文章基本信息

标题：On the Linear Dependencies of Interpolation Functions in s-Version Finite Element Method
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作者：Takanori OOYA ; Satoyuki TANAKA ; Hiroshi OKADA 等
期刊名称：Journal of Computational Science and Technology
电子版ISSN：1881-6894
出版年度：2009
卷号：3
期号：1
页码：124-135
DOI：10.1299/jcst.3.124
出版社：The Japan Society of Mechanical Engineers
摘要：In this paper, we first point out that the finite element interpolation functions sometime lose their linear independencies when the elements are superposed each other in s-Version finite element (s-FEM) analyses. This problem has been known among engineers/researchers who have studied and used the s-FEM for solid mechanics analyses. Once the interpolation functions lose their linear independencies, resulting global stiffness matrix becomes singular and, therefore, the solutions lose their uniqueness. Although it is rare for an analyst to come across such a problem, it degrades the robustness of s-FEM. This paper describes a way to judge the occurrence of such a problem and propose a method to circumvent it.
关键词：Finite Element Method (FEM);Stress Intensity Factor;Numerical Analysis;Structural Analysis;Elasticity;s-Version FEM (s-FEM)