Fracture analysis for materials by a stable generalized/extended finite element method

Author:

Jia H G1ORCID,Zhao Y M1,Nie Y F2,Li S Q1

Affiliation:

1. School of Science, Xuchang University, Xuchang, China

2. School of Mathematics and Statistics, Northwestern Polytechnical University, Xi'an, China

Abstract

ABSTRACT In this paper, a method is proposed for extracting fracture parameters in isotropic material cracking via a stable generalized/extended finite element method. The numerical results of the stress intensity factors and scaled condition number of the system matrix are presented and compared with different enrichment schemes or those reported in related references. The good agreement and convergence of the results obtained by the developed method with those obtained by other solutions or enrichment schemes proves the applicability of the proposed approach and confirms its capability of efficiently extracting fracture parameters in isotropic materials.

Funder

National Natural Science Foundation of China

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics,Mechanical Engineering,Condensed Matter Physics

Reference19 articles.

1. Stress intensity factors based fracture criteria for kinking and branching of interface crack: application to dams;Chandra Kishen;Engineering Fracture Mechanics,2001

2. Elastic crack growth in finite elements with minimal remeshing;Belytschko;International Journal for Numerical Methods in Engineering,1999

3. A finite element method for crack growth without remeshing;Moës;International Journal for Numerical Methods in Engineering,1999

4. The partition of unity finite element method: basic theory and applications;Melenk;Computer Methods in Applied Mechanics and Engineering,1996

5. Extended finite element method for quasi-brittle fracture;Stefano;International Journal for Numerical Methods in Engineering,2003

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