A polygonal finite element method for modeling crack propagation with minimum remeshing

被引：50
作者：
Khoei, A. R. [1 ]
Yasbolaghi, R. [1 ]
Biabanaki, S. O. R. [1 ]
机构：
[1] Sharif Univ Technol, Ctr Excellence Struct & Earthquake Engn, Dept Civil Engn, Tehran, Iran
来源：
INTERNATIONAL JOURNAL OF FRACTURE | 2015年 / 194卷 / 02期
基金：
美国国家科学基金会;
关键词：
Polygonal FEM; Linear fracture mechanics; Crack propagation; Singular polygonal element; SHAPE FUNCTIONS; NONCONFORMAL MESHES; LINEAR ELASTICITY; GROWTH; CONSTRUCTION; REFINEMENT; INTERPOLANTS; FRACTURE; CONTACT;
D O I：
10.1007/s10704-015-0044-z
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, a polygonal finite element method is presented for crack growth simulation with minimum remeshing. A local polygonal mesh strategy is performed employing polygonal finite element method to model the crack propagation. In order to model the singular crack tip fields, the convex and concave polygonal elements are modified based on the singular quarter point isoparametric concept that improves the accuracy of the stress intensity factors. Numerical simulations are performed to demonstrate the efficiency of various polygonal shape functions, including the Wachspress, metric, Laplace and mean value shape functions, in modeling the crack tip fields. Eventually, analogy of the results with the existing numerical and experimental data is carried out depicting accuracy of the propounded technique.
引用
收藏
页码：123 / 148
页数：26
相关论文
共 60 条
[41]   Polygon scaled boundary finite elements for crack propagation modelling [J].
Ooi, Ean Tat ;
Song, Chongmin ;
Tin-Loi, Francis ;
Yang, Zhenjun .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2012, 91 (03) :319-342
[42]  
Pinkall Ulrich, 1993, Exp. Math., V1, P15, DOI 10.1080/10586458.1993.10504266
[43]   QUADRATIC SERENDIPITY FINITE ELEMENTS ON POLYGONS USING GENERALIZED BARYCENTRIC COORDINATES [J].
Rand, Alexander ;
Gillette, Andrew ;
Bajaj, Chandrajit .
MATHEMATICS OF COMPUTATION, 2014, 83 (290) :2691-2716
[44]   The arbitrary local mesh replacement method: An alternative to remeshing for crack propagation analysis [J].
Rashid, MM .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1998, 154 (1-2) :133-150
[45]   A PATH INDEPENDENT INTEGRAL AND APPROXIMATE ANALYSIS OF STRAIN CONCENTRATION BY NOTCHES AND CRACKS [J].
RICE, JR .
JOURNAL OF APPLIED MECHANICS, 1968, 35 (02) :379-+
[46]   STRAIN ENERGY DENSITY FACTOR APPLIED TO MIXED MODE CRACK PROBLEMS [J].
SIH, GC .
INTERNATIONAL JOURNAL OF FRACTURE, 1974, 10 (03) :305-321
[47]   Unstructured polygonal meshes with adaptive refinement for the numerical simulation of dynamic cohesive fracture [J].
Spring, Daniel W. ;
Leon, Sofie E. ;
Paulino, Glaucio H. .
INTERNATIONAL JOURNAL OF FRACTURE, 2014, 189 (01) :33-57
[48]   Recent advances in the construction of polygonal finite element interpolants [J].
Sukumar, N. ;
Malsch, E. A. .
ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING, 2006, 13 (01) :129-163
[49]   Construction of polygonal interpolants: a maximum entropy approach [J].
Sukumar, N .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2004, 61 (12) :2159-2181
[50]   Conforming polygonal finite elements [J].
Sukumar, N ;
Tabarraei, A .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2004, 61 (12) :2045-2066
123456