点击次数：

论文类型：期刊论文

发表时间：2012-09-01

发表刊物：JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME

收录刊物：SCIE、EI、Scopus

卷号：79

期号：5

ISSN号：0021-8936

关键字：kirchhoff plate; analytical singular element; symplectic duality system; local-global method

摘要：An analytical singular element with arbitrary high-order precision is constructed using the analytical symplectic eigenfunctions of an annular sector thin plate with both straight sides free. These values can be used to describe the local stress singularities near an arbitrary V-notch or a crack tip. Numerical examples of Kirchhoff's plate bending problem with V-shaped notches are given by applying the Local-Global method. This method combines the present analytical singular element and the conventional finite element method. The numerical results show that the present method is an effective numerical technique for analysis of Kirchhoff plate bending problems with boundary stress singularities. [DOI: 10.1115/1.4006448]