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Large deformation elastic-plastic buckling analysis of spherical caps with initial imperfections

Authors
Journal
Computers & Structures
0045-7949
Publisher
Elsevier
Publication Date
Volume
11
Issue
6
Identifiers
DOI: 10.1016/0045-7949(80)90067-x
Disciplines
  • Mathematics

Abstract

Abstract Large deformation elastic-plastic buckling loads are obtained for axisymmetric spherical caps with initial imperfections. The problem formulation is based on equilibrium equations in which the plastic deformation is taken as an effective plastic load. Both perfectly plastic and strain hardening behavior are considered. Strain hardening is represented by the Prager-Ziegler kinematic hardening theory, so that the Bauschinger effect is accounted for. Solutions of elastic-plastic circular plates and spherical caps are in good agreement with previous results. For the spherical cap it was determined that both initial imperfection and plastic deformation have the same effect of reducing buckling capacity; as the magnitude of the imperfection increases, the influence of plastic deformation becomes less important. It is also found that the geometric parameter λ, which is used as an important factor in elastic response, becomes meaningless for the elastic-plastic buckling analysis of spherical caps.

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