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Alternative TitleIncompatible manifold method for thin plate problems based on the best quality mesh
屈新1; 郑宏2; 苏立君1; 李春光2
Corresponding Author郑宏
Source Publication计算力学学报
Other 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 which 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 mathematical cover for interpolation.In this way,the best interpolation precision can be achieved and the convergence 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 where the plate has a curve boundary.

Keyword非协调单元 收敛性 数值流形方法 Kirchhoff薄板
Subject AreaO241.82
Indexed ByCSCD ; 北大中文核心
Funding Organization国家自然科学基金(2011CB013505) ; 国家重点基础研究发展计划(973)(2012CB733201)
Citation statistics
Cited Times:1[CSCD]   [CSCD Record]
Document Type期刊论文
First Author Affilication中国科学院水利部成都山地灾害与环境研究所
Recommended Citation
GB/T 7714
屈新,郑宏,苏立君,等. 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.
APA 屈新,郑宏,苏立君,&李春光.(2016).基于最佳质量网格的薄板问题的非协调流形方法.计算力学学报,33(6),819-825+845.
MLA 屈新,et al."基于最佳质量网格的薄板问题的非协调流形方法".计算力学学报 33.6(2016):819-825+845.
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