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.
H.S. Lee, I.S. Yoon and M.H. Aliabadi
X. R. Fu et al., "The Analytical Trial Function Method (ATFM) for Finite Element Analysis of Plane Crack/Notch Problems", Key Engineering Materials, Vols. 385-387, pp. 617-620, 2008