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Transient Green's Tensor for a Layered Solid Half-Space With Different Interface Conditions.

Shu-Chu Ren1, Nelson N Hsu1, Donald G Eitzen1

  • 1National Institute of Standards and Technology, Gaithersburg, MD 20899.

Journal of Research of the National Institute of Standards and Technology
|July 23, 2016
PubMed
Summary

Pulsed ultrasonic testing can assess bonded structures by modeling them as layers. Changes in interface bonding significantly alter wave reflections, enabling quality assessment in ultrasonic nondestructive evaluation.

Keywords:
Green’s functionNDE theoretical mechanicsbond integritydynamic elasticityfundamental solutioninterface conditionlayered half-spacewave mechanics

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Area of Science:

  • Solid Mechanics
  • Acoustics
  • Materials Science

Background:

  • Pulsed ultrasonic techniques are established for examining bonded structures.
  • Understanding interface conditions is crucial for structural integrity and material evaluation.

Purpose of the Study:

  • To develop a theoretical framework for pulsed ultrasonic testing of layered structures.
  • To investigate the influence of interface bonding on wave propagation and reflection.

Main Methods:

  • Derivation of the exact dynamic Green's tensor for a layered half-space model.
  • Utilizing Willis' method and combinatorial analysis for ray path generation.
  • Numerical computation of Green's tensor and simulation of ultrasonic wave propagation using FORTRAN code.

Main Results:

  • The derived Green's tensor accurately models wave propagation in layered media.
  • Interface bonding conditions significantly impact transient displacements and wave characteristics.
  • Variations in bonding cause changes in polarity and amplitude of reflected and head waves.

Conclusions:

  • Pulsed ultrasonic testing can effectively infer interface bond quality by analyzing wave behavior.
  • The developed theoretical model and computational methods provide a basis for ultrasonic nondestructive evaluation.
  • Findings are applicable to acoustic microscopy, coatings, and geo-exploration.