%0 Journal Article
%T HIGH ORDER RECTANGULAR ELEMENT OF MANIFOLD METHOD<br>高阶四边形单元的流形方法
%A Song Junsheng
%A Ohnishi Yuzo
%A <br>宋俊生
%A 大西有三
%J 岩石力学与工程学报
%D 2003
%I 
%X The high order displacement function of rectangular element of manifold method is developed based on the theory of manifold method. This new method can simplify the forming of the mathematical meshes and physical covers, reduce the number of small physical covers, and precisely calculate the strain and stress by using the simplex integration. The linear cover displacement function is mainly discussed. The stiffness matrix is formulated. The calculation results, with an example shown, demonstrate that high order rectangular element of manifold method can get more accurate strain and stress.
%K computational mathematics
%K rectangular element
%K manifold method
%K simplex integration<br>高阶四边形单元
%K 数值流形方法
%K 单纯形积分
%K 计算数学
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=D3421FAA1A0A0F0C&jid=35E747D791A1346351AFB523B7FA35CB&aid=2F8638C3CCF7209A&yid=D43C4A19B2EE3C0A&vid=BC12EA701C895178&iid=B31275AF3241DB2D&sid=796A97DD793AE4A8&eid=66973F362693F62B&journal_id=1000-6915&journal_name=岩石力学与工程学报&referenced_num=8&reference_num=9