【摘要】 本文研究了钱伟长教授提出的高阶拉氏乘子法,提出了高阶托氏乘子法的一种新的形式,指出若在弹性理论的变分泛函中引入如下新的二次项A_?,则可把Hellinger-Reissner 原理及Hu-Washizu原理的约束条件解除,得到更一般的广义变分原理.更多还原

【Abstract】 In this paper,we investigate the method of high-order Lagrange multiplierproposed by Prof.Chien Wei-zang,and advance a new form for this method.It is proved that by adding the new quadratic terms A_iikl(e_ii-1/2u_i.（?）-1/2u_j.i)·(e_ki-1/2u_k,i-1/2u_i.k)to the original functionals,one can eliminate the cons-traint condition of strain-displacement from Hellinger-Reissner principle and Hu-Washizu principle and find more general form of generalized wariationalprinciples.更多还原