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Elastoplastic Problem for a Unilaterally Exfoliated Thin Inclusion Under Shear Loading

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We study the development of plastic deformations in a body with thin inclusion subjected to shear loading under the conditions of unilateral contact with perfectly elastoplastic medium. We determine the shape of a continual plastic zone from the solution of an elastoplastic problem and analyze the development of a plastic layer along the inclusion–medium boundary. Continually distributed plastic deformations cover less than 40% of the surface of inclusion, while the model of localized deformations predicts the complete exfoliation of the inclusion.

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Authors and Affiliations

  1. I. Pulyui Ternopil National Technical University, Ternopil, Ukraine

    V. А. Kryven’, V. B. Valiashek, L. І. Tsymbaliuk & N. І. Blashchak

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  1. V. А. Kryven’
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  2. V. B. Valiashek
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  3. L. І. Tsymbaliuk
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  4. N. І. Blashchak
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Correspondence to V. А. Kryven’.

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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 63, No. 4, pp. 122–127, October–December, 2020.

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Kryven’, V.А., Valiashek, V.B., Tsymbaliuk, L.І. et al. Elastoplastic Problem for a Unilaterally Exfoliated Thin Inclusion Under Shear Loading. J Math Sci 273, 1031–1038 (2023). https://doi.org/10.1007/s10958-023-06562-3

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  • DOI: https://doi.org/10.1007/s10958-023-06562-3

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