初始几何缺陷对薄圆环板弹塑性稳定性的影响

本文应用Neale关于增量边界值问题的广义变分原理,考察初始几何缺陷对薄圆环板弹塑性屈曲临界载荷的影响,计算表明,只要在J₂增量理论的解中计入初始几何缺陷的影响,所得的结果与几何理想圆环板在塑性形变理论下的分支性屈曲载荷十分接近.

Effect of Initial Imperfections in Geometry on the Elastic- Plastic Stability of a Thin Annular Plate

In this paper, Neale's generalized variational principle about incremental boundary-value problems is utilized to study the effect of initial imperfections in geometry on the critical loads of elastic-plastic buckling of thin annular plates. The calculations show that, if the effect of initial imperfections in geometry is taken into account in the solutions by J₂ incremental theory, the results are very close to the bifurca-tional buckling loads of the perfect annular plates according to the plastic deformation theory.