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

摘要

A new technique, Analytical Trial Function Method (ATFM), is proposed to formulate new finite element models for analysis of plane crackotch problems. A new analytical finite element, named ATFM-CN, is successfully constructed. Furthermore, in order to determine the eigenvalues of the crackotch problems, which utilized in above analytical trial functions, a modified sub-region accelerated Mueller method is also suggested. Numerical examples show the present approach exhibits excellent performance in the analysis of stress-singularity problems.