摘要
应用数学规划在对弯管进行极限上限分析时,使用Mises屈服函数所计算的塑性耗散功的不可微性可导致收敛困难。通过具有无穷大弹性模量的假想弹塑性材料的应变能代替塑性耗散功,这个问题可被解决。使用弯管极限上限分析的数学规划格式可有效地对弯管进行极限上限分析。
The non-differentiability of the plastic dissipation calculated through the Von-Mises yield function leads to convergence difficulties when using mathematical programming to solve upper bound limit analysis of pipe elbow. This problem is avoided replacing the plastic dissipation by the strain energy of a ficticious elastic-plastic material with a nearly infinite Young modular. The paper provides a mathematical programming fomulation for upper bound limit analysis of pipe elbow.
出处
《油气储运》
CAS
北大核心
1999年第8期14-17,共4页
Oil & Gas Storage and Transportation
关键词
弯管
有限元
极限分析
数学规划
油气储运
pipe elbow,finite element, limit analysis,mathemetical programming
