从球形压力容器在内压作用下的解析解出发进行分析，指出在现有著作和规范中，直接对沿壳体厚度变化的应力表达式沿壳体厚度的一条“处理线”进行一维积分求解厚壁球壳壁上的薄膜应力和弯曲应力的方法在概念上不够准确，会导致一定的额外误差。由此提出了在壳体的环形截面区域的一个“处理面”上进行二维积分来求解壳壁上的薄膜应力和弯曲应力的方法，在概念上是准确的，能够避免“处理线”法导致的额外误差。通过一个受内压厚壁球壳的弹性解析计算，说明新方法比原方法有明显的改进。

Based on the analytical solutions of a spherical pressure vessel subjected to internal pressure, it points out that the results of membrane stress and bending stress are inaccurate obtained by the one-dimension integral along a line called assessment line in the direction of shell thickness recommended by some references and standards. Therefore, a more accurate method is presented in which the resorted stresses are obtained through two-dimension integral over a ring cross-section area called assessment area of the shell. As an example, an analysis based on the elastic analytical solutions of a thick-walled spherical shell bearing internal pressure shows that the method suggested by this paper can make analysis and design of pressure vessels more accurate.

尹益辉（1965－），男，四川江油市人，博士，中国工程物理研究院总体工程研究所研究员，博士生导师，主要从事复杂结构分析和工程力学研究