Stable node-based smoothed extended finite element method for fracture analysis of structures

被引：16
作者：
Zhao, J. W. [1 ,2 ]
Feng, S. Z. [1 ,2 ]
Tao, Y. R. [1 ,2 ]
Li, Z. X. [3 ,4 ]
机构：
[1] Hebei Univ Technol, State Key Lab Reliabil & Intelligence Elect Equip, Tianjin 300130, Peoples R China
[2] Hebei Univ Technol, Sch Mech Engn, Tianjin 300130, Peoples R China
[3] Univ Wollongong, Sch Mech Mat Mechatron & Biomed Engn, Wollongong, NSW 2522, Australia
[4] Ocean Univ China, Sch Engn, Qingdao 266100, Peoples R China
来源：
COMPUTERS & STRUCTURES | 2020年 / 240卷
基金：
中国国家自然科学基金;
关键词：
XFEM; Fracture; Numerical methods; NS-FEM; CRACK-GROWTH; MESHFREE METHOD; XFEM; SIMULATION; GRADIENT; PROPAGATION; EFFICIENT; INTEGRATION; SCATTERING; ACCURATE;
D O I：
10.1016/j.compstruc.2020.106357
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
Based on low-order elements, a stable node-based smoothed extended finite element method (SNS-XFEM) is proposed for fracture analysis of structures in this study. For the proposed method, the problem domain is discretized using low-order elements, which can be easily generated for structures with complex shapes. The node-based smoothing domains are then generated to perform the strain smoothing technique, which can effectively avoid singular integration. The discontinuity caused by crack is modeled using enrichment functions and a stabilization term based on strain gradient is also taken into account to further improve the accuracy. Finally, some numerical cases are studied to fully investigate the performance of present method. The obtained results show that the proposed SNS-XFEM can perform much better than standard XFEM and NS-XFEM. (C) 2020 Elsevier Ltd. All rights reserved.
引用
收藏
页数：14
相关论文
共 68 条
  • [1] LINEAR BUCKLING ANALYSIS OF CRACKED PLATES BY SFEM AND XFEM
    Baiz, Pedro M.
    Natarajan, Sundararajan
    Bordas, Stephane P. A.
    Kerfriden, Pierre
    Rabczuk, Timon
    [J]. JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES, 2011, 6 (09) : 1213 - 1238
  • [2] A stochastic XFEM model for the tensile strength prediction of heterogeneous graphite based on microstructural observations
    Bansal, Manik
    Singh, I. V.
    Mishra, B. K.
    Sharma, Kamal
    Khan, I. A.
    [J]. JOURNAL OF NUCLEAR MATERIALS, 2017, 487 : 143 - 157
  • [3] 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
  • [4] 2-S
  • [5] Fatigue crack growth simulations of interfacial cracks in bi-layered FGMs using XFEM
    Bhattacharya, S.
    Singh, I. V.
    Mishra, B. K.
    Bui, T. Q.
    [J]. COMPUTATIONAL MECHANICS, 2013, 52 (04) : 799 - 814
  • [6] Strain smoothing in FEM and XFEM
    Bordas, Stephane P. A.
    Rabczuk, Timon
    Nguyen-Xuan, Hung
    Nguyen, Vinh Phu
    Natarajan, Sundararajan
    Bog, Tino
    Do Minh Quan
    Nguyen Vinh Hiep
    [J]. COMPUTERS & STRUCTURES, 2010, 88 (23-24) : 1419 - 1443
  • [7] Analysis of underwater acoustic scattering problems using stable node-based smoothed finite element method
    Chai, Yingbin
    Li, Wei
    Li, Tianyun
    Gong, Zhixiong
    You, Xiangyu
    [J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2016, 72 : 27 - 41
  • [8] Dynamic brittle crack propagation modeling using singular edge-based smoothed finite element method with local mesh rezoning
    Chen, Haodong
    Wang, Qingsong
    Zeng, W.
    Liu, G. R.
    Sun, Jinhua
    He, Linghui
    Tinh Quoc Bui
    [J]. EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2019, 76 : 208 - 223
  • [9] Extended finite element method with edge-based strain smoothing (ESm-XFEM) for linear elastic crack growth
    Chen, L.
    Rabczuk, T.
    Bordas, S. P. A.
    Liu, G. R.
    Zeng, K. Y.
    Kerfriden, P.
    [J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2012, 209 : 250 - 265
  • [10] A singular edge-based smoothed finite element method (ES-FEM) for bimaterial interface cracks
    Chen, L.
    Liu, G. R.
    Nourbakhsh-Nia, N.
    Zeng, K.
    [J]. COMPUTATIONAL MECHANICS, 2010, 45 (2-3) : 109 - 125
1234567