A singular cell-based smoothed radial point interpolation method for fracture problems

被引：47

作者：

Liu, G. R. ^{[2
]}

Jiang, Y. ^{[1
]}

Chen, L. ^{[1
]}

Zhang, G. Y. ^{[3
]}

Zhang, Y. W. ^{[4
]}

机构：

[1] Natl Univ Singapore, Ctr Adv Computat Engn Sci ACES, Dept Mech Engn, Singapore 117576, Singapore

[2] CEAS Schl Aerosp Syst, Cincinnati, OH 45221 USA

[3] Univ Western Australia, Intelligent Syst Med Lab, Sch Mech Engn, Crawley, WA 6009, Australia

[4] Inst High Performance Comp, Singapore 138632, Singapore

来源：

COMPUTERS & STRUCTURES | 2011年 / 89卷 / 13-14期

关键词：

Numerical methods; Meshfree method; Stress intensity factors; Fracture; CS-RPIM; Singularity; FINITE-ELEMENT-METHOD; METHOD LC-PIM; HYBRID CRACK ELEMENT; G SPACE THEORY; ELASTICITY PROBLEMS; MESHLESS METHODS; FORMULATION; ACCURACY; GROWTH; FIELD;

D O I：

10.1016/j.compstruc.2011.03.009

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A cell-based smoothed radial point interpolation method (CS-RPIM) is developed for fracture problems. The strain smoothing is performed over background triangular cells. The stiffness matrix is calculated based on the weakened weak formulation, using shape functions obtained by radial point interpolation method. A layer of five-node singular elements are used to simulate the singularity around the crack tip. Different schemes are devised in the five-node elements to perform the strain smoothing. Several examples are presented to validate the newly developed method. The results are found in excellent agreement with the exact (or reference) solutions. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1378 / 1396

页数：19

共 52 条

[1]

[Anonymous], 2002, Cambridge Texts in Applied Mathematics, DOI [10.1017/CBO9780511791253, DOI 10.1017/CBO9780511791253]

[2]

[Anonymous], 2000, FINITE ELEMENT METHO

[3] TRIANGULAR QUARTER-POINT ELEMENTS AS ELASTIC AND PERFECTLY-PLASTIC CRACK TIP ELEMENTS [J].

BARSOUM, RS .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1977, 11 (01) :85-98

[4] DEGENERATE SOLID ELEMENT FOR LINEAR-FRACTURE ANALYSIS OF PLATE BENDING AND GENERAL SHELLS [J].

BARSOUM, RS .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1976, 10 (03) :551-564

[5]

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

[6]

2-S

[7] A review of extended/generalized finite element methods for material modeling [J].

Belytschko, Ted ;

Gracie, Robert ;

Ventura, Giulio .

MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING, 2009, 17 (04)

[8] Enriched finite elements and level sets for damage tolerance assessment of complex structures [J].

Bordas, S ;

Moran, B .

ENGINEERING FRACTURE MECHANICS, 2006, 73 (09) :1176-1201

[9] A simulation-based design paradigm for complex cast components [J].

Bordas, Stephane ;

Conley, James G. ;

Moran, Brian ;

Gray, Joe ;

Nichols, Ed .

ENGINEERING WITH COMPUTERS, 2007, 23 (01) :25-37

[10] Strain smoothing in FEM and XFEM [J].

Bordas, Stephane P. A. ;

Rabczuk, Timon ;

Nguyen-Xuan, Hung ;

Nguyen, Vinh Phu ;

Natarajan, Sundararajan ;

Bog, Tino ;

Do Minh Quan ;

Nguyen Vinh Hiep .

COMPUTERS & STRUCTURES, 2010, 88 (23-24) :1419-1443

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