Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7169111 | Engineering Fracture Mechanics | 2018 | 25 Pages |
Abstract
In the numerical manifold method (NMM), the mathematical patches composing the mathematical cover can take on any shape in addition to finite elements. In this study, the influence domains of those scattered nodes in the moving least squares (MLS) approximation serve as the mathematical patches. And accordingly, the MLS based NMM, designated by MLS-NMM, is derived, which owns the advantages of both NMM and MLS. Then, MLS-NMM is applied to analyze cracked bodies under dynamic loading, and a mass lumping scheme fit for MLS-NMM is proposed. The dynamic analyses of some typical cracked bodies are carried out, indicating MLS-NMM equipped with the proposed mass lumping scheme has more excellent numerical properties than that with the consistent mass formulation in the analysis of the time domain as well as the frequency domain.
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Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
Wei Li, Hong Zheng, Guanhua Sun,