A MLS-based numerical manifold method for multiple cracks propagation

被引：0
|
作者：
Liu F. [1 ]
Zheng H. [1 ]
Xia K. [2 ]
机构：
[1] State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan, 430071, Hubei
[2] School of Civil Engineering, Tianjin University, Tianjin
来源：
Yanshilixue Yu Gongcheng Xuebao/Chinese Journal of Rock Mechanics and Engineering | 2016年 / 35卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Crack propagation; Fracture toughness; Moving least square interpolation (MLS); Multiple cracks; Numerical analysis; Numerical manifold method;
D O I：
10.13722/j.cnki.jrme.2014.1512
中图分类号：
学科分类号：
摘要：
The full response of a brittle structure containing multiple cracks under the servo loading condition is of vital importance in the evaluation of properties of the structure. Due to the mathematical covers and physical covers, numerical manifold method is able to simulate the initiation and growth of multiple cracks in a natural way. In order to handle the junction of cracks more straightly, the MLS-based numerical manifold method was used, and the physical patches containing crack tips were enriched to describe the singularity. During the crack growth, crack tips can be located anywhere in the background meshes. Several numerical issues encountered in the simulation were discussed and solved. Besides, a simple algorithm for multiple crack propagation was presented to satisfy the fracture toughness closely. Several numerical examples are illustrated to demonstrate the efficiency and robustness of the proposed method in the simulation of multiple crack propagation. © 2016, Science Press. All right reserved.
引用
下载
收藏
页码：76 / 86
页数：10
相关论文
共 41 条
  • [1] Bouchard P., Bay F., Chastel Y., Et al., Crack propagation modelling using an advanced remeshing technique, Computer Methods in Applied Mechanics and Engineering, 189, 3, pp. 723-742, (2000)
  • [2] Bouchard P., Bay F., Chastel Y., Numerical modelling of crack propagation: automatic remeshing and comparison of different criteria, Computer Methods in Applied Mechanics and Engineering, 192, 35-36, pp. 3887-3908, (2003)
  • [3] Moes N., Dolbow J., Belytschko T., A finite element method for crack growth without remeshing, International Journal for Numerical Methods in Engineering, 46, 1, pp. 131-150, (1999)
  • [4] Belytschko T., Black T., Elastic crack growth in finite elements with minimal remeshing, International Journal for Numerical Methods in Engineering, 45, 5, pp. 601-620, (1999)
  • [5] Fleming M., Chu Y., Moran B., Et al., Enriched element-free Galerkin methods for crack tip fields, International Journal for Numerical Methods in Engineering, 40, 8, pp. 1483-1504, (1997)
  • [6] Ventura G., Xu J., Belytschko T., A vector level set method and new discontinuity approximations for crack growth by EFG, International Journal for Numerical Methods in Engineering, 54, 6, pp. 923-944, (2002)
  • [7] Cai Y., Zhu H., Simulation of crack growth by the MSLS method, Engineering Mechanics, 7, pp. 21-26, (2010)
  • [8] Belytschko T., Lu Y.Y., Gu L., Element-free Galerkin methods, International Journal for Numerical Methods in Engineering, 37, 2, pp. 229-256, (1994)
  • [9] Shi G.H., Manifold method of material analysis, Transactions of 9th Army Conference on Applied Mathematics and Computing, pp. 57-76, (1991)
  • [10] Wang S., Ge X., Application of manifold method in simulating crack propagation, Chinese Journal of Rock Mechanics and Engineering, 16, 5, pp. 405-410, (1997)
12345