Reissner-Mindlin板的一种新的稳定有限元法  

A New Stabilized Finite Element Method for the Reissner-Mindlin Plate

作　　者：罗家福[1] 谢春梅[2] 冯民富[2] 

机构地区：[1]四川大学建筑与环境学院,四川成都610064 [2]四川大学数学学院,四川成都610064

出　　处：《四川大学学报（工程科学版）》2007年第5期38-43,共6页Journal of Sichuan University (Engineering Science Edition)

基　　金：四川省科技攻关课题资助项目(05GG006-006-2)

摘　　要：对于Reissner-Mindlin板,提出了一个绝对稳定的有限方法,此算法可以看作是M.Lyly稳定化方法的改进。改进后算法放松了对稳定化参数α的限制对任意的稳定化参数α>0都无条件稳定。数值实验表明,对于相同的α,本算法比Lyly中算法的收敛速度快,对稍大的α,优势更为明显。As a altered form of the stabilized method of M. Lyly, a new absolute stabilized finite element method is presented for the Reissner-Mindlin plate model. It is robust for all positive stabilized parameter α, while α has to satisfy some conditions for the method of Lyly to ensure the method＇ s validity. Furthermore, numerical experiments verify that, for the same α the altered form performs better than it does in Lyly＇ s method, and for the larger α the advantage is more obvious.

关 键 词：REISSNER-MINDLIN板 locking现象 稳定化方法 

分 类 号：O343.1[理学—固体力学] O242.21[理学—力学]