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有初始缺陷的薄壳塑性屈曲问题同时包含了两种非线性因素：几何非线性因素和物理非线性因素。由于薄壳塑性失稳问题本身具有非线性和非保守的性质，再加上几何的和物理的这两方面非线性因素的交互影响，使这一问题的解决变得十分困难和复杂。 本文对于有初始缺陷的加肋薄壳在静水外压力下的塑性失稳提出一种理论分析方法。方法的实质是将这种塑性失稳的复杂的非线性问题用理论分析的方法化成为一系列的各向异性薄壳的弹性失稳问题；然后运用电子计算机来实现将一系列的各向异性线性弹性解去逼近一个非线性塑性解。这一方法曾用于解决环肋柱壳的总体弹塑性失［１］，肋问壳板弹塑性失稳，截顶环肋锥壳塑性屈曲；加肋柱形块壳塑性失稳以及厚壳塑性失稳等问题。这一方法的理论分析结果与实验结果比较符合［１］。 本文着重以环肋柱壳的塑性失稳为主要内容来说明这一方法的运用和结果。对于柱形块壳和环肋锥壳塑性屈曲只给出主要结果。
The problem of plastic buckling of thin shells with initial defects also includes two kinds of nonlinear factors: geometric nonlinear factors and physical nonlinear factors. Because of the non-linear and non-conservative nature of the problem of plastic instability in thin shells, coupled with the interaction of nonlinear factors in both geometric and physical aspects, the solution to this problem becomes very difficult and complex. This paper presents a theoretical analysis method for the plastic instability of ribbed shells with initial defects under static water pressure. The essence of the method is to use the method of theoretical analysis to transform the complex nonlinear problem of plastic instability into a series of elastic instability problems of anisotropic thin shells; then use computers to implement a series of anisotropy. Linear elastic solutions approach a nonlinear plastic solution. This method has been used to solve the overall elastoplastic loss of the ring rib shell [1], the elastoplastic instability of the ribs and shells, plastic buckling of the truncated ring rib conical shell, plastic instability of the ribbed cylindrical shell and thick shell Plastic instability and other issues. The theoretical analysis results of this method are in good agreement with the experimental results [1]. This article focuses on the plastic instability of the ring shell as the main content to illustrate the application of this method and results. The main results are only given for the plastic buckling of the cylindrical block shell and the rib conical shell.