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International Applied Mechanics

, Volume 55, Issue 5, pp 487–494 | Cite as

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

  • A. Ya. GrigorenkoEmail author
  • S. N. Yaremchenko
Article
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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.

Keywords

stress–strain state three-dimensional elasticity theory hollow cylinder finite length spline collocation finite-element method 

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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.S. P. Timoshenko Institute of MechanicsNational Academy of Sciences of UkraineKyivUkraine

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