
8. A. Chakraborty, and S. Gopalakrishnan A spectrally formulated finite element for wave propagation analysis in functionally graded beams International Journal of Solids and Structures 40 2003 2421 2448 (Pubitemid 36557950)
9. A. Chakraborty, and S. Gopalakrishnan A higher-order spectral element for wave propagation analysis in functionally graded materials Acta Mechanica 172 2004 17 43 (Pubitemid 40002918)
10. A. Chakraborty, and S. Gopalakrishnan Wave propagation in inhomogeneous layered media: solution of forward and inverse problems Acta Mechanica 169 2004 153 185
11. X. Checoury, and J.M. Lourtioz Wavelet method for computing band diagram of 2D phononic crystals Optics Communications 259 2006 360 365 (Pubitemid 43099058)
12. A.L. Chen, and Y.S. Wang Study on band gaps of elastic waves propagating in one-dimensional disordered phononic crystals Physica B: Condensed Matter 392 2007 369 378
13. T.C. Chiu, and F. Erdogan One-dimensional wave propagation in a functionally graded elastic medium Journal of Sound and Vibration 222 1999 453 487 (Pubitemid 129605836)
14. N. Cretu, and G. Nita Pulse propagation in finite elastic inhomogeneous media Journal of Sound and Vibration 222 2004 453 487
15. E.V. Glushkov, and N.V. Glushkova On the efficient implementation of the integral equation method in elastodynamics Journal of Computational Acoustics 9 3 2001 889 898 (Pubitemid 33366253)
16. C. Goffaux, and J.P. Vigneron Theoretical study of a tunable phononic band gap system Physical Review B 64 2001 075118
17. M.V. Golub, C. Zhang, and Y.S. Wang SH-wave propagation and resonance phenomena in a periodically layered composite structure with a crack Journal of Sound and Vibration 333 2011 3141 3154
18. X. Han, and G.R. Liu Effects of SH waves in a functionally graded plate Mechanics Research Communications 29 5 2002 327 338 (Pubitemid 35289709)
19. N. Haskell The dispersion of surface waves in multi-layered media Bulletin of the Seismological Society of America 43 1953 17 34
20. J.S. Jensen Phononic band gaps and vibrations in one- and two-dimensional mass-spring structures Journal of Sound and Vibration 266 2003 1053 1078
21. M. Kafesaki, and E.N. Economou Multiple-scattering theory for three-dimensional periodic acoustic composites Physical Review B 60 1999 11993
22. M.S. Kushwaha Band gap engineering in phononic crystals Recent Research Developments in Applied Physics 2 1999 743 855
23. J. Lekner Matrix methods in reflection and transmission of compressional waves by stratified media Journal of the Acoustical Society of America 87 1990 2319 2324 (Pubitemid 20289705)
24. Z.Y. Li, and L.L. Lin Phononic band structures solved by a plane-wave-based transfer-matrix method Physical Review E 67 2003 046607
25. F.M. Li, and Y.S. Wang Study on wave localization in disordered periodic layered piezoelectric composite structures International Journal of Solids and Structures 42 2005 6457 6474
26. C. Li, X. Han, and X. Wen Band-structure results for elastic waves interpreted with multiple-scattering theory Physical Review B 74 2006 153101
27. I.V. Lisenkov, S.A. Nikitov, R.S. Popov, and C.K. Kim Propagation of elastic waves in phononic crystals Journal of Communications Technology and Electronics 52 2007 1037 1048 (Pubitemid 47536607)
28. Y. Liu, and L.T. Gao Explicit dynamic finite element method for band-structure calculations of 2D phononic crystals Solid State Communications 144 2007 89 93 (Pubitemid 47418874)
29. M. Maldovan, and E.L. Thomas Periodic Materials and Interference Lithography for Photonics Phononics and Mechanics 2009 Wiley-VCH Verlag GmbH & Co. KGaA Weinheim, Germany
30. A. Robins Refection of plane acoustic-waves from a layer of varying density Journal of the Acoustical Society of America 87 1990 1546 1552 (Pubitemid 20256447)
31. R. Sainidou, N. Stefanou, and A. Modinos Green's function formalism for phononic crystals Physical Review B 69 2004 064301
32. H.S. Shen Functionally Graded Materials: Nonlinear Analysis of Plates and Shells 2009 CRC Press Taylor & Francis Group USA
33. J.H. Sun, and T.T. Wu Propagation of acoustic waves in phononic crystal plates and waveguides using a finite-difference time domain method Physical Review B 76 2007 104304
34. S. Suresh, and A. Mortensen Fundamentals of Functionally Graded Materials 1998 IOM Communications Ltd. London
35. R.A. Tenenbaum, and M. Zindeluk An exact solution for the one-dimensional elastic wave-equation in layered media Journal of the Acoustical Society of America 92 1992 3364 3370
36. W. Thomson Transmission of elastic waves in stratified solid medium Journal of Applied Physics 21 1950 89 94
37. G. Wang, J. Wen, Y.Z. Liu, and X. Wen Lumped-mass method for the study of band structure in two-dimensional phononic crystals Physical Review B 69 2004 184302
38. Y.Z. Wang, F.M. Li, K. Kishimoto, Y.S. Wang, and W.H. Huang Elastic wave band gaps in magnetoelectroelastic phononic crystals Wave Motion 46 2009 47 56
39. M.L. Wu, L.Y. Wu, W.P. Yang, and L.W. Chen Elastic wave band gaps of one-dimensional phononic crystals with functionally graded materials Smart Materials and Structures 18 2009 115013
40. Z.Z. Yan, and Y.S. Wang Wavelet-based method for calculating elastic band gaps of two-dimensional phononic crystals Physical Review B 74 2006 224303
41. J.Y. Yeh, and L.W. Chen Wave propagations of a periodic sandwich beam by FEM and the transfer matrix method Composite Structures 73 2006 53 60