An iterative coupling between meshless methods to solve embedded crack problems

被引：7

作者：

Fontes, E. F., Jr. ^{[1
]}

Santiago, J. A. F. ^{[1
]}

Telles, J. C. F. ^{[1
]}

机构：

[1] COPPE UFRJ, Civil Engn Programme, BR-21941972 Rio De Janeiro, RJ, Brazil

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2015年 / 55卷

关键词：

Iterative coupling; Meshless; Green's function; Crack; FREQUENCY-DOMAIN ANALYSIS; GALERKIN MLPG APPROACH; FINITE;

D O I：

10.1016/j.enganabound.2014.11.030

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A truly meshless iterative coupling is presented to solve linear elastic fracture mechanic (LEFM) problems. The global domain of the problem is decomposed into sub-domains, where each one is addressed using an appropriate meshless method. The sub-domain which has embedded cracks is modeled by the method of fundamental solutions (MFS) with the help of the numerical Greens function (NGF) approach and the sub-domain without cracks is modeled by the meshless local Petrov-Galerkin (MLPG) procedure. By using the NGF approach the representation of the crack is automatically included. The specific computations of each meshless method are performed independently, coupled with an iterative renewal of variables procedure, restricted to interface unknowns, to achieve the final convergence. The iterative solution procedure presented yields good results as compared with the boundary element method and analytical solutions for stress intensity factor computations. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：52 / 57

页数：6

共 24 条

[1]

Atluri S.N., 2002, MESHLESS LOCAL PETRO

[2] The meshless local Petrov-Galerkin (MLPG) approach for solving problems in elasto-statics [J].

Atluri, SN ;

Zhu, TL .

COMPUTATIONAL MECHANICS, 2000, 25 (2-3) :169-179

[3] A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics [J].

Atluri, SN ;

Zhu, T .

COMPUTATIONAL MECHANICS, 1998, 22 (02) :117-127

[4] Meshless methods: An overview and recent developments [J].

Belytschko, T ;

Krongauz, Y ;

Organ, D ;

Fleming, M ;

Krysl, P .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1996, 139 (1-4) :3-47

[5]

Brebbia C. A., 1984, BOUNDARY ELEMENTS TE

[6]

Carneiro F., 1943, P 5 M BRAZILIAN ASS, P126

[7]

Ching HK, 2001, CMES-COMP MODEL ENG, V2, P273

[8] An overlapping domain decomposition approach for coupling the finite and boundary element methods [J].

Elleithy, WM ;

Al-Gahtani, HJ .

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2000, 24 (05) :391-398

[9] On a regularized method of fundamental solutions coupled with the numerical Green's function procedure to solve embedded crack problems [J].

Fontes, E. F., Jr. ;

Santiago, J. A. F. ;

Telles, J. C. F. .

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2013, 37 (01) :1-7

[10] Frequency domain analysis of interacting acoustic-elastodynamic models taking into account optimized iterative coupling of different numerical methods [J].

Godinho, L. ;

Soares, D., Jr. .

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2013, 37 (7-8) :1074-1088

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