The numerical manifold method for boundary integrals in elastostatics

Authors

Zhi-bao NIE
Hong ZHENG
Tao WAN
Shan LIN

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.

Recommended Citation

NIE, Zhi-bao; ZHENG, Hong; WAN, Tao; and LIN, Shan (2020) "The numerical manifold method for boundary integrals in elastostatics," Rock and Soil Mechanics: Vol. 41: Iss. 4, Article 11.
DOI: 10.16285/j.rsm.2019.6028
Available at: https://rocksoilmech.researchcommons.org/journal/vol41/iss4/11