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Evaluation of the Potential Energy and Geometric Sizes of a Dislocation Crack

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We study a dislocation crack in which a displacement jump is specified at one of its tips but the faces are closed at the other tip. The physical meaning of the problem is specified from the positions of fracture mechanics for a dislocation crack, which is associated with a mathematical model of a semiinfinite defect in solid body with an introduced extra plane of given thickness and a cut on its continuation. Within the framework of this model, we deduce an integral equation and find its solution, which enables us to establish the stress-strain state near the dislocation crack. As a result, we determine the geometric parameters and find the energy of a body weakened by the dislocation crack.

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Authors and Affiliations

  1. Karpenko Physicomechanical Institute, Ukrainian National Academy of Sciences, Lviv, Ukraine

    M. H. Stashchuk & M. I. Dorosh

Authors
  1. M. H. Stashchuk
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  2. M. I. Dorosh
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Correspondence to M. H. Stashchuk.

Additional information

Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 51, No. 1, pp. 80–85, January–February, 2015.

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Stashchuk, M.H., Dorosh, M.I. Evaluation of the Potential Energy and Geometric Sizes of a Dislocation Crack. Mater Sci 51, 88–95 (2015). https://doi.org/10.1007/s11003-015-9813-0

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  • DOI: https://doi.org/10.1007/s11003-015-9813-0

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