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Linear model of a plastic zone in the vicinity of a sharp notch under the conditions of longitudinal shear

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Abstract

A procedure is proposed for the evaluation of the load in the case where the plastic zone in the vicinity of a stress concentrator increases almost self-similarly (homothetically). The notion of measure of nonself-similarity of the development of the shape of the zone determined on the basis of its simulation by a single plastic strip is introduced. For some types of stress concentrators, under the conditions of antiplane deformation, we determine the levels of loading for which the plastic zone develops self-similarly (with required accuracy).

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Authors and Affiliations

  1. Pulyui Ternopil’ State Technical University, Ternopil’

    V. A. Kryven’

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  1. V. A. Kryven’
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Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 40, No. 4, pp. 41–46, July–August, 2004.

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Kryven’, V.A. Linear model of a plastic zone in the vicinity of a sharp notch under the conditions of longitudinal shear. Mater Sci 40, 475–483 (2004). https://doi.org/10.1007/s11003-005-0064-3

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  • DOI: https://doi.org/10.1007/s11003-005-0064-3

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