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

被引：43
|
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
收藏
页码：1378 / 1396
页数：19
相关论文
共 50 条
  • [1] A Combination of Singular Cell-Based Smoothed Radial Point Interpolation Method and FEM in Solving Fracture Problem
    Zhang, Guiyong
    Wang, Yaomei
    Jiang, Yong
    Jiang, Yichen
    Zong, Zhi
    [J]. INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2018, 15 (08)
  • [2] Cell-Based Smoothed Radial Point Interpolation Method for Underwater Acoustic Scattering Problems
    Zhang, Guiyong
    Xu, Youyun
    Zhong, Jize
    Zhou, Bo
    He, Zhicheng
    Li, Wei
    [J]. JOURNAL OF THEORETICAL AND COMPUTATIONAL ACOUSTICS, 2022, 30 (04):
  • [3] Numerical computation for acoustic problems with a cell-based smoothed radial point interpolation method
    Yao, Ling-Yun
    Yu, De-Jie
    Zang, Xian-Guo
    [J]. Zhendong yu Chongji/Journal of Vibration and Shock, 2011, 30 (10): : 188 - 192
  • [4] Cell-Based Smoothed Radial Point Interpolation Method for Contact Problems in Metal Forming Analysis
    Cui, Xiangyang
    Li, Guangyao
    Zheng, Gang
    Fang, Zhou
    [J]. STEEL RESEARCH INTERNATIONAL, 2010, 81 (09) : 1486 - 1489
  • [5] A Meshfree Cell-based Smoothed Point Interpolation Method for Solid Mechanics Problems
    Zhang, Guiyong
    Liu, Gui-Rong
    [J]. ISCM II AND EPMESC XII, PTS 1 AND 2, 2010, 1233 : 887 - 892
  • [6] Analysis of Transient Thermo-Elastic Problems Using a Cell-Based Smoothed Radial Point Interpolation Method
    Wu, Gang
    Zhang, Jian
    Li, Yuelin
    Yin, Lairong
    Liu, Zhiqiang
    [J]. INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2016, 13 (05)
  • [7] Numerical treatment of 2D acoustic problems with the cell-based smoothed radial point interpolation method
    Yao, L. Y.
    Yu, D. J.
    Zhou, J. W.
    [J]. APPLIED ACOUSTICS, 2012, 73 (6-7) : 557 - 574
  • [8] MESHFREE CELL-BASED SMOOTHED ALPHA RADIAL POINT INTERPOLATION METHOD (CS-α RPIM) FOR SOLID MECHANICS PROBLEMS
    Liu, G. R.
    Zhang, G. Y.
    Zong, Z.
    Li, M.
    [J]. INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2013, 10 (04)
  • [9] Dispersion error control for underwater acoustic scattering problems using a coupled cell-based smoothed radial point interpolation method
    Wu, Shaowei
    Xiang, Yang
    Li, Wanyou
    [J]. OCEAN ENGINEERING, 2023, 271
  • [10] A cell-based smoothed radial point interpolation method applied to kinematic limit analysis of thin plates
    Chen, Shenshen
    Xu, Mengyao
    Zhu, Xianyi
    [J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2022, 143 : 710 - 718
12345