伽辽金边界元法在平面问题极限分析中的应用  

Application of Symmetric Galerkin Boundary Element Method in Limit Analysis of Plane Problems

作　　者：赵亚楠[1] 张晓峰[1] 刘应华[1] 岑章志[1] 

机构地区：[1]清华大学工程力学系,北京100084

出　　处：《重庆建筑大学学报》2000年第6期112-116,共5页Journal of Chongqing Jianzhu University

基　　金：清华大学基础研究基金;国家自然科学基金! (1990 2 0 0 7)

摘　　要：基于极限分析的下限定理 ,利用伽辽金边界元方法对二维结构进行离散 ,建立了结构极限 (下限 )分析的计算格式。利用弹塑性增量算法中同一增量步上不同迭代步的应力差作为基矢量构造了自平衡应力场 ,然后通过复合形法直接求解该非线性规划问题 ,得到了二维结构极限载荷下限乘子。Based on Melan's theorem, the symmetric Galerkin boundary element method (SGBEM) is used to discretize two dimensional structures and a computational formulation of structural limit analysis is established. The self equilibrium stress field is constructed by linear combination of several basic vectors, which are the stress differences between different iteration steps at the same increment using the traditional elastoplastic incremental method. Then the complex method is used to solve the nonlinear programming directly, so that the lower bound load multiplier of two dimensional structures is obtained. The validation of the present method has been confirmed by some numerical examples.

关 键 词：伽辽金边界元法 极限分析 基矢量 复合形法 平面问题 

分 类 号：O343.1[理学—固体力学]