International Applied Mechanics

, Volume 43, Issue 11, pp 1208–1217 | Cite as

Elastoplastic stress-strain state of flexible layered shells made of isotropic and transversely isotropic materials with different moduli and subjected to axisymmetric loading

  • M. E. Babeshko
  • Yu. N. Shevchenko
Article
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Abstract

The paper proposes a numerical technique for analysis of the elastoplastic stress-strain state of flexible layered shells of revolution under axisymmetric loading. It is assumed that the shells are made of isotropic and transversely isotropic materials with different moduli in tension and compression. The technique is based on a geometrically nonlinear theory of shells that takes into account the squared angles of rotation and the Kirchhoff-Love hypotheses for a layer stack. The deformation of isotropic materials is described using the theory of deformation along paths of small curvature. The deformation of transversely isotropic materials is described using the theory of elasticity with different moduli in tension and compression. The problem is solved by the method of successive approximations. A numerical example is given

Keywords

flexible layered shells of revolution elastoplastic stress-strain state theory of elasticity with different moduli of elasticity in tension and compression 
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Copyright information

© Springer Science+Business Media, Inc. 2007

Authors and Affiliations

  • M. E. Babeshko
    • 1
  • Yu. N. Shevchenko
    • 1
  1. 1.S. P. Timoshenko Institute of MechanicsNational Academy of Sciences of UkraineKyiv

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