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On solution of three-dimensional physically nonlinear problems for symmetrically loaded elastic cylinders

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Abstract

Three-dimensional physically nonlinear boundary-value problems for elastic thick-walled circular cylinders are considered. Solutions are found in the form of series in powers of a specially selected small dimensionless physical parameter. The stressed state of the cylinder is investigated, which is affected by a high nonuniform external pressure. The effects of the physical nonlinearity of the material, the intensity of the external forces, and the geometrical characteristics of the cylinder on its elastic equilibrium are revealed.

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev, Ukraine

    Yu. N. Nemish & O. I. Levchuk

Authors
  1. Yu. N. Nemish
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  2. O. I. Levchuk
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Translated from Prikladnaya Mekhanika, Vol. 35, No. 5, pp. 69–76, May, 1999.

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Nemish, Y.N., Levchuk, O.I. On solution of three-dimensional physically nonlinear problems for symmetrically loaded elastic cylinders. Int Appl Mech 35, 493–500 (1999). https://doi.org/10.1007/BF03355409

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  • DOI: https://doi.org/10.1007/BF03355409

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