%0 Journal Article
%T ENRICHED MESHLESS MANIFOLD METHOD<br>扩展的无网格流形方法
%A LI Shu-chen
%A CHENG Yu-min
%A LI Shu-cai
%A <br>李树忱
%A 程玉民
%A 李术才
%J 岩石力学与工程学报
%D 2005
%I 
%X In meshless manifold method,finite cover technology is employed. The mathematical finite cover approximation theory is used to model cracks that lead to displacement discontinuity. The discontinuity is treated mathematically instead of empirically by the existing methods such as:(1) the diffraction method;(2) the transparency method;and (3) the see-through method. One cover of a node is divided into two irregular sub-covers when the meshless manifold method is used to model the discontinuity. However the method sometimes causes numerical errors at the tip of a crack. To improve the precision of the meshless manifold method,the enriched methods are introduced. The enrichment of solution of the meshless manifold method near the tip of a linear- elastic crack is achieved by expanding the basis functions with special functions. The validity and accuracy of the enriched meshless manifold method are illustrated by numerical examples.
%K numerical analysis
%K meshless manifold method
%K finite cover technology
%K partition of unity
%K crack
%K stress intensity factors<br>数值分析
%K 无网格流形方法
%K 有限覆盖技术
%K 单位分解法
%K 裂纹
%K 应力强度因子
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=D3421FAA1A0A0F0C&jid=35E747D791A1346351AFB523B7FA35CB&aid=6561087E11AE0167&yid=2DD7160C83D0ACED&vid=B91E8C6D6FE990DB&iid=59906B3B2830C2C5&sid=358F2B73B31EF50A&eid=CFC6DB3515228A5D&journal_id=1000-6915&journal_name=岩石力学与工程学报&referenced_num=3&reference_num=40