Fully enriched weight functions in mesh-free methods for the analysis of linear elastic fracture mechanics problems

被引：14

作者：

Namakian, Reza ^{[1
]}

Shodja, Hossein M. ^{[1
,2
]}

Mashayekhi, Mohammad ^{[1
]}

机构：

[1] Sharif Univ Technol, Dept Civil Engn, Ctr Excellence Struct & Earthquake Engn, Tehran, Iran

[2] Sharif Univ Technol, Inst Nanosci & Nanotechnol, Tehran, Iran

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2014年 / 43卷

关键词：

Fully enriched weight functions (FEWFs); Moving least square reproducing kernel method (MLSRKM); Linear elastic fracture mechanics (LEFM); Mesh-free methods (MMs); J-integral; ESSENTIAL BOUNDARY-CONDITIONS; CRACK-TIP; FINITE-ELEMENT; IMPLEMENTATION; APPROXIMATIONS; HYDRODYNAMICS; DEFORMATION; PROPAGATION; INITIATION; PARTITION;

D O I：

10.1016/j.enganabound.2014.02.006

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The so-called enriched weight functions (EWFs) are utilized in mesh-free methods (MMs) to solve linear elastic fracture mechanics (LEFM) problems; the following issues are of concern: convergence behavior; sufficiency of EWFs to capture singular fields around the crack-tip; and the preservation of the J-integral path-independency. EWFs prove useful in conjunction with the moving least square reproducing kernel method (MLSRKM); for this purpose, both EWFs and MLSRKM are modified. Since EWFs are not truly representative of the near-tip solution, fully EWFs (FEWFs) are introduced. Finally, some descriptive examples address the aforementioned concerns and the accuracy and efficacy of the proposed technique. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：1 / 18

页数：18

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