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Limit Equilibrium of a Cylindrical Shell with Longitudinal Crack with Regard for the Inertia of the Material

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We study the problem of limit equilibrium of a long cylindrical shell with longitudinal crack subjected to the action of a load that varies with time according to the exponential law. For the case of symmetric loading of the crack, we construct a system of singular integral equations. We also study the influence of the rate of changes in the load on the value of the force intensity factor in the vicinity of the crack ends.

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Authors and Affiliations

  1. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, National Academy of Sciences of Ukraine, Lviv, Ukraine

    М. І. Makhorkin & М. М. Nykolyshyn

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  1. М. І. Makhorkin
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  2. М. М. Nykolyshyn
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Correspondence to М. І. Makhorkin.

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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 61, No. 1, pp. 130–141, January–March, 2018.

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Makhorkin, М.І., Nykolyshyn, М.М. Limit Equilibrium of a Cylindrical Shell with Longitudinal Crack with Regard for the Inertia of the Material. J Math Sci 249, 462–477 (2020). https://doi.org/10.1007/s10958-020-04953-4

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  • DOI: https://doi.org/10.1007/s10958-020-04953-4

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