|Table of Contents|

Crack propagation simulation based on extended finite element method(PDF)

长安大学学报（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

Issue:
2013年02期
Page:
68-72
Research Field:
桥梁与隧道工程
Publishing date:

Info

Title:
Crack propagation simulation based on extended finite element method
Author(s):
YIN Guan-sheng;  ZHOU Xiao-fei
School of Science, Chang'an University, Xi'an 710064, Shaanxi, China
Keywords:
mechanics;  XFEM;  numerical method;  ABAQUS;  crack growth simulation
PACS:
O302
DOI:
-
Abstract:
Crack propagation of drill pipe is a typical discontinuous problem, which is difficult to be simulated with traditional finite element method. In order to solve the defects of traditional methods, XFEM introduced level set function method to describe crack shape so as to realize initiation and development of crack in the inner unit. The problem of crack propagation simulation in traditional method relying on the life and death of element was then solved. Crack problem of a finite flat which was in the classical solution of the elasticity was simulated by ABAQUS using the XFEM method. The validity of the XFEM method was proved. At the same time, the crack propagation in three point bending beam was simulated. The results show that the extended finite element method can effectively simulate the process of the cracking; simulation of the crack propagation is realistic is free from the constraints of the cell boundary and will not increase the elements. The amount of elements is effectively reduced. The cost of computing is decreased and convenient way is provided to solve real complex problems. 2 tabs, 9 figs, 11 refs.

References:

[1] Zienkiewicz O C,Taylor R L.The finite element method(fifth edition)[M].Beijing:Tsinghua University Press,2006.
[2]庄 茁,柳占立,成彬彬,等.扩展有限单元法[M]. 北京:清华大学出版社,2012. ZHUANG Zhuo,LIU Zhan-li,CHENG Bing-bing,et al.Extend finite element method[M].Beijing:Tsinghua University Press,2012.(in Chinese)
[3]Sukumar N,Chopp D L,Moёs N,et al.Modeling holes and inclusions by level sets in the extended finite-element method[J].Computer Methods in Applied Mechanics and Engineering,2001,190(46/47):6183-6200.
[4]Daux C,Moёs N,Dolbow S,et al.Arbitrary branched and intersecting cracks with the extended finite element method[J].International Journal for Numerical Methods in Engineering,2000(48):1741-1760.
[5]Duan Q,Song J H,Menouillard T,et al.Element-local level set method for three-dimensional dynamic crack growth[J].International Journal for Numerical Methods in Engineering,2009,80(12):1520-1543.
[6]Giner E,Sukumar N,Tarancon J E,et al.An Abaqus implementation of the extended finite element method[J].Engineering Fracture Mechanics,2009,76(3):347-368.
[7]徐芝纶.弹性力学[M].北京:高等教育出版社,2006. XU Zhi-lun.Easticity[M].Beijing:Higher Education Press,2006.(in Chinese)
[8]Ribeaucourt R,Baietto-Dubourg M C,Grarouil A.A new fatigue frictional contact crack propagation modle with the coupled X-FEM/LATIN method[J].Computer Methond in Applied Mechanics and Engineering,2007,196(33-34):3230-3247.
[9] Mescbke G,Dumstorff P.Energy-based modeling of cohesive and cohesionless cracks via XFEM[J].Computer Methond in Applied Mechanics and Engineering,2007,196(21-24):2338-2357.
[10]Tada H,Paris P C,Irwin G R.The stress analysis of cracks handbook(third edition)[M].Newyork:ASME Press,1985.
[11]方修君,金 峰.基于ABAQUS平台的扩展有限元法[J].工程力学,2007,24(7):6-10. FANG Xiu-jun,JIN Feng.Extended finite element method based on ABAQUS[J].Engineering Mechanics,2007,24(7):6-10.(in Chinese)

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Last Update: 2013-04-20