Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2012-09-01

Journal: JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME

Included Journals: Scopus、EI、SCIE

Volume: 79

Issue: 5

ISSN: 0021-8936

Key Words: kirchhoff plate; analytical singular element; symplectic duality system; local-global method

Abstract: 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]