Paper Title:

The Analytical Trial Function Method (ATFM) for Finite Element Analysis of Plane Crack/Notch Problems

Periodical Key Engineering Materials (Volumes 385 - 387)
Main Theme Advances in Fracture and Damage Mechanics VII
Edited by H.S. Lee, I.S. Yoon and M.H. Aliabadi
Pages 617-620
DOI 10.4028/
Citation Xiang Rong Fu et al., 2008, Key Engineering Materials, 385-387, 617
Online since July, 2008
Authors Xiang Rong Fu, Song Cen, Yu Qiu Long, Xiu Gen Jiang, Jin San Ju
Keywords Analytical Trial Function Method (ATFM), Crack/Notch Problem, Finite Element (FE), Fracture Mechanic, Stress Singularity, Sub-Region Accelerated Müller Method
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A new technique, Analytical Trial Function Method (ATFM), is proposed to formulate new finite element models for analysis of plane crack/notch problems. A new analytical finite element, named ATFM-CN, is successfully constructed. Furthermore, in order to determine the eigenvalues of the crack/notch problems, which utilized in above analytical trial functions, a modified sub-region accelerated Müller method is also suggested. Numerical examples show the present approach exhibits excellent performance in the analysis of stress-singularity problems.

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