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Volumn 42, Issue 14, 2005, Pages 3971-3997

Propagation of shear elastic waves in composites with a random set of spherical inclusions (effective field approach)

Author keywords

Attenuation factor; Dispersion; Effective field method; Elastic composites; Homogenization problem; Mean wave field; Phase velocity

Indexed keywords

ATTENUATION; DIFFRACTION; DISPERSION (WAVES); INCLUSIONS; MICROSTRUCTURE; NUMERICAL METHODS; SCATTERING; WAVE PROPAGATION;

EID: 13844320057     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2005.01.002     Document Type: Article
Times cited : (30)

References (31)
  • 4
    • 0006236490 scopus 로고
    • Electromagnetic wave propagation in polycrystalline materials: Effective medium approach
    • P. Bussemer, K. Hehl, S. Kassam, and M.I. Kaganov Electromagnetic wave propagation in polycrystalline materials: effective medium approach Waves in Random Media 2 1991 113 131
    • (1991) Waves in Random Media , vol.2 , pp. 113-131
    • Bussemer, P.1    Hehl, K.2    Kassam, S.3    Kaganov, M.I.4
  • 5
    • 85012583689 scopus 로고
    • A self -consistent approach to multiple scattering of elastic waves
    • S.K. Datta A self -consistent approach to multiple scattering of elastic waves Journal of Applied Mechanics 44 1977 657 662
    • (1977) Journal of Applied Mechanics , vol.44 , pp. 657-662
    • Datta, S.K.1
  • 6
    • 0024000221 scopus 로고
    • Phase velocity and attenuation of plane elastic waves in particle-reinforced composite medium
    • S.K. Datta, H.M. Ledbetter, Y. Shindo, and A.N. Shan Phase velocity and attenuation of plane elastic waves in particle-reinforced composite medium Wave motion 10 1988 171 182
    • (1988) Wave Motion , vol.10 , pp. 171-182
    • Datta, S.K.1    Ledbetter, H.M.2    Shindo, Y.3    Shan, A.N.4
  • 8
    • 0000997689 scopus 로고
    • Multiple scattering of waves II. Hole correlation in the scalar case
    • J.G. Ficioris, and P.C. Waterman Multiple scattering of waves II. Hole correlation in the scalar case Journal of Mathematical Physics 5 1964 1413 1420
    • (1964) Journal of Mathematical Physics , vol.5 , pp. 1413-1420
    • Ficioris, J.G.1    Waterman, P.C.2
  • 9
    • 33645020054 scopus 로고
    • The multiple scattering of waves
    • L.O. Foldy The multiple scattering of waves Physical Review 67 1945 107 119
    • (1945) Physical Review , vol.67 , pp. 107-119
    • Foldy, L.O.1
  • 10
    • 0042319787 scopus 로고    scopus 로고
    • Self-consistent methods in the problem of wave propagation through heterogeneous media
    • K. Markov L. Preziosi Birkhauser Boston, Basel, Berlin
    • S.K. Kanaun Self-consistent methods in the problem of wave propagation through heterogeneous media (Chapter 3) K. Markov L. Preziosi Heterogeneous Media. Micromechanical Modeling, Methods and Simulations 2000 Birkhauser Boston, Basel, Berlin 241 320
    • (2000) Heterogeneous Media. Micromechanical Modeling, Methods and Simulations , pp. 241-320
    • Kanaun, S.K.1
  • 11
    • 0038077171 scopus 로고    scopus 로고
    • Dielectric properties of matrix composite materials with high volume concentration of inclusions (effective field approach)
    • S.K. Kanaun Dielectric properties of matrix composite materials with high volume concentration of inclusions (effective field approach) International Journal of Engineering Sciences 41 2003 1287 1312
    • (2003) International Journal of Engineering Sciences , vol.41 , pp. 1287-1312
    • Kanaun, S.K.1
  • 12
    • 0031377899 scopus 로고    scopus 로고
    • Effective field method in the problem of electromagnetic wave propagation through a medium with isolated inclusions
    • S.K. Kanaun, and D. Jeulin Effective field method in the problem of electromagnetic wave propagation through a medium with isolated inclusions Electromagnetic Waves and Applications 11 1997 1531 1565
    • (1997) Electromagnetic Waves and Applications , vol.11 , pp. 1531-1565
    • Kanaun, S.K.1    Jeulin, D.2
  • 13
    • 13844308868 scopus 로고    scopus 로고
    • The influence of spatial distribution of inhomogeneities on effective dielectric properties of composite materials (effective field approach)
    • J.A. Kong EWM Publishing Cambridge, Massachusetts, USA
    • S.K. Kanaun, and D. Jeulin The influence of spatial distribution of inhomogeneities on effective dielectric properties of composite materials (effective field approach) (Chapter 3) J.A. Kong Progress in Electro magnetic Researches 1999 EWM Publishing Cambridge, Massachusetts, USA 52 84
    • (1999) Progress in Electro Magnetic Researches , pp. 52-84
    • Kanaun, S.K.1    Jeulin, D.2
  • 14
    • 0002222342 scopus 로고
    • Effective field method on mechanics of matrix composite materials
    • Markov, K.Z. (Ed.), Advances in Mathematical Modeling of Composite Materials (Chapter 1)
    • Kanaun, S.K., Levin, V.M., 1994. Effective field method on mechanics of matrix composite materials. In: Markov, K.Z. (Ed.), Advances in Mathematical Modeling of Composite Materials. Series on Advances in Mathematics for Applied Sciences. Vol. 15. pp. 1-58 (Chapter 1)
    • (1994) Series on Advances in Mathematics for Applied Sciences , vol.15 , pp. 1-58
    • Kanaun, S.K.1    Levin, V.M.2
  • 15
    • 0041363281 scopus 로고    scopus 로고
    • Self-consistent methods in the problem of axial elastic shear wave propagations through fiber composites
    • S.K. Kanaun, and V.M. Levin Self-consistent methods in the problem of axial elastic shear wave propagations through fiber composites Archive of Applied Mechanics 73 2003 105 130
    • (2003) Archive of Applied Mechanics , vol.73 , pp. 105-130
    • Kanaun, S.K.1    Levin, V.M.2
  • 16
    • 13844314760 scopus 로고    scopus 로고
    • Propagation of elastic waves in composites with random set of spherical inclusions (effective medium approach)
    • S. Kanaun, V. Levin, and F. Sabina Propagation of elastic waves in composites with random set of spherical inclusions (effective medium approach) Wave Motion 40/1 2004 69 88
    • (2004) Wave Motion , vol.40 , Issue.1 , pp. 69-88
    • Kanaun, S.1    Levin, V.2    Sabina, F.3
  • 19
    • 0001508686 scopus 로고
    • Multiple scattering of waves
    • M. Lax Multiple scattering of waves Review of Modern Physics 23 1951 287 310
    • (1951) Review of Modern Physics , vol.23 , pp. 287-310
    • Lax, M.1
  • 20
    • 15644366767 scopus 로고
    • Multiple scattering of waves
    • M. Lax Multiple scattering of waves Physical Review 85 1952 621 629
    • (1952) Physical Review , vol.85 , pp. 621-629
    • Lax, M.1
  • 21
    • 0000544643 scopus 로고
    • On the influence of obstacle arranged in rectangular order upon the properties of the medium
    • J.W. Rayleigh On the influence of obstacle arranged in rectangular order upon the properties of the medium Philosophical Magazine 34 1892 481 497
    • (1892) Philosophical Magazine , vol.34 , pp. 481-497
    • Rayleigh, J.W.1
  • 22
    • 0002023408 scopus 로고
    • Beyond the effective medium: Quasi modes in disordered media
    • P. Sheng, X. Jing, and M. Zhou Beyond the effective medium: quasi modes in disordered media Physica A 207 1994 37 45
    • (1994) Physica A , vol.207 , pp. 37-45
    • Sheng, P.1    Jing, X.2    Zhou, M.3
  • 23
    • 0036778669 scopus 로고    scopus 로고
    • A numerical approximation to the elastic properties of sphere-reinforced composites
    • J. Segurado, and J. Llorca A numerical approximation to the elastic properties of sphere-reinforced composites Journal of the Mechanics and Physics of Solids 50 2002 2107 2121
    • (2002) Journal of the Mechanics and Physics of Solids , vol.50 , pp. 2107-2121
    • Segurado, J.1    Llorca, J.2
  • 24
    • 0001150287 scopus 로고    scopus 로고
    • Exact conditions on physical realizable correlation functions of random media
    • S. Torquato Exact conditions on physical realizable correlation functions of random media Journal of Chemical Physics 111 1999 8832 8837
    • (1999) Journal of Chemical Physics , vol.111 , pp. 8832-8837
    • Torquato, S.1
  • 25
    • 0016498909 scopus 로고
    • Transparency of pair-correlated random distributions of small scatterers, with application to cornea
    • V. Twersky Transparency of pair-correlated random distributions of small scatterers, with application to cornea Journal of the Optical Society of America 65 1975 524 530
    • (1975) Journal of the Optical Society of America , vol.65 , pp. 524-530
    • Twersky, V.1
  • 26
    • 0018059015 scopus 로고
    • Acoustic bulk parameters in distribution of pair correlated scatterers
    • V. Twersky Acoustic bulk parameters in distribution of pair correlated scatterers Journal of the Acoustic Society of America 64 1978 1710 1719
    • (1978) Journal of the Acoustic Society of America , vol.64 , pp. 1710-1719
    • Twersky, V.1
  • 27
    • 0017969472 scopus 로고
    • Multiple scattering of elastic waves by cylinders of arbitrary cross sections. I. SH waves
    • V.K. Varadan, V.V. Varadan, and Y.-H. Pao Multiple scattering of elastic waves by cylinders of arbitrary cross sections. I. SH waves Journal of the Acoustic Society of America 63 1978 1310 1319
    • (1978) Journal of the Acoustic Society of America , vol.63 , pp. 1310-1319
    • Varadan, V.K.1    Varadan, V.V.2    Pao, Y.-H.3
  • 28
    • 0022268969 scopus 로고
    • A multiple scattering theory for elastic wave propagation in discrete random media
    • V.K. Varadan, and V.V. Varadan A multiple scattering theory for elastic wave propagation in discrete random media Journal of the Acoustic Society of America 77 1985 375 385
    • (1985) Journal of the Acoustic Society of America , vol.77 , pp. 375-385
    • Varadan, V.K.1    Varadan, V.V.2
  • 30
    • 0000566969 scopus 로고
    • Exact solution of the Perkus-Yevick integral equation for hard spheres
    • M.S. Wertheim Exact solution of the Perkus-Yevick integral equation for hard spheres Physics Review Letters 10 1963 321 323
    • (1963) Physics Review Letters , vol.10 , pp. 321-323
    • Wertheim, M.S.1
  • 31
    • 0019265450 scopus 로고
    • A polarization approach to the scattering of elastic waves I, II
    • J.R. Willis A polarization approach to the scattering of elastic waves I, II Journal of the Mechanics and Physics of Solids 28 1980 287 327
    • (1980) Journal of the Mechanics and Physics of Solids , vol.28 , pp. 287-327
    • Willis, J.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.