Abstract
In this paper an analysis of the interaction of longitudinal waves with an annular crack in an infinitely long hollow cylinder is presented. Using Fourier sine and cosine as well as Hankel integral transforms, formal complete solutions to the governing equations are given. By means of Abel integral transform, the problem is reduced to the solution of a Fredholm integral equation of the second kind which is, then, solved numerically for a range of values of the frequencies of the incident waves. The numerical values of the dynamic stress intensity factor at the rim of the crack have been calculated.
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References
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Zi-Mao, Z., Zhen-Zhu, Z., Xing-Rui, M. et al. Interaction of axially symmetric waves with an annular crack in an infinitely long hollow cylinder. Int J Fract 48, 41–48 (1991). https://doi.org/10.1007/BF00012501
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DOI: https://doi.org/10.1007/BF00012501