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Longwave Speeds in Materials with Cracks and Cavities of Various Shapes

  • Boris Shafiro
  • Mark Kachanov
Chapter

Abstract

Propagation of plane elastic waves in materials with cavities of various shapes and cracks (or mixtures of cavities of diverse shapes) is discussed in the longwave limit. In this limit, the wavespeeds are determined by the effective elastostatic moduli, i.e. the material is modeled by the homogeneous elastic solid having effective elastic constants.

Keywords

Crack Density Effective Elastic Property Orientational Distribution Effective Elastic Constant Effective Modulo 
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References

  1. 1.
    M. Kachanov, Appl. Mech. Reviews 45, 304–335 (1992).CrossRefGoogle Scholar
  2. 2.
    M. Kachanov, I. Tsukrov and B. Shafiro, Appl. Mech. Reviews 47, S151–S174 (1994).CrossRefGoogle Scholar
  3. 3.
    M.J.P. Musgrave, in Progress in Solid Mechanics, Vol. 2, eds. I.N. Sneddon and R. Hill (North Holland Publishing Company, Amsterdam, 1961), p. 61.Google Scholar
  4. 4.
    B.E. Auld, Acoustic Fields and Waves in Solids (J. Wiley & Sons, New York, 1973).Google Scholar
  5. 5.
    J.D. Eshelby, in Proc. Roy. Soc., A241(1226), 376–396 (1957).MathSciNetGoogle Scholar
  6. 6.
    J.D. Achenbach, Wave Propagation in Elastic Solids (American Elsevier Publishing Company, New York, 1973), Chap. 10.MATHGoogle Scholar

Copyright information

© Plenum Press, New York 1995

Authors and Affiliations

  • Boris Shafiro
    • 1
  • Mark Kachanov
    • 1
  1. 1.Mechanical Engineering DepartmentTufts UniversityMedfordUSA

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