Spring and Asymptotic Boundary Condition Models for Study of Scattering by Thin Cylindrical Interphases

  • W. Huang
  • S. I. Rokhlin


Specially designed fiber-matrix interphases are created in modern composites to improve fracture toughness, chemical compatibility and matching of thermal expansion coefficients between composite constituents [1, 2, 3]. Since the interphase transfers the load from matrix to fiber, the interphase elastic moduli, thickness and the quality of bonding with the surrounding fiber and matrix are essential in determining composite mechanical performance. Such interphase conditions can be sensed by ultrasonic waves due to strong interphase effects on wave scattering from fibers. However the interphase properties (elastic modulus and thickness) are in-situ parameters and are often difficult to define. One way to get around this is to introduce simplified boundary condition (B.C.) models to describe the displacement and stress fields across the interphase directly. In this paper we will address this problem with emphasis on spring and asymptotic B.C. models as a representation of a thin fiber-matrix interphase when studying wave scattering from fibers.


Transfer Matrix Fiber Material Fiber Radius Improve Fracture Toughness Multilayered Cylinder 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    A.G. Evans and D.B. Marshall, Mat. Res. Soc. Symp. Proc. 120, 213 (1988).CrossRefGoogle Scholar
  2. 2.
    W.W. Wright, Compos. Polym. 3, 360 (1990).Google Scholar
  3. 3.
    A.K. Misra, in HITEMP REVIEW-1991, NASA CP-10082, 15–1 (1991).Google Scholar
  4. 4.
    R.M. White, J. Acous. Soc. Am. 30, 771 (1958).Google Scholar
  5. 5.
    V.V. Tyutekin, J. Sov. Phys. Acous. 5(1), 105 (1959).Google Scholar
  6. 6.
    Y.H. Pao and C.C. Mow, Diffraction of Elastic Waves and Dynamic Stress Concentrations, (Crane, Russack, New York, 1973).Google Scholar
  7. 7.
    D.J. Jain and R.P. Kanwal, J. Appl. Phys. 50, 4067 (1979).CrossRefGoogle Scholar
  8. 8.
    P. Beattie, R.C. Chivers and L.W. Anson, J. Acous. Soc. Am. 94, 3421 (1993).CrossRefGoogle Scholar
  9. 9.
    A.N. Sinclair and R.C. Addison, Jr., J. Acous. Soc. Am. 94, 1126 (1993).CrossRefGoogle Scholar
  10. 10.
    W. Huang, S. Brisuda and S.I. Rokhlin, J. Acous. Soc. Am. 97, 807 (1995).CrossRefGoogle Scholar
  11. 11.
    W. Huang, S.I. Rokhlin and Y.J. Wang, Ultrasonics 33, November (1995).Google Scholar
  12. 12.
    S.I. Rokhlin, and Y.J. Wang, J. Acoust. Soc. Am. 89, 503 (1991).CrossRefGoogle Scholar
  13. 13.
    S.I. Rokhlin and W. Huang, J. Acoust. Soc. Am. 94, 3405 (1993).CrossRefGoogle Scholar
  14. 14.
    W. Huang and S.I. Rokhlin, Geophy. J. Intern. 118, 285 (1994).CrossRefGoogle Scholar
  15. 15.
    J. Aboudi, Composites Science and Technology, 28, 102 (1987).CrossRefGoogle Scholar
  16. 16.
    Z. Hashin, Mechanics of Materials, 8, 333 (1990).CrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1996

Authors and Affiliations

  • W. Huang
    • 1
  • S. I. Rokhlin
    • 1
  1. 1.Department of Welding EngineeringThe Ohio State UniversityColumbusUSA

Personalised recommendations