圆柱壳的塑性膨胀和变形

The plastic expansion and deformation of a cylinder shell

根据材料不可压缩假设,适当选取材料塑性本构关系,将圆柱壳塑性膨胀运动简化为以圆柱壳内半径为因变量的常微分方程初值问题。对3种初始内外半径比纯铜厚壁圆柱壳膨胀过程的计算表明,应变率硬化阻碍圆柱壳的塑性膨胀运动,应变硬化和温度效应的影响可以忽略,而与圆柱壳的厚度无关。

Assuming the material to be incompressible and using appropriate plastic constitutive rela- tions, the partial differential equations governing the dynamic expansion of a cylinder shell under in- ternai pressure can be reduced to an ordinary differential equation taking the internal radius as the de- pendent variable. Some meaningful results are gained by numerical analysis on Cu. The stain rate hardening impedes the dynamic expansion of the cylinder shell, whereas the influence of the strain hardening and thermal effects can be neglected, which is independent of the shell thickness.