A fully automatic polygon scaled boundary finite element method for modelling crack propagation

被引：37

作者：

Dai, Shangqiu ^{[1
]}

Augarde, Charles ^{[2
]}

Du, Chengbin ^{[1
]}

Chen, Denghong ^{[3
]}

机构：

[1] Hohai Univ, Dept Engn Mech, Nanjing 210098, Jiangsu, Peoples R China

[2] Univ Durham, Sch Engn & Comp Sci, Durham DH1 3LE, England

[3] China Three Gorges Univ, Coll Civil Engn & Architecture, Yichang 443002, Peoples R China

来源：

ENGINEERING FRACTURE MECHANICS | 2015年 / 133卷

基金：

中国国家自然科学基金;

关键词：

Scaled boundary finite element method; Crack propagation; Fracture; Polygon elements; ASYMPTOTIC ENRICHMENT; NUMERICAL EVALUATION; REINFORCED-CONCRETE; FRACTURE-MECHANICS; COUPLED METHOD; REPRESENTATION; COMPUTATIONS; COEFFICIENTS; FORMULATION; STRESS;

D O I：

10.1016/j.engfracmech.2014.11.011

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

An automatic crack propagation remeshing procedure using the polygon scaled boundary FEM is presented. The remeshing algorithm, developed to model any arbitrary shape, is simple yet flexible because only minimal changes are made to the global mesh in each step. Fewer polygon elements are used to predict the final crack path with the algorithm as compared to previous approaches. Two simple polygon optimisation methods which enable the remeshing procedure to model crack propagation more stably are implemented. Four crack propagation benchmarks are modelled to validate the developed method and demonstrate its salient features. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：163 / 178

页数：16

共 44 条

[1] Three-dimensional crack initiation, propagation, branching and junction in non-linear materials by an extended meshfree method without asymptotic enrichment [J].

Bordas, Stephane ;

Rabczuk, Timon ;

Zi, Goangseup .

ENGINEERING FRACTURE MECHANICS, 2008, 75 (05) :943-960

[2] Crack propagation modelling using an advanced remeshing technique [J].

Bouchard, PO ;

Bay, F ;

Chastel, Y ;

Tovena, I .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2000, 189 (03) :723-742

[3] Numerical modelling of crack propagation: automatic remeshing and comparison of different criteria [J].

Bouchard, PO ;

Bay, F ;

Chastel, Y .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2003, 192 (35-36) :3887-3908

[4] Coupling of the boundary element method and the scaled boundary finite element method for computations in fracture mechanics [J].

Chidgzey, S. R. ;

Trevelyan, J. ;

Deeks, A. J. .

COMPUTERS & STRUCTURES, 2008, 86 (11-12) :1198-1203

[5] Determination of coefficients of crack tip asymptotic fields using the scaled boundary finite element method [J].

Chidgzey, SR ;

Deeks, AJ .

ENGINEERING FRACTURE MECHANICS, 2005, 72 (13) :2019-2036

[6] A virtual work derivation of the scaled boundary finite-element method for elastostatics [J].

Deeks, AJ ;

Wolf, JP .

COMPUTATIONAL MECHANICS, 2002, 28 (06) :489-504

[7]

Fedelinski P, 2011, KEY ENG MATER, V454, P113, DOI 10.4028/www.scientific.net/KEM.454.113

[8]

Freitas J. A. T., 1996, INT J NUMER METH ENG, V39, P281

[9] Accurate determination of the coefficients of elastic crack tip asymptotic field by a hybrid crack element with p-adaptivity [J].

Karihaloo, BL ;

Xiao, QZ .

ENGINEERING FRACTURE MECHANICS, 2001, 68 (15) :1609-1630

[10] Modeling of crack propagation via an automatic adaptive mesh refinement based on modified superconvergent patch recovery technique [J].

Khoei, A. R. ;

Azadi, H. ;

Moslemi, H. .

ENGINEERING FRACTURE MECHANICS, 2008, 75 (10) :2921-2945

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