5参数应力组合杂交格式优化  

OPTIMIZATION ABOUT COMBINED HYBRID SCHEME WITH 5-PARAMETER STRESS MODE

作　　者：聂玉峰[1] 尹云辉[1] 周天孝 

机构地区：[1]西北工业大学应用数学系,西安710072 [2]航空工业第631所

出　　处：《数值计算与计算机应用》2004年第4期252-261,共10页Journal on Numerical Methods and Computer Applications

基　　金：获国家重点基础研究专项"大规模科学计算"西北工业大学英才培养计划;创新基金资助.

摘　　要：It is posed in paper [1] that Zero energy-error can be used to realize the optimization of Combined hybrid finite element methods through adjusting the combined factor. In this paper, the optimization method is used to plane 4-node quadrilateral Combined hybrid scheme CH(0-1) which own 5 stress parameters with energy compatibility characteristic. Based on the optimization results, the analysis of components of element stiffness matrix, and the conclusions about numerical stability and convergence, this paper deduces that the optimal form of CH(0-1) element, is let the combined factor take 1, i.e., just base on Hellinger-Reissner variational principle, and take bilinear compatible displacement interpolation instead of enrich-strain Wilson's displacements interpolation for the orthgonality of 5-parameter stresses mode with the derived strain from Wilson bubble displacements and the weak force balance.It is posed in paper [1] that Zero energy-error can be used to realize the optimization of Combined hybrid finite element methods through adjusting the combined factor. In this paper, the optimization method is used to plane 4-node quadrilateral Combined hybrid scheme CH(0-1) which own 5 stress parameters with energy compatibility characteristic. Based on the optimization results, the analysis of components of element stiffness matrix, and the conclusions about numerical stability and convergence, this paper deduces that the optimal form of CH(0-1) element, is let the combined factor take 1, i.e., just base on Hellinger-Reissner variational principle, and take bilinear compatible displacement interpolation instead of enrich-strain Wilson's displacements interpolation for the orthgonality of 5-parameter stresses mode with the derived strain from Wilson bubble displacements and the weak force balance.

关 键 词：杂交元法 5参数 应力组合 格式优化 网格畸变 平面弹性力学 

分 类 号：O224[理学—运筹学与控制论]