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- W2034753569 abstract "Scattering of an antiplane shear wave from a single fibre partially bonded to a matrix is considered. The region of debonding is modeled as an interface crack with non-contacting faces; the crack opening displacement is represented by Chebyshev polynomials, and a system of equations is derived for the unknown coefficients. The solution is valid for arbitrary values of K 1 a, where K 1 is the incident wavenumber and a the fibre radius; and the semi-angle δ subtended by the crack may vary from zero to π. The general solution simplifies in two limiting situations: (i) if δ is small, and k 1 aδ is also small, then the wavelength greatly exceeds the crack length and the crack is effectively subject to a static loading determined by the dynamic field around the perfectly bonded fibre. Explicit expressions can be obtained for the COD and the scattered field in this case; (ii) when the crack semi-angle is finite, but k 1 a is small, then both the field in the fibre and the crack loading are quasistatic. The dependence of the scattered field on δ is particularly simple; however, the quasistatic theory breaks down at surprisingly low values of k1 a when the fibre becomes almost completely separated from the matrix. The narrow neck joining the matrix and fibre permits the fibre to oscillate at very low frequencies and causes a strong resonance in the scattering cross-section. The general and approximate results for the single fibre are used to estimate the attentuation of a wave propagating through a composite with many fibres and the possibility of quantitative detection of debonding using ultrasound attenuation measurements is discussed." @default.
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- W2034753569 date "1991-01-01" @default.
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- W2034753569 title "Shear wave scattering from a debonded fibre" @default.
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- W2034753569 doi "https://doi.org/10.1016/0022-5096(91)90006-a" @default.
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