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

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.

Key Engineering Materials (Volumes 385-387)
Edited by
H.S. Lee, I.S. Yoon and M.H. Aliabadi
X. R. Fu, S. Cen, Y. Q. Long, X. G. Jiang, J. S. Ju, "The Analytical Trial Function Method (ATFM) for Finite Element Analysis of Plane Crack/Notch Problems", Key Engineering Materials, Vols 385-387, pp. 617-620, Jul. 2008
Online since
July 2008
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