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Three-Dimensional Analysis of the Stress–Strain State of Inhomogeneous Hollow Cylinders Using Various Approaches

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The stress–strain state of an inhomogeneous hollow cylinder with clamped edges is studied using the three-dimensional elasticity theory. The problem is solved with the spline-approximation and finite-element methods. To reduce the system of partial differential equations to a system of ordinary high-order differential equations, two-dimensional splines are applied. The one-dimensional problem is solved with the method of discrete orthgonalization. The results obtained with the spline-approximation and finite-element methods for an open inhomogeneous cylinder with a radially varying elastic modulus are compared.

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, 3 Nesterova Str., Kyiv, Ukraine, 03057

    A. Ya. Grigorenko & S. N. Yaremchenko

Authors
  1. A. Ya. Grigorenko
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  2. S. N. Yaremchenko
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Correspondence to A. Ya. Grigorenko.

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Translated from Prikladnaya Mekhanika, Vol. 55, No. 5, pp. 39–46, September–October 2019.

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Grigorenko, A.Y., Yaremchenko, S.N. Three-Dimensional Analysis of the Stress–Strain State of Inhomogeneous Hollow Cylinders Using Various Approaches. Int Appl Mech 55, 487–494 (2019). https://doi.org/10.1007/s10778-019-00970-2

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  • DOI: https://doi.org/10.1007/s10778-019-00970-2

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