On the Linear Dependencies of Interpolation Functions in s-Version Finite Element Method

Journal of Computational Science and Technology

Takanori OOYA²  Satoyuki TANAKA¹  Hiroshi OKADA² 

[1]Department of Social and Environmental Engineering Graduate School of Engineering, Hiroshima University

[2]Department of Nano Structure and Advanced Materials Graduate School of Science and Engineering Kagoshima University

关键词: Finite Element Method (FEM);    Stress Intensity Factor;    Numerical Analysis;    Structural Analysis;    Elasticity;    s-Version FEM (s-FEM);   

DOI  :  10.1299/jcst.3.124

学科分类：地球科学(综合)

来源: Japan Academy

【 摘 要 】

References(21)Cited-By(3)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.

【 授权许可】

Unknown