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Stressed state near cracks in elastic media

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A modification of the known nonlinear Barenblatt-Leonov-Panasyuk model of cracks is given, which allows us to obtain a continuous distribution of tensions near cracks in conditions of finite deformations and smooth closings of their boundaries. Functional relations of formation and increase of cracks are given, which assume their experimental checking together with a determination of quantitative characteristics that belong to the model of parameters.

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Translated from Dinamicheskie Sistemy, No. 7, pp. 3–7, 1988.

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Shevlyakov, Y.A., Tishchenko, V.N. Stressed state near cracks in elastic media. J Math Sci 65, 1491–1494 (1993). https://doi.org/10.1007/BF01097649

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  • Stressed State
  • Elastic Medium
  • Continuous Distribution
  • Quantitative Characteristic
  • Functional Relation