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Dependence of Creep-Rupture Lifetime for Rods under Tension in an Aggressive Environment on the Shape of a Single-Cell Cross-Section

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Abstract

The long-term strength of rods under tension in an aggressive environment is investigated. We consider rods of various shapes of a single-cell cross-section (circle, square, and rectangles with different aspect ratios), provided that the areas of these cross-sections are equal. To determine the level of inclusions from aggressive environment into the rod at different time moments, approximate diffusion equations based on the motion of diffusion fronts from the rod surface are used. The high accuracy of the obtained approximation is shown. To assess the influence of an aggressive environment on long-term strength, the Yu. N. Rabotnov kinetic theory with two structural parameters (material damage and concentration of environment elements in the rod material) is used. The dependence of the time to rupture for the rods with various cross-section shapes under the same level of tensile stress is obtained. It is shown that the time to rupture for a rod with square cross-section under the indicated conditions exceeds the time to rupture for a rod with circular cross-section. In the case of rods with the same cross-section shape, the relation of the cross-section perimeter to time to rupture for the rod is considered. The minimum time to rupture for the considered rods is observed for rods of rectangular cross-section with the smallest thickness

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Acknowledgement

This work was financially supported by the Russian Science Foundation (project No. 19-19-00062, Lomonosov Moscow State University).

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, GSP-1, Leninskiye Gory 1, Moscow, 119991, Russia

    N. S. Larin

  2. Institute of Mechanics, Lomonosov Moscow State University, Michurinskii pr. 1, Moscow, 119192, Russia

    N. S. Larin, A. M. Lokoshchenko & L. V. Fomin

Authors
  1. N. S. Larin
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  2. A. M. Lokoshchenko
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  3. L. V. Fomin
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Corresponding author

Correspondence to A. M. Lokoshchenko.

Additional information

Russian Text © The Author(s), 2019, published in Izvestiya Akademii Nauk, Mekhanika Tverdogo Tela, 2019, No. 5, pp. 59–69.

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Larin, N.S., Lokoshchenko, A.M. & Fomin, L.V. Dependence of Creep-Rupture Lifetime for Rods under Tension in an Aggressive Environment on the Shape of a Single-Cell Cross-Section. Mech. Solids 54, 1042–1050 (2019). https://doi.org/10.3103/S0025654419070057

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  • DOI: https://doi.org/10.3103/S0025654419070057

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