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Propagation of a shear crack in a randomly heterogeneous body

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Abstract

Propagation of a crack in a randomly heterogeneous body exposed to longitudinal shear is considered (in a Born approximation). It is proved that the stress means at the crack tip have singularities on the order of (r)−1/2. The effective coefficient of stress intensity is introduced. It is known that the propagation of a crack in a homogeneous body is of a local nature, i.e., energy consumption in the growth of the crack is completely determined by the coefficient of stress intensity, which is a local characteristic. The equivalence of the force and energy approaches is mathematically expressed by the Irwin equation [1]. An analog of the Irwin equation is obtained for the case of a randomly heterogeneous body.

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Literature cited

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Additional information

Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 1, pp. 145–148, January–February, 1976.

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Bortnikova, V.V., Romalis, N.B. Propagation of a shear crack in a randomly heterogeneous body. J Appl Mech Tech Phys 17, 120–123 (1976). https://doi.org/10.1007/BF00857765

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Keywords

  • Mathematical Modeling
  • Energy Consumption
  • Mechanical Engineer
  • Stress Intensity
  • Industrial Mathematic