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Applied Physics Letters
Volumn 37, Issue 4, 1980, Pages 377-379
Effective elastic parameters of random composites
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EID: 33749967379     PISSN: 00036951     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.91949     Document Type: Article
Times cited : (37)
References (17)
  • 9
    • 84951349994 scopus 로고    scopus 로고
    • For example, these theories predict that the shear modulus of a [formula omitted] concentration of solid spheres in a nonviscous fluid matrix is the same as a [formula omitted] concentration of nonviscous liquid spheres in a solid matrix
  • 13
    • 0018469860 scopus 로고
    • In order for the Rayleigh approximation to be valid the wavelengths of the elastic field both within the effective medium and within the scatterer must be significantly larger than the circumference of the spherical inclusion.
    • (1979) J. Appl. Phys. , vol.50 , pp. 3338
    • Gubernatis, J.E.1    Krumhansl, J.A.2    Thomson, R.M.3
  • 14
    • 84951349995 scopus 로고    scopus 로고
    • Here, we assume that [formula omitted] and [formula omitted] are positive, real quantities so that the effective medium is nonabsorbing.
  • 15
    • 84951349996 scopus 로고    scopus 로고
    • The equivalence of the two theories in the weak scattering limit is illustrated by the fact that Eqs. (8) give almost identical fits to experimental velocity data examined by Kuster and Toksöz (Ref. 4) as that provided by the Kuster-Toksöz model (10).
  • 17
    • 84951349997 scopus 로고    scopus 로고
    • The elastic constants K and μ defined in Eq. (3) are negative for the composite system studied in Ref. 14. This means that the wavelengths within the scatterer are zero, thus resulting in a violation of the Rayleigh approximation (see Ref. 11).

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