Computational multiple scattering analysis for shear wave propagation in unidirectional composites

International Journal of Solids and Structures

Volumn 41, Issue 2, 2004, Pages 435-457

  Biwa, S ^a   Yamamoto, S ^a   Kobayashi, F ^a   Ohno, N ^a  

^a NAGOYA UNIVERSITY   (Japan)

Author keywords

Dispersion relation; Elastic wave; Fiber reinforced composite materials; Multiple scattering; Periodic composites; Random composites; Stop band

Indexed keywords

COMPOSITE MATERIALS; EIGENVALUES AND EIGENFUNCTIONS; ENERGY TRANSFER; FIBER REINFORCED MATERIALS; FREQUENCIES; SCATTERING; SILICON ALLOYS; WAVE PROPAGATION;

ENERGY TRANSMISSION BEHAVIOR; WAVE FIELD GAINS;

SHEAR WAVES;

COMPOSITE; WAVE PROPAGATION;

EID: 0347478133     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2003.09.015     Document Type: Article

References (34)

1. Beltzer A.I. Brauner N. The dynamic response of random composites by a causal differential method Mechanics of Materials 6 1987 337-345
2. Biwa S. Shibata T. Elastic and ultrasonic properties of a unidirectional composite with partially debonded fibres: numerical analysis for longitudinal shear modes Composites Science and Technology 60 2000 83-93
3. Biwa S. Watanabe Y. Ohno N. Analysis of wave attenuation in unidirectional viscoelastic composites by a differential scheme Composites Science and Technology 63 2003 237-247
4. Bose S.K. Mal A.K. Longitudinal shear waves in a fiber-reinforced composite International Journal of Solids and Structures 9 1973 1075-1085
5. Bose S.K. Mal A.K. Elastic waves in a fiber-reinforced composite Journal of the Mechanics and Physics of Solids 22 1974 217-229
6. Cai L.-W. Williams J.H.Jr. Large-scale multiple scattering problems Ultrasonics 37 1999 453-462
7. Cai L.-W. Williams J.H.Jr. Full-scale simulations of elastic wave scattering in fiber-reinforced composites Ultrasonics 37 1999 463-482
8. Cai L.-W. Williams J.H.Jr. NDE via stop band formation in fiber reinforced composites having square fiber arrangements Ultrasonics 37 1999 483-492
9. Datta S.K. Ledbetter H.M. Kriz R.D. Calculated elastic constants of composites containing anisotropic fibers International Journal of Solids and Structures 20 1984 429-438
10. Feder J. Random sequential adsorption Journal of Theoretical Biology 87 1980 237-254
11. Foldy L.L. The multiple scattering of waves Physical Review 67 1945 107-119
12. Henderson B.K. Maslov K.I. Kinra V.K. Experimental investigation of acoustic band structures in tetragonal periodic particulate composite structures Journal of the Mechanics and Physics of Solids 49 2001 2369-2383
13. Huang W. Rokhlin S.I. Frequency dependences of ultrasonic wave velocity and attenuation in fiber composites: theory and experiments Review of Progress in Quantitative Nondestructive Evaluation vol. 14 1995 1233-1240 Plenum Press
14. Kim J.-Y. Antiplane shear wave propagation in fiber-reinforced composites Journal of the Acoustical Society of America 113 2003 2442-2445
15. Kinra V.K. Ker E.L. An experimental investigation of pass bands and stop bands in two periodic particulate composites International Journal of Solids and Structures 19 1983 393-410
16. Kittel C. Introduction to Solid State Physics fifth ed. 1976 John Wiley - Sons New York
17. Kline R.A. Nondestructive Characterization of Composite Media 1992 Technomic Pub Lancaster
18. Kushwaha M.S. Halevi P. Dobrzynski L. Djafari-Rouhani B. Acoustic band structure of periodic elastic composites Physical Review Letters 71 1993 2022-2025
19. Kushwaha M.S. Halevi P. Mart́nez G. Dobrzynski L. Djafari-Rouhani B. Theory of acoustic band structure of periodic elastic composites Physical Review B 49 1994 2313-2322
20. Liu W. Kriz R.D. Multiple wave scattering in fiber-reinforced composites: micromechanical viewpoint Wave Motion 27 1998 223-244
21. Murakami H. Hegemier G.A. A mixture model for unidirectionally fiber-reinforced composites Transactions of the ASME Journal of Applied Mechanics 53 1986 765-773
22. Naciri T. Navi P. Ehrlacher A. Harmonic wave propagation in viscoelastic heterogeneous materials: Part I. Dispersion and damping relations Mechanics of Materials 18 1994 313-333
23. Nelson R.B. Navi P. Harmonic wave propagation in composite materials Journal of the Acoustical Society of America 57 1975 773-781
24. Pao Y.-H. Mow C.-C. Diffraction of Elastic Waves and Dynamic Stress Concentrations 1971 Crane Russak New York
25. Rokhlin S.I. Huang W. Chu Y.C. Ultrasonic scattering and velocity methods for characterization of fibre-matrix interphases Ultrasonics 33 1995 351-364
26. Sobczyk K. Stochastic Wave Propagation 1985 Elsevier Amsterdam
27. Talbot D.R.S. Willis J.R. Variational estimates for dispersion and attenuation of waves in random composites: III. Fibre-reinforced materials International Journal of Solids and Structures 19 1983 793-811
28. Tourin A. Fink M. Derode A. Multiple scattering of sound Waves in Random Media 10 2000 R31-R60
29. Varadan V.K. Varadan V.V. Pao Y.-H. Multiple scattering of elastic waves by cylinders of arbitrary cross section: I. SH waves Journal of the Acoustical Society of America 63 1978 1310-1319
30. Varadan V.K. Ma Y. Varadan V.V. Multiple scattering of compressional and shear waves by fiber-reinforced composite materials Journal of the Acoustical Society of America 80 1986 333-339
31. Varadan V.K. Ma Y. Varadan V.V. Scattering and attenuation of elastic waves in random media Scattering and Attenuation of Seismic Waves, Part II 1989 577-603 Birkhauser Basel
32. Waterman P.C. New formulation of acoustic scattering Journal of the Acoustical Society of America 45 1969 1417-1429
33. Waterman P.C. Truell R. Multiple scattering of waves Journal of Mathematical Physics 2 1961 512-537
34. Yang R.-B. Mal A.K. Multiple scattering of elastic waves in a fiber-reinforced composite Journal of the Mechanics and Physics of Solids 42 12 1994 1945-1968