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On the Effect of External Stress on the Stability of a Crack Located near a Wedge Disclination Dipole

  • STRENGTH AND PLASTICITY
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Abstract

Conditions for the existence of equilibrium stable cracks in the combined elastic field of the biaxial wedge disclination dipole and external stress are analyzed. In the configuration space of the parameters of the system under consideration (the strength and length of the disclinations dipole and the magnitude of the external stress), the ranges of parameters are determined at which such cracks can appear. It is shown that an increase in the external stress leads to a significant localization of the existence domain of stable microcracks, originating in the vicinity of a disclination dipole, and its displacement towards smaller dipole lengths. The ranges of the lengths of stable cracks are determined. It is shown that an increase in the external stress leads to a contraction of the intervals of realization of stable crack lengths at each fixed value of the dipole arm and a shift of the upper and lower boundaries of this interval towards smaller crack lengths.

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Funding

This work was supported by the Russian Foundation for Basic Research, project no. 20-08-00867.

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Authors and Affiliations

  1. Institute of Applied Physics, Russian Academy of Sciences, 603024, Nizhny Novgorod, Russia

    S. V. Kirikov, V. N. Perevezentsev & A. S. Pupynin

  2. Lobachevsky University, 603022, Nizhny Novgorod, Russia

    V. N. Perevezentsev

Authors
  1. S. V. Kirikov
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  2. V. N. Perevezentsev
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  3. A. S. Pupynin
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Correspondence to S. V. Kirikov.

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Translated by E. Chernokozhin

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Kirikov, S.V., Perevezentsev, V.N. & Pupynin, A.S. On the Effect of External Stress on the Stability of a Crack Located near a Wedge Disclination Dipole. Phys. Metals Metallogr. 122, 820–824 (2021). https://doi.org/10.1134/S0031918X21070036

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  • DOI: https://doi.org/10.1134/S0031918X21070036

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