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IssuesArchive of Issues2016-1pp.127-134

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I.Ya. Zhbadinskii, "Interaction of One-Periodic Disk-Shaped Cracks under an Incident Elastic Harmonic Wave," Mech. Solids. 51 (1), 127-134 (2016)
Year 2016 Volume 51 Number 1 Pages 127-134
DOI 10.3103/S002565441601012X
Title Interaction of One-Periodic Disk-Shaped Cracks under an Incident Elastic Harmonic Wave
Author(s) I.Ya. Zhbadinskii (Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, ul. Naukova 3b, Lvov, 79060 Ukraine, zhbadynskyi.igor@gmail.com)
Abstract We study a symmetric problem of harmonic wave propagation in an elastic space with a one-periodic array of interacting disk-shaped cracks. Using the Green function obtained by the Fourier transform, we reduce the problem to a boundary integral equation (BIE) for the function characterizing the displacement discontinuity on one of the cracks and numerically determine the desired function by solving the BIE. We present graphs of the dynamic stress intensity factors near a circular crack versus the wave number for various distances between the defects.
Keywords elastic space, periodic arrays of disk-shaped cracks, periodic Green function, harmonic elastic wave, dynamic stress intensity factors, boundary integral equation method
References
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Received 17 August 2013
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