Rock and Soil Mechanics ›› 2020, Vol. 41 ›› Issue (4): 1429-1436.doi: 10.16285/j.rsm.2019.6028

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The numerical manifold method for boundary integrals in elastostatics

NIE Zhi-bao, ZHENG Hong, WAN Tao, LIN Shan   

  1. Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education, Beijing University of Technology, Beijing 100124, China
  • Online:2020-04-27 Published:2020-09-27
  • About author:NIE Zhi-bao, male, born in 1992, PhD candidate, specializing in computational geomechanics.
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (51538001, 11572009).

Abstract: The traditional numerical manifold method (NMM) adopts the form of regional integration. This paper proposed a new NMM in the form of boundary integral by integrating the advantages of both the boundary element method (BEM) and the NMM, namely the dimension reduction of BEM and the flexibility of local base selection of NMM. For two-dimensional elastostatics problems, three different benchmark examples with analytical solutions are applied to verify the validity and efficiency of the newly proposed NMM. The results show that the accuracy of the proposed procedure can be effectively improved by increasing the order of the local basis.

Key words: numerical manifold method, boundary element method, elastostatics problem, stress intensity factor