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Subcritical growth of a crack in a transversally isotropic aging composite under long-term static loading

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Abstract

The problem of long-term fracture of an aging reinforced composite array having hexagonal symmetry and weakened by a flat circular macrocrack is considered based on the Boltzmann-Volterra principle and the theory of long-term fracture of viscoelastic bodies. The array is under the action of stationary tensile forces applied at infinity and normal to the crack plane. The Maslov-Arutyunyan operator is used to describe the aging strain properties of the array. The irrational functions of integral Volterra operators obtained during the solution are determined by expanding them into continued fractions. The crack growth equations derived are numerically solved for a specific material (ferroconcrete). Curves of the rupture life of the composite array, kinetics of crack growth, and safe loading are presented.

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References

  1. N. Kh. Arutyunyan,Some Problems of Creep Theory [in Russian], GITTL, Moscow-Leningrad (1952).

    Google Scholar 

  2. G. V. Gavrilov “Long-term crack resistance of a viscoelastic aging composite under static loads,”Prikl. Mekh.,35, No. 2, 60–65 (1999).

    Google Scholar 

  3. A. A. Kaminskii,Fracture of Viscoelastic Bodies with Cracks [in Russian], Naukova Dumka, Kiev (1990).

    Google Scholar 

  4. A. A. Kaminskii, “Mechanics of long-term fracture of viscoelastic composite materials,”Prikl. Mekh.,29, No. 10, 50–57 (1993).

    Google Scholar 

  5. A. A. Kaminskii and D. A. Gavrilov,Long-Term Fracture of Polymeric and Composite Materials with Cracks [in Russian], Naukova Dumka, Kiev (1992).

    Google Scholar 

  6. A. A. Kaminskii and S. A. Kekukh, “A method of solving problems of the linear theory of viscoelasticity for anisotropic materials with cracks,”Prikl. Mekh.,30, No. 4, 82–90 (1994).

    Google Scholar 

  7. A. A. Kaminskii and S. A. Kekukh, “Long-term fracture of a transversally isotropic viscoelastic composite with a circular crack under a constant loading,”Prikl. Mekh.,27, No. 8, 35–42 (1991).

    Google Scholar 

  8. A. A. Kaminskii and S. A. Kekukh, “Long-term fracture of a cylindrically anisotropic viscoelastic composite with a circular crack under a constant load,”Prikl. Mekh.,27, No. 10, 53–60 (1991).

    Google Scholar 

  9. L. P. Horoshun, B. P. Maslov, et al.,Statistical Mechanics and Effective Properties of Materials, Vol. 3 of 12-volumeMechanics of Composites [in Russian], Naukova Dumka, Kiev (1993).

    Google Scholar 

  10. G. P. Cherepanov,Mechanics of Brittle Fracture, Nauka, Moscow (1974).

    Google Scholar 

  11. A. A. Kaminsky, “Subcritical crack growth in polymer composite materials under creep,” in:Advances in Fracture Resistance and Structural Integrity, Proc. of the 8th Intern. Conf. Fracture, Pergamon (1994), pp. 513–520.

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Authors
  1. A. A. Kaminskii
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  2. G. V. Gavrilov
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Additional information

S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Translated from Prikladnaya Mekhanika, Vol. 35, No. 12, pp. 72–79, December, 1999.

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Kaminskii, A.A., Gavrilov, G.V. Subcritical growth of a crack in a transversally isotropic aging composite under long-term static loading. Int Appl Mech 35, 1263–1271 (1999). https://doi.org/10.1007/BF02682400

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  • DOI: https://doi.org/10.1007/BF02682400

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