%0 Journal Article
%T Incompatible Numerical Manifold Method<br>弹性力学中的一种非协调数值流形方法
%A Wei Gaofeng
%A Feng Wel
%A <br>魏高峰
%A 冯伟
%J 力学学报
%D 2006
%I 
%X The numerical manifold method (NMM) comes from the discontinuous deformation analysis. The method unifies mathematical and physical mesh into a system: the mathematical mesh provides the nodes for building a finite covering of the solution domain and the partition of unity functions; while the physical mesh provides the domain of integration. So the domains of the interpolation and the integration are defined on two different covers in NMM, respectively. Finally two meshes are connected by the weighted function in the method. The method has some advantages which are discreted by arbitrary meshes including circle, triangle and rectangle etc. Hence the method is a new universal numerical analysis method which is not restricted by complex geometrical shapes and different material interfaces of the analytical problem. In the NMM of the quadrangle with four nodes, the modeling results have some errors for the total element test functions in the polynomial space are not entire. For voiding the disadvantages, the incompatible displacement term is added in total element test function which the test functions are made more complete. And the paper develops an incompatible numerical manifold method which is kind of the improved NMM. The method has high computing efficiency and accuracy under adding no generalized degrees of freedom. The paper are also derived the element strain matrix and the element stiffness matrix by eliminating the internal parameters. At the same time, an explicit equation for three-dimensional elasticity problem is derived to apply the method to practice engineering. Finally several numerical examples are analyzed to illustrate the stability and convergence of the present method. The results are shown that the method is highly validity and accuracy.
%K numerical manifold method
%K incompatible element
%K additional test function
%K generalized degree of freedom
%K static concentration<br>数值流形方法
%K 非协调元
%K 附加位移基本项
%K 广义自由度
%K 静力凝聚
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=5D344E2AD54D14F8&jid=4100DA4A1A3BA1B0CE5AD99AE1DFB420&aid=A6BF8183D931C109&yid=37904DC365DD7266&vid=16D8618C6164A3ED&iid=CA4FD0336C81A37A&sid=9C65ADEB5990B252&eid=7E8E8B150580E4AB&journal_id=0459-1879&journal_name=力学学报&referenced_num=0&reference_num=9