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Analysis of the Axisymmetric Stress–Strain State of a Continuously Inhomogeneous Hollow Sphere

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The stress–strain state of a continuously inhomogeneous hollow sphere is analyzed using a spatial problem statement. The axisymmetric problem is solved using the spline-collocation and finite-element methods. The SSS of the sphere is investigated for various materials with elastic modulus varying along the radius. The numerical results obtained with two different methods are analyzed.

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Authors and Affiliations

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

    A. Ya. Grigorenko, N. P. Yaremchenko & S. N. Yaremchenko

Authors
  1. A. Ya. Grigorenko
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  2. N. P. Yaremchenko
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  3. S. N. Yaremchenko
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Corresponding author

Correspondence to A. Ya. Grigorenko.

Additional information

Translated from Prikladnaya Mekhanika, Vol. 54, No. 5, pp. 96–102, September–October, 2018.

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Grigorenko, A.Y., Yaremchenko, N.P. & Yaremchenko, S.N. Analysis of the Axisymmetric Stress–Strain State of a Continuously Inhomogeneous Hollow Sphere. Int Appl Mech 54, 577–583 (2018). https://doi.org/10.1007/s10778-018-0911-1

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  • DOI: https://doi.org/10.1007/s10778-018-0911-1

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