A method for multiple crack growth in brittle materials without remeshing

被引：196

作者：

Budyn, É ^{[1
]}

Zi, G ^{[1
]}

Moës, N ^{[1
]}

Belytschko, T ^{[1
]}

机构：

[1] Northwestern Univ, Dept Mech Engn, Evanston, IL 60208 USA

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 2004年 / 61卷 / 10期

关键词：

multiple cracks; fracture; finite elements; stability; brittle material; junction; coalescence; percolation; unit cells; second variation of the energy;

D O I：

10.1002/nme.1130

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A method for modelling the growth of multiple cracks in linear elastic media is presented. Both homogeneous and inhomogeneous materials are considered. The method uses the extended finite element method for arbitrary discontinuities and does not require remeshing as the cracks grow; the method also treats the junction of cracks. The crack geometries are arbitrary with respect to the mesh and are described by vector level sets. The overall response of the structure is obtained until complete failure. A stability analysis of competitive cracks tips is performed. The method is applied to bodies in plane strain or plane stress and to unit cells with 2-10 growing cracks (although the method does not limit the number of cracks). It is shown to be efficient and accurate for crack coalescence and percolation problems. Copyright (C) 2004 John Wiley Sons, Ltd.

引用

页码：1741 / 1770

页数：30

共 59 条

[31] Fracture criteria based on local properties of the Eshelby tensor [J].

Kienzler, R ;

Herrmann, G .

MECHANICS RESEARCH COMMUNICATIONS, 2002, 29 (06) :521-527

[32]

Lawler J.S., 2001, THESIS NW U

[33] Three reliability methods for fatigue crack growth [J].

Liu, WK ;

Chen, YJ ;

Belytschko, T ;

Lua, YJ .

ENGINEERING FRACTURE MECHANICS, 1996, 53 (05) :733-752

[34]

Lua Y.J., 1992, INT J FRACTURE MECH, V55, P341

[35] ELASTIC INTERACTIONS OF A FATIGUE-CRACK WITH A MICRODEFECT BY THE MIXED BOUNDARY INTEGRAL-EQUATION METHOD [J].

LUA, YJ ;

LIU, WK ;

BELYTSCHKO, T .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1993, 36 (16) :2743-2759

[36] An engineering model for propagation of small cracks in fatigue [J].

McDowell, DL .

ENGINEERING FRACTURE MECHANICS, 1997, 56 (03) :357-377

[37] The partition of unity finite element method: Basic theory and applications [J].

Melenk, JM ;

Babuska, I .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1996, 139 (1-4) :289-314

[38]

Moës N, 1999, INT J NUMER METH ENG, V46, P131, DOI 10.1002/(SICI)1097-0207(19990910)46:1<131::AID-NME726>3.0.CO

[39]

2-J

[40] A GENERAL TREATMENT OF CRACK TIP CONTOUR INTEGRALS [J].

MORAN, B ;

SHIH, CF .

INTERNATIONAL JOURNAL OF FRACTURE, 1987, 35 (04) :295-310

← 1 2 3 4 5 6 →