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Analysis of the Stress-Strain State of a Body Under the Action of Rigid Punches of Different Shapes

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We consider contact problems of determination of the stress-strain state in the elastic half plane under the action of punches of different shapes (parabolic, cylindrical, elliptic, and hyperbolic). We study specific features of the distribution of contact pressure and stresses in the elastic half plane by using the developed software modules with the use of specially embedded libraries for the evaluation of elliptic integrals of the third kind and the construction of 3D -images and level lines.

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Authors and Affiliations

  1. L. Ukrainka East-European National University, Luts’k, Ukraine

    Yu. V. Sachuk

  2. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine

    O. V. Maksymuk

Authors
  1. Yu. V. Sachuk
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  2. O. V. Maksymuk
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Additional information

Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 57, No. 4, pp. 162–167, October–December, 2014.

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Sachuk, Y.V., Maksymuk, O.V. Analysis of the Stress-Strain State of a Body Under the Action of Rigid Punches of Different Shapes. J Math Sci 220, 204–212 (2017). https://doi.org/10.1007/s10958-016-3177-3

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  • DOI: https://doi.org/10.1007/s10958-016-3177-3

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