Acoustic wave interaction with a laminated transversely isotropic spherical shell with imperfect bonding

Archive of Applied Mechanics

Volumn 79, Issue 2, 2009, Pages 97-112

  Hasheminejad, Seyyed M ^a   Maleki, M ^a  

^a IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Iran)

Author keywords

Acoustic radiation force; Anisotropic spherical shell; Imperfect interface; Sound wave scattering

Indexed keywords

ACOUSTIC EMISSIONS; ACOUSTIC FIELDS; ACOUSTIC RADIATORS; ACOUSTIC WAVE PROPAGATION; ACOUSTIC WAVE TRANSMISSION; ACOUSTIC WAVES; ACOUSTICS; ANISOTROPY; ELASTIC CONSTANTS; ELECTROMAGNETIC WAVE SCATTERING; FLOW INTERACTIONS; HARMONIC ANALYSIS; SCATTERING; SHELLS (STRUCTURES); SPHERES; THEOREM PROVING; TRANSFER MATRIX METHOD; WAVES;

ACOUSTIC RADIATION FORCE; ACOUSTIC WAVE INTERACTIONS; ADHESIVE BONDINGS; AMPLITUDE SPECTRUMS; ANISOTROPIC SPHERICAL SHELL; BACK SCATTERED; BONDED LAYERS; EXACT ANALYSES; FORM FUNCTIONS; HARMONIC PLANES; HOLLOW SPHERES; IMPERFECT BONDINGS; IMPERFECT INTERFACE; INTERFACIAL TRANSFERS; INTERLAMINAR; INTERLAMINAR INTERFACES; ISOTROPIC MATERIALS; LIMITING CASES; LINEAR SPRING MODELS; MATERIAL ANISOTROPIES; MATERIAL ELASTIC CONSTANTS; MODAL STATES; NUMERICAL EXAMPLES; SOUND FIELDS; SOUND WAVE SCATTERING; SPHERICAL HARMONICS; STRESS FUNCTIONS; TRANSFER MATRIXES; TRANSVERSELY ISOTROPIC SPHERICAL SHELLS; VARIABLE CO-EFFICIENT;

ACOUSTIC WAVE SCATTERING;

EID: 58149508480     PISSN: 09391533     EISSN: 14320681     Source Type: Journal    
DOI: 10.1007/s00419-008-0212-y     Document Type: Article

References (68)

1. Rayleigh L. (1945). The Theory of Sound, vol. II. Dover, New York
2. Lamb S.H. (1945). Hydrodynamics. Dover, New York
3. H. Huang 1969 Transient interaction of plane acoustic waves with spherical elastic shell J. Acoust. Soc. Am. 45 661 670
4. S.C. Tang D.H.Y. Yen 1970 Interaction of a plane acoustic wave with an elastic spherical shell J. Acoust. Soc. Am. 47 1325 1333
5. G.C. Lauchle 1976 Interaction of a spherical acoustic wave with an elastic spherical shell J. Sound Vib. 44 37 46
6. G.C. Gaunaurd W. Wertman 1991 Transient acoustic scattering by fluid-loaded elastic shells Int. J. Solids Struct. 27 699 711
7. M.M. Ettouney R.P. Daddazio F.L. DiMaggio 1991 Wet modes of submerged structures. Part I. Theory, ASME, noise control and acoustics division NCA Struct. Acoust. 12 203 211
8. T. Hasegawa A. Annou H. Noda M. Kato 1993 Acoustic radiation pressure acting on spherical and cylindrical shells J. Acoust. Soc. Am. 93 154 161
9. G. Kaduchak C.M. Loeffler 1998 Relationship between material parameters and target strength of fluid-filled spherical shells in water: calculations and observations IEEE J. Oceanic Eng. 23 26 30
10. W. Tang J. Fan 2000 Resonance radiation theory of a submerged elastic spherical shell Acta Acust. 25 308 312
11. Z. Yan J. Jiang M. Yan 2000 Numerical investigation on sound transmission through submerged fluid-filled elastic shell J. Shanghai Jiaotong Univ. 34 1066 1068
12. C.-C. Liang C.-Y. Hsu W.-H. Lai 2001 Study of transient responses of a submerged spherical shell under shock waves Ocean Eng. 28 71 94
13. J. Fan W.L. Tang 2001 Echoes from double elastic spherical shell covered with viscoelastic materials in water Acta Acust. 26 302 306
14. C. Scandrett 2002 Scattering and active acoustic control from a submerged spherical shell J. Acoust. Soc. Am. 111 893 907
15. F. Gao H. Hu Y. Hu 2004 Effects of an outer layer and its damping on acoustic scattering characteristics of a double-layered spherical shell immersed in water J. Huazhong Univ. Sci. Technol. (Nat. Sci. Ed.) 32 102 104
16. W. Li G.R. Liu V.K. Varadan 2005 Estimation of radius and thickness of a thin spherical shell in water using the midfrequency enhancement of a short tone burst response J. Acoust. Soc. Am. 118 2147 2153
17. F.G. Mitri 2005 Acoustic radiation force acting on absorbing spherical shells Wave Motion 43 12 19
18. F.G. Mitri 2005 Acoustic radiation force acting on elastic and viscoelastic spherical shells placed in a plane standing wave field Ultrasonics 43 681 691
19. F.G. Mitri 2006 Calculation of the acoustic radiation force on coated spherical shells in progressive and standing plane waves Ultrasonics 44 244 258
20. A. Tesei W.L.J. Fox A. Maguer A. Lovik 2000 Target parameter estimation using resonance scattering analysis applied to air-filled, cylindrical shells in water J Acoust. Soc. Am. 108 2891 2910
21. F. Honarvar A.N. Sinclair 1998 Nondestructive evaluation of cylindrical components by resonance acoustic spectroscopy Ultrasonics 36 845 854
22. M. Talmant H. Batard 1994 Material characterization and resonant scattering by cylinders Proc. IEEE Ultrason. Symp. 3 1371 1380
23. Migliori A. and Sarrao J.L. (1997). Resonant Ultrasound Spectroscopy: Applications to Physics, Materials Measurements and Nondestructive Evaluation. Wiley, New York
24. G.C. Gaunaurd M.F. Werby 1990 Acoustic resonance scattering by submerged elastic shells Appl. Mech. Rev. 43 8 171 207
25. Überall H. (1992). Acoustic Resonance Scattering. Gordon and Breach Science, Philadelphia, PN
26. Veksler N.D. (1993). Resonance Acoustic Spectroscopy. Springer Series on Wave Phenomena, Berlin
27. P.P. Raju 1975 On shallow shells of transversely isotropic materials J. Press. Vessel Technol. Trans. ASME Ser J 97 185 191
28. M. Maiti 1975 Stress in anisotropic nonhomogeneous sphere J. Eng. Mech. 101 101 108
29. G.R. Buchanan G.R. Ramirez 2002 A note on the vibration of transversely isotropic solid spheres J. Sound Vib. 253 3 724 732
30. Amburtsumian, S.A.: Theory of Anisotropic Shells. NASA Tech. Transl. F-118 (1964)
31. Amburtsumian S.A. (1966). Some current aspects of the theory of anisotropic layered shells. In: Abramsone, N. (eds) Applied Mechanics Surveys, pp. Spartan Books, Macmillan, Washington, D.C.
32. A.A. Khachaturian 1960 On Stability and Vibration of a Transversely Isotropic Spherical Shell Izv. Akad. Nauk. Arm SSSR, Ser. Fiz. Mat. Nauk 8 4 19 28
33. W.H. Hoppmann II W.E. Baker 1961 Extensional vibrations of elastic orthotropic spherical shells Trans. ASME, J. Appl. Mech. 28 229 237
34. C.V. Ramakrishnan A.H. Shah 1970 Vibration of an aeolotropic spherical shell J. Acoust. Soc. Am. 47 1366 1374
35. M. Naghieh S.I. Hayek 1971 Transmission of acoustic waves through submerged orthotropic spherical shells J. Acoust. Soc. Am. 50 1334 1342
36. H. Cohen A.H. Shah 1972 Free vibrations of a spherically isotropic hollow sphere Acustica 26 329 333
37. N.A. Shul'ga A.Y. Grigorenko T.L. Efimova 1988 Free non-axisymmetric oscillations of a thick-walled, nonhomogeneous, transversely isotropic, hollow sphere Soviet Appl. Mech. 24 439 444
38. N.A. Shul'ga A.Y. Grigorenko T.L. Efimova E.I. Ramskaya 1986 Structure of the frequency spectrum of nonaxisymmetric vibrations of a transversely isotropic hollow ball Vychislitel'naya i Prikladnaya Matematika 59 32 35
39. M.C. Narasimhan 1992 Dynamic response of laminated orthotropic spherical shells J. Acoust. Soc. Am. 91 2714 2720
40. H.J. Ding W.Q. Chen 1996 Natural frequencies of an elastic spherically isotropic hollow sphere submerged in a compressible fluid medium J. Sound Vib. 192 1 173 198
41. W.Q. Chen H.J. Ding 1999 Natural frequencies of a fluid-filled anisotropic spherical shell J. Acoust. Soc. Am. 105 174 182
42. X. Wang G. Lu S.R. Guillow 2002 Stress wave propagation in orthotropic laminated thick-walled spherical shells Int. J. Solids Struct. 39 4027 4037
43. Y. Stavsky J.B. Greenberg 2003 Radial vibrations of orthotropic laminated hollow spheres J. Acoust. Soc. Am. 113 847 851
44. W.Q. Chen H.J. Ding 2001 Free vibration of multi-layered spherically isotropic hollow spheres Int. J. Mech. Sci. 43 667 680
45. S.M. Hasheminejad M. Maleki 2008 Acoustic resonance scattering from a submerged anisotropic sphere Acoust. Phys. 54 168 179
46. W. Li G.R. Liu V.K. Varadan 2005 Estimation of radius and thickness of a thin spherical shell in water using the midfrequency enhancement of a short tone burst response J. Acoust. Soc. Am. 118 2147 2153
47. S.S. Abeysekera P.S. Naidu Y.-H. Leung H. Lew 1998 Underwater target classification scheme based on the acoustic backscatter form function ICASSP, IEEE Int. Conf. Acoust. Speech Signal Processing Proc. 4 2513 2516
48. K. Nightingale M.S. Soo R. Nightingale G. Trahey 2002 Acoustic radiation force impulse imaging: in vivo demonstration of clinical feasibility Ultras. Med. Biol. 28 227 235
49. M. Fatemi J.F. GreenLeaf 1998 Ultrasound stimulated vibro-acoustic spectroscopy Science 280 82 85
50. M. Fatemi J.F. GreenLeaf 1999 Vibro-acoustography: an imaging modality based on ultrasound-stimulated acoustic emission Natl. Acad. Sci. USA 96 6603 6608
51. F. Dunn A.J. Averbach D.J. O'Brein 1977 A primary method for the determination of ultrasonic intensity with the elastic sphere radiometer Acustica 38 58 61
52. Pierce A.D. (1991). Acoustics; An Introduction to its Physical Principles and Applications. American Institute of Physics, New York
53. Morse P.M. and Ingard K.U. (1968). Theoretical Acoustics. McGraw-Hill, New York
54. Abramowitz M. and Stegun I.A. (1964). Handbook of Mathematical Functions. National Bureau of Standards, Washington, DC
55. Love A.E.H. (1944). A Treatise on the Mathematical Theory of Elasticity. Dover, New York
56. Lekhnitskii S.G. (1981). Theory of Elasticity of an Anisotropic Body. Mir Publishers, Moscow
57. Ding, H.J., Chen, W.Q., Zhang, L.: Elasticity of Transversely Isotropic Materials. Series: Solid Mechanics and Its Applications, vol. 126. Springer, Berlin (2006)
58. S.M. Hasheminejad M. Maleki 2006 Interaction of a plane progressive sound wave with a functionally graded spherical shell Ultrasonics 45 165 177
59. S.I. Rokhlin Y.J. Wang 1991 Analysis of boundary conditions for elastic wave interaction with an interface between two solids J. Acoust. Soc. Am. 89 503 515
60. P.A. Martin 1992 Boundary integral equations for the scattering of elastic waves by elastic inclusions with thin interface layers J. Nondestruct. Eval. 11 167 174
61. W. Huang S.I. Rokhlin Y.J. Wang 1997 Analysis of different boundary condition models for study of wave scattering from fiber-matrix interphases J. Acoust. Soc. Am. 101 2031 2042
62. D. Liu L. Xu X. Lu 1994 Stress analysis of imperfect composite laminates with an interlaminar bonding theory Int. J. Numer. Meth. Eng. 37 2819 2839
63. Z. Hashin 1991 The spherical inclusion with imperfect interface Trans. ASME, J. Appl. Mech. 58 444 449
64. K. Yosioka Y. Kawasima 1955 Acoustic radiation pressure on a compressible sphere Acustica 5 167 173
65. G.S. Sammelmann D.H. Trivett R.H. Hackman 1989 The acoustic scattering by a submerged, spherical shell. I: The bifurcation of the dispersion curve for the spherical antisymmetric Lamb wave J. Acoust. Soc. Am. 85 114 124
66. G.C. Gaunaurd M.F. Werby 1991 Lamb and creeping waves around submerged spherical shells resonantly excited by sound scattering. II: Further applications J. Acoust. Soc. Am. 89 1656 1667
67. Graff K.F. (1991). Wave Motion in Elastic Solids. Dover Publications, New York
68. R. Leiderman A.M.B. Braga 2005 Scattering of ultrasonic waves by defective adhesion interfaces in submerged laminated plates J. Acoust. Soc. Am. 118 2154 2166