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The use of the “trident” model in the analysis of plastic zones near crack tips and corner points

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Abstract

The paper deals with calculation of a plastic zone near a crack tip in a homogeneous elastoplastic solid and near a corner point of the boundary of this solid. The calculations are conducted for a solid subject to plane strain and within the framework of models with plastic strips. It is shown that in comparison with the widely used model with two straight slip-lines, the process of plastic deformation is described by the “trident” model more accurately. The results of calculations of the plastic zone by the “trident” model that correspond to different stages of the development of plastic deformation are given for a crack of normal separation in a quasibrittle material.

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S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Translated from Prikladnaya Mekhanika, Vol. 36, No. 3, pp. 95–100, March, 2000.

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Kaminskii, A.A., Kipnis, L.A., Kolmakova, V.A. et al. The use of the “trident” model in the analysis of plastic zones near crack tips and corner points. Int Appl Mech 36, 372–376 (2000). https://doi.org/10.1007/BF02681920

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  • DOI: https://doi.org/10.1007/BF02681920

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