计算力学学报2016，Vol.33Issue(6)：819-825,845,8.DOI:10.7511/jslx201606003
基于最佳质量网格的薄板问题的非协调流形方法
Incompatible manifold method for thin plate problems based on the best quality mesh
摘要
Abstract
For most incompatible plate elements ,good effects can be achieved if regular meshes are used . But if the mesh is irregular ,the numerical properties will become worse ,and even the convergence cannot be guaranteed .In order to solve mesh dependence ,many transformation elements are raised by many experts ,in w hich the quasi‐conforming elements and the generalized conforming elements can be used to solve convergence .But it has been proved by numerical practice that no good numerical character can be obtained by one element in any situation .Considering the two completely independent covering systems are used in the numerical manifold method (NMM) ,we can always use the best mesh as the mathemati‐cal cover for interpolation .In this way ,the best interpolation precision can be achieved and the conver‐gence is accordingly reached .With the variational formulation of Kirchhoff ’ s plate problems fitted to NMM ,an unified scheme is proposed for NMM to deal with irregular boundaries of domains .By taking the ACM plate element as an example ,finally ,comparisons among the proposed scheme ,ANSYS ,the quasi‐conforming elements and the generalized conforming elements in the literature are made ,indicating that the proposed scheme is advantageous in treating thin plate bending problems w here the plate has a curve boundary .关键词
非协调单元/收敛性/数值流形方法/Kirchhoff薄板Key words
incompatible element/convergence/numerical manifold method/Kirchhoff’s thin plate分类
数理科学引用本文复制引用
屈新,郑宏,苏立君,李春光..基于最佳质量网格的薄板问题的非协调流形方法[J].计算力学学报,2016,33(6):819-825,845,8.基金项目
国家自然科学基金（2011CB013505）；国家重点基础研究发展计划（973）（2012CB733201）资助项目． （）
