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Ultrasonic 2D SH Crack Detection in a Layered Anisotropic Plate

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Abstract

The 2-D scattering problem of an internal crack in a layered anisotropic plate is considered in this paper. In the model, two ultrasonic SH probes are attached on the upper surface of the plate and the incoming displacement field is generated by one of the probes and the other probe is acting as a receiver. The transmitting and the receiving probe may be the same. The problem is solved by deriving the Green function for the layered plate and then using the integral representation for the total field to obtain an integral equation for the crack opening displacement. The integral equation is solved by expanding the crack opening displacement (COD) in Chebyshev functions. A crucial part of the method is the expansion of the Green function in a free space part, expressed in the crack coordinate system, and a reflection part, expressed in the plate coordinate system. The electrical signal response is calculated by an electromechanical reciprocity relation. Numerical examples are given for a transversally isotropic graphite-epoxy plate, where the symmetry axes are mutually perpendicular in the layers. The results are presented as A-scans, i.e. the electrical response as a function of time.

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Authors and Affiliations

  1. Department of Mechanics, Chalmers University of Technology, SE-412 96, Göteborg, Sweden

    Tomas Grahn

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  1. Tomas Grahn
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Grahn, T. Ultrasonic 2D SH Crack Detection in a Layered Anisotropic Plate. Journal of Nondestructive Evaluation 20, 17–28 (2001). https://doi.org/10.1023/A:1010649713130

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