Diffraction of medium and long wavelength horizontally polarized shear waves by edge cracks

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Abstract
Scattering of horizontally polarized shear (SH) waves by edge cracks of length l and of different orientations relative to the free surface of the half‐space is studied. A combined finite element and analytical technique is presented that is suitable for analyzing scattering by cracks or inhomogeneities in a semi‐infinite elastic medium. Attention is focused in the range of wavelengths λ, when the ratio l/λ is ⩽1/2. Numerical results are presented for crack opening displacements and scattered fields on the surface when the medium is homogeneous or when the crack is located in an insert with different material properties. Comparison of the theoretical solution is also made with available experimental results. The experimental results are obtained using electromagnetic‐acoustic transducers that can efficiently generate and detect low‐frequency SH waves in metals. The results are applicable to sizing and characterization of weld defects. Recent experimental evidence suggests that this can be accomplished when the wavelength is of the order of twice the crack length or longer.

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