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Delayed fracture of an orthotropic body subjected to two-dimensional deformation

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Abstract

A modified δC is used to solve for the subcritical growth of macroscopic cracks of a normal cleavage in ageing fiber composite acted on by constant tensile stresses applied at infinity under two-dimensional deformation conditions. A continued fraction expansion is used to interpret the nonrational function of the integral Maslov-Arutyunyan ageing operators. The convergence of the resulting expansion is studied numerically, along with changes in the durability and safe loading conditions for an ageing composite as a function of the filling.

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References

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

  2. G. A. Vanin,Micromechanics of Composite Materials [in Russian], Kiev (1985).

  3. Kh. N. Arutyunyan,Some Problems in the Theory of Creep [in Russian], Moscow, Leningrad (1952).

  4. Yu. N. Rabotnov,Elements of the Hereditary Mechanics of Solids [in Russian], Moscow (1977).

  5. V. V. Panasyuk,Limiting Equilibrium of Brittle Bodies with Cracks [in Russian], Kiev (1968).

  6. S. A. Kekukh, “Subcritical growth of cracks in linear viscoelastic composite materials with different anisotropies under prolonged constant loading,”Candidate's Dissertation in Technical Sciences, Kiev (1989).

  7. W. Jones and W. Tron,Continued Fractions [Russian translation], Moscow (1985).

  8. A. A. Kaminskii and D. A. Gavrilov,Delayed Fracture of Polymer and Composite Materials with Cracks [in Russian], Kiev (1992).

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

Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Translated from Teoreticheskaya i Prikladnaya Mekhanika, No. 30, pp. 84–91, 1999.

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Kaminskii, A.A., Gavrilov, G.V. Delayed fracture of an orthotropic body subjected to two-dimensional deformation. J Math Sci 101, 3637–3642 (2000). https://doi.org/10.1007/BF02674051

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  • DOI: https://doi.org/10.1007/BF02674051

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