›› 2016, Vol. 37 ›› Issue (10): 3017-3025.doi: 10.16285/j.rsm.2016.10.037

• Numerical Analysis • Previous Articles     Next Articles

Application of three-dimensional numerical manifold method to crack propagation

YANG Shi-kou, ZHANG Ji-xun, REN Xu-hua, ZHANG Dao-fa   

  1. College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing, Jiangsu 210098, China
  • Received:2015-01-26 Online:2016-10-11 Published:2018-06-09
  • Supported by:

    This work was supported by the National Key Technology Research and Development Program of China (2012BAK03B04) and the National Natural Science Foundation for young scholar of China(51209078).

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Abstract: The three-dimensional crack propagation is analyzed by the three-dimensional numerical manifold method (3D NMM) and the corresponding program with C++ is established. By taking the advantages of 3D NMM in crack propagation, only crack shells and manifold elements are required to be updated without the use of Heaviside function. According to the stress obtained from 3D NMM, the nonlocal crack tracing method is used to analyze the failure state of every crack tip. If failure occurs, the crack propagates along the direction perpendicular to the maximum principal stress. Quadrilateral or triangle tracing method is selected according to the situation during propagation. In order to make the deformed surface remain plane, triangulation of new generated face is needed. The edge crack, horizontal penny-shaped crack and inclined penny-shaped crack are simulated. It is feasible that simulating crack propagation with 3D NMM. Furthermore, the proposed method is suitable for cases of nonclosed and closed crack tip line and is also effective for the nonplanar 3D crack growth where the crack tip line is located in an element.

Key words: three-dimensional numerical manifold method, mathematical cover, physical cover, crack propagation, nonplanar 3D crack

CLC Number: 

  • O 346.1

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