Abstract
The three-dimensional numerical manifold method(NMM) is studied on the basis of two-dimensional numerical manifold method. The three-dimensional cover displacement function is studied. The mechanical analysis and Hammer integral method of three-dimensional numerical manifold method are put forward. The stiffness matrix of three-dimensional manifold element is derived and the dissection rules are given. The theoretical system and the numerical realizing method of three-dimensional numerical manifold method are systematically studied. As an example, the cantilever with load on the end is calculated, and the results show that the precision and efficiency are agreeable.
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Contributed by ZHANG Xiang-wei
Project supported by the National Natural Science Foundation of China (No. 10272033)
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Shao-ming, L., Xiang-wei, Z., Wen-ge, L. et al. Theoretical study of three-dimensional numerical manifold method. Appl Math Mech 26, 1126–1131 (2005). https://doi.org/10.1007/BF02507721
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DOI: https://doi.org/10.1007/BF02507721