柱体扭转断裂问题的有限元对偶分析  

Finite element dual analysis for cracked torsion bar

作　　者：王凡[1] 肖奇志[1] 吴长春[2] 

机构地区：[1]中国科学技术大学力学和机械工程系,安徽合肥230026 [2]上海交通大学建工与力学学院力学系,上海200240

出　　处：《计算力学学报》2003年第2期150-154,共5页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(10172078)资助项目.

摘　　要：StVenant扭转问题同样存在J积分对偶积分形式。采用基于最小势能原理的等参元可得J的下限;另一方面,采用基于最小余能原理的平衡元可得J的对偶积分的上限。本文构造了一个性能优越的罚平衡扭转杂交元,计算结果显示其可得到扭转问题应力强度因子的上限。Dual path integrals JT and IT are applied in St. Venant torsion problems. According to the upper and lower bound theorems, the lower bound of JT of the given elastic cracked system can be obtained by using the isoparametric elements based on the minimum potential principle. IT is also useful to get the upper bound for the exact one by using the equilibrium element based on the minimum complementary energy principle. An optimization penalty-equilibrium hybrid stress element is developed and employed to estimate the upper bound of the torsion crack problem.

关 键 词：St Venant扭转 J积分 杂交应力元优化 

分 类 号：O242.21[理学—计算数学]