The moving least squares based numerical manifold method for vibration and impact analysis of cracked bodies | |
Li, Wei1,3; Zheng, Hong2; Sun, Guanhua1,3 | |
刊名 | ENGINEERING FRACTURE MECHANICS
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2018 | |
卷号 | 190页码:410-434 |
关键词 | Moving least squares interpolation Numerical manifold method Dynamic fracture mechanics Dynamic stress intensity factor Mass lumping |
ISSN号 | 0013-7944 |
DOI | 10.1016/j.engfracmech.2017.12.025 |
英文摘要 | 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. (C) 2017 Elsevier Ltd. All rights reserved. |
WOS研究方向 | Mechanics |
语种 | 英语 |
出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
WOS记录号 | WOS:000425221700027 |
内容类型 | 期刊论文 |
源URL | [http://119.78.100.198/handle/2S6PX9GI/4230] ![]() |
专题 | 岩土力学所知识全产出_期刊论文 国家重点实验室知识产出_期刊论文 |
作者单位 | 1.Univ Chinese Acad Sci 2.Beijing Univ Technol, Minist Educ, Key Lab Urban Secur & Disaster Engn ; 3.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotechn Engn ; |
推荐引用方式 GB/T 7714 | Li, Wei,Zheng, Hong,Sun, Guanhua. The moving least squares based numerical manifold method for vibration and impact analysis of cracked bodies[J]. ENGINEERING FRACTURE MECHANICS,2018,190:410-434. |
APA | Li, Wei,Zheng, Hong,&Sun, Guanhua.(2018).The moving least squares based numerical manifold method for vibration and impact analysis of cracked bodies.ENGINEERING FRACTURE MECHANICS,190,410-434. |
MLA | Li, Wei,et al."The moving least squares based numerical manifold method for vibration and impact analysis of cracked bodies".ENGINEERING FRACTURE MECHANICS 190(2018):410-434. |
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