摘要
对目前所证明的上、下限定理所需的条件进行了分析,认为目前的证明尚存在值得进一步推敲的疑点。文中证明,特征线法的应力关系式与本文的屈服条件、屈服函数的极值条件是相同的。在此基础上,对定理给出了严密的证明。并建议了一种新的流动法则,对应用定理求极限荷载的近似解给出了新的解题思路。
The conditions necessary for verification of the upper and lower limit theorem, which have been now verified, were analyzed. It was believed that there were still disputable points deserving of further elaboration in the verification that had been so far made. It was demonstrated that the stress relationship in the method of characteristics was identical with the yield condition defined in this paper and the conditions for extreme values of the yield function, on such a basis, a rigorous verification was made for the theorem. A new flow rule was recommended, and it offered a new way for obtaining the approximate solution of the ultimate load with the theorem.
出处
《岩土工程学报》
EI
CAS
CSCD
北大核心
2006年第6期700-704,共5页
Chinese Journal of Geotechnical Engineering
关键词
极限分析
极限荷载
上限定理
极值条件
广义流动法则
limit analysis
ultimate load
upper limit theorem
extreme value condition
generalized flow rule
