XFEM fracture analysis of shells: The effect of crack tip enrichments

被引：58

作者：

Bayesteh, H. ^{[1
]}

Mohammadi, S. ^{[1
]}

机构：

[1] Univ Tehran, High Performance Comp Lab, Sch Civil Engn, Tehran, Iran

来源：

COMPUTATIONAL MATERIALS SCIENCE | 2011年 / 50卷 / 10期

关键词：

Crack tip enrichment; Extended finite element method (XFEM); Crack tip opening angle (CTOA); Shells; FINITE-ELEMENT-METHOD; STRESS INTENSITY FACTORS; THIN-WALLED STRUCTURES; PRESSURIZED CYLINDRICAL-SHELL; MINDLIN-REISSNER PLATES; LEVEL SETS; ORTHOTROPIC MEDIA; DYNAMIC FRACTURE; MODELING CRACK; PROPAGATION;

D O I：

10.1016/j.commatsci.2011.04.034

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this study the effect of crack tip enrichment functions in the extended finite element analysis of shells is investigated. Utilization of crack tip enrichments leads to reduction of the required number of elements, mesh independency and increased accuracy in computation of fracture mechanics parameters such as the stress intensity factor, the crack tip opening displacement and the crack tip opening angle. The procedure is verified by modeling various shell and plate problems and available benchmark tests. Also, effects of enrichments of in-plane, out-of-plane and rotational degrees of freedom and high order out-of-plane enrichments on different fracture modes are studied. Moreover, reduction of the dependency of crack tip opening angle on the element size in crack propagation problems is discussed. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：2793 / 2813

页数：21

共 70 条

[1] Non-linear analysis of shells with arbitrary evolving cracks using XFEM [J].

Areias, PMA ;

Belytschko, T .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2005, 62 (03) :384-415

[2] Developing new enrichment functions for crack simulation in orthotropic media by the extended finite element method [J].

Asadpoure, A. ;

Mohammadi, S. .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2007, 69 (10) :2150-2172

[3] Modeling crack in orthotropic media using a coupled finite element and partition of unity methods [J].

Asadpoure, A. ;

Mohammadi, S. ;

Vafai, A. .

FINITE ELEMENTS IN ANALYSIS AND DESIGN, 2006, 42 (13) :1165-1175

[4] Crack analysis in orthotropic media using the extended finite element method [J].

Asadpoure, Alireza ;

Mohammadi, Soheil ;

Vafai, Abolhasan .

THIN-WALLED STRUCTURES, 2006, 44 (09) :1031-1038

[5] Delamination analysis of composites by new orthotropic bimaterial extended finite element method [J].

Ashari, S. Esna ;

Mohammadi, S. .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2011, 86 (13) :1507-1543

[6]

Belytschko T, 1999, INT J NUMER METH ENG, V45, P601, DOI 10.1002/(SICI)1097-0207(19990620)45:5<601::AID-NME598>3.0.CO

[7]

2-S

[8]

Belytschko T, 2001, INT J NUMER METH ENG, V50, P993, DOI 10.1002/1097-0207(20010210)50:4<993::AID-NME164>3.0.CO

[9]

2-M

[10] A generalized finite element formulation for arbitrary basis functions: From isogeometric analysis to XFEM [J].

Benson, D. J. ;

Bazilevs, Y. ;

De Luycker, E. ;

Hsu, M. -C. ;

Scott, M. ;

Hughes, T. J. R. ;

Belytschko, T. .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2010, 83 (06) :765-785

← 1 2 3 4 5 6 7 →