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On the size of cylindrical specimens with a circumferential crack for evaluating the fracture toughness of materials

The minimum sizes of cylindrical specimens are determined, in order to find the valid values of fracture toughness. The limit load for the body of revolution with deep hyperbolic circular grooves under uniaxial tension is estimated using the structural fracture criterion. The critical load for the elastic space with an outer circumferential crack is estimated by performing the limiting transition at an infinitely small radius of curvature of the groove. The size of the minimum cross section of the cylindrical specimen is determined with the consistency between the structural criterion and the Irwin criterion. The specimen diameter is proposed to be determined based on the requirement of equality between the stress intensity factors for a deep crack in the body of revolution and a surface crack in the half-plane.

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Correspondence to V. I. Smirnov.

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Translated from Problemy Prochnosti, No. 4, pp. 33 – 41, July – August, 2012.

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Smirnov, V.I. On the size of cylindrical specimens with a circumferential crack for evaluating the fracture toughness of materials. Strength Mater 44, 369–375 (2012). https://doi.org/10.1007/s11223-012-9390-5

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Keywords

  • structural strength criterion
  • outer circumferential crack
  • cylindrical specimen
  • critical load
  • stress intensity factor
  • ultimate strength
  • fracture toughness