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| Application of the MLS based enriched numerical manifold method in dynamic crack propagation |
| LI Wei1，2，ZHENG Hong1，2，3，CHEN Yuanqiang1，2，LIN Shan1，2，SUN Yinghao1，2 |
(1. State Key Laboratory of Geomechanics and Geotechnical Engineering，Institute of Rock and Soil Mechanics，Chinese
Academy of Sciences，Wuhan，Hubei 430071，China；2. University of Chinese Academy of Sciences，Beijing 100049，
China；3. College of Architecture and Civil Engineering，Beijing University of Technology，Beijing 100124，China) |
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Abstract Adopting two cover systems including mathematical and physical covers，numerical manifold method can resolve the problems relating to cracks naturally. In order to apply the moving least square interpolation based numerical manifold method(MLS-NMM) in the dynamic crack propagation，a program which simulates the dynamic crack propagation by using MLS-NMM is developed. In the program，the Bathe implicit time integration scheme is utilized to improve the accuracy of time discretization，a new strategy for the inheritance of degrees of freedom is proposed to deal with the energy inconsistency in dynamic crack propagation，and the criterion of fracture mechanics is employed to predict the path of crack propagation. Through the solution of some typical problems of dynamic crack propagation，it is demonstrated that the proposed procedure simulates the dynamic crack propagation precisely.
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2018, Vol. 37 
