Solid-Solid Bonding Characterization by Ultrasonic Reflectivity

  • Tran D. K. Ngoc
  • Herbert J. Ruf
  • Kin W. Ng


The most common approach to model a weakened bond at a solid-solid interface has been to allow for a partial slip of the displacement at the interface. This concept is transformed into a specific set of boundary conditions which are then solved to obtain the plane-wave reflection and transmission coefficients or to determine the dispersion relation of the associated interface wave, if they exist. A key question in this approach is whether one allows for a partial slip in both displacement components or just the tangential. Initially, Murty [1–2] considered only the tangential slip to model the slip interface with the following boundary conditions:
  • Normal stress is continuous,

  • Shear stress is continuous,

  • Normal displacement is continuous, and

  • Shear stress is proportional to a tangential displacement slip.


Incident Angle Reflection Coefficient Slip Interface Partial Slip Stoneley Wave 
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  1. 1.
    G.S. Murty, “A Theoretical Model for the Attenuation and Dispersion of Stoneley Waves at the Loosely Bonded Interface of Elastic Half Spaces,” Physics of the Earth and Planetary Interiors 11, 65 (1975).CrossRefGoogle Scholar
  2. 2.
    G.S. Murty, “Reflection, Transmission and Attenuation of Elastic Waves at a Loosely Bonded Interface of Two Half Spaces,” Geophys. J. R. Astr. Soc. 44, 389 (1976).CrossRefGoogle Scholar
  3. 3.
    M. Schoenberg, “Elastic Wave Behavior across Linear Slip Interfaces,” J. Acoust. Soc. Am. 68, 1516 (1980).CrossRefGoogle Scholar
  4. 4.
    A. Pilarski, “The Coefficient of Reflection of Ultrasonic Waves from An Adhesive Bond Interface,” Archives of Acoustics 8(1), 41 (1983).Google Scholar
  5. 5.
    A. Pilarski, “Ultrasonic Evaluation of the Adhesion Degree in Layered Joints,” Materials Evaluation 43, 765 (1985).Google Scholar
  6. 6.
    A. Pilarski, “Leaking Interface Waves in Ultrasonic NDE,” Proc. 11th World Conf. NDT, Las Vegas (1985).Google Scholar

Copyright information

© Springer Science+Business Media New York 1989

Authors and Affiliations

  • Tran D. K. Ngoc
    • 1
  • Herbert J. Ruf
    • 1
  • Kin W. Ng
    • 1
  1. 1.Department of PhysicsGeorgetown UniversityUSA

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