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Effect of dissipative processes on the near-surface inhomogeneity of a hollow cylinder

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We formulate the basic relations of a mathematical model of mechanics of elastic deformable systems that describes the formation of a near-surface inhomogeneity caused by both the process of local mass displacement and dissipative processes. On this basis, we solve the problem of the stationary stress-strain state of an infinite hollow cylinder. It is shown that the near-surface inhomogeneity of the distribution of stresses and chemical potential is characterized by two parameters. One of them is related to the local mass displacement, and the other is a consequence of dissipative processes in the body.

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Authors and Affiliations

  1. Center of Mathematical Modeling, Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine

    Ya. Yo. Burak, T. S. Nahirnyi & Z. V. Boiko

  2. Zelena Gora University, Zelena Gora, Poland

    T. S. Nahirnyi

Authors
  1. Ya. Yo. Burak
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  2. T. S. Nahirnyi
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  3. Z. V. Boiko
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 54, No. 2, pp. 79–88, April–June, 2011.

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Burak, Y.Y., Nahirnyi, T.S. & Boiko, Z.V. Effect of dissipative processes on the near-surface inhomogeneity of a hollow cylinder. J Math Sci 184, 88–100 (2012). https://doi.org/10.1007/s10958-012-0855-7

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