Theoretical study of three-dimensional numerical manifold method. (English) Zbl 1144.74378
Summary: 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.
MSC:
| 74S05 | Finite element methods applied to problems in solid mechanics |
References:
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