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Stress state in an infinite cylinder of any cross section with tunnel defect under harmonic oscillations of longitudinal shear

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We solve the problems of finding the stress state near through defects (cracks or thin rigid inclusions) in an infinite cylinder of any cross section under the conditions of oscillations of longitudinal shear. We propose an approach that enables one to separately satisfy the conditions imposed on the surfaces of the defects and on the boundary of the body. Approximate relations for the stress intensity factors are obtained and the influence of the frequencies of oscillations, type of the defects, and their location on the values of the stress intensity factors are investigated by using the indicated relations.

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Authors and Affiliations

  1. Odessa National Maritime Academy, Odessa, Ukraine

    O. I. Kyrylova & V. G. Popov

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  1. O. I. Kyrylova
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  2. V. G. Popov
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 55, No. 3, pp. 61–71, July–September, 2012.

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Kyrylova, O.I., Popov, V.G. Stress state in an infinite cylinder of any cross section with tunnel defect under harmonic oscillations of longitudinal shear. J Math Sci 194, 198–212 (2013). https://doi.org/10.1007/s10958-013-1520-5

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  • DOI: https://doi.org/10.1007/s10958-013-1520-5

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