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Fracture model for structured quasibrittle materials

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Abstract

We analyze the applicability of a modified Leonov-Panasyuk-Dugdale model to the description of the propagation of a mode I crack in structured materials under plane stress conditions. For quasi-brittle materials, refined formulas of the critical length of the prefracture zone and the critical load containing a structural parameter are proposed. The Kornev model is extended to the case of quasi-ductile materials. Numerical simulation of plastic zones in square plates of a bimetal and a homogeneous material under quasi-static loading is performed. In the numerical model, the equations of deformable solid mechanics are expressed in the Lagrangian formulation, which is the most preferred for large-strain deformations of elastoplastic materials. The results of the numerical experiments are consistent with the results of calculations using the analytical model for the fracture of structured materials.

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Authors and Affiliations

  1. Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia

    V. D. Kurguzov & N. S. Astapov

  2. Research Institute of Mechanics, Lomonosov Moscow State University, Moscow, 119192, Russia

    I. S. Astapov

Authors
  1. V. D. Kurguzov
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  2. N. S. Astapov
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  3. I. S. Astapov
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Correspondence to V. D. Kurguzov.

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Original Russian Text © V.D. Kurguzov, N.S. Astapov, I.S. Astapov.

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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 55, No. 6, pp. 173–185, November–December, 2014.

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Kurguzov, V.D., Astapov, N.S. & Astapov, I.S. Fracture model for structured quasibrittle materials. J Appl Mech Tech Phy 55, 1055–1065 (2014). https://doi.org/10.1134/S0021894414060182

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  • DOI: https://doi.org/10.1134/S0021894414060182

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