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Necking Near a Crack Tip in a Plate: a Plane Problem

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The nonlinear plane problem of the tension of a plate with a crack and a neck at the crack tip is solved. The stress–strain curve is assumed piecewise-linear with a constant bulk modulus. By applying the Fourier transform and discretization, the problem is reduced to a system of nonlinear algebraic equations. The distribution of the neck depth near the crack tip and the effect of nonlinearity on the crack-tip opening displacement are studied

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, 3 Nesterova St., Kyiv, Ukraine, 03057

    L. P. Khoroshun

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  1. L. P. Khoroshun
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Correspondence to L. P. Khoroshun.

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Translated from Prikladnaya Mekhanika, Vol. 51, No. 3, pp. 95–112, May–June 2015.

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Khoroshun, L.P. Necking Near a Crack Tip in a Plate: a Plane Problem. Int Appl Mech 51, 326–341 (2015). https://doi.org/10.1007/s10778-015-0693-7

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  • DOI: https://doi.org/10.1007/s10778-015-0693-7

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