Meshless Generalized Finite Difference Method Based on Nonlocal Differential Operators for Numerical Simulation of Elastostatics
文献类型：期刊论文
| 作者 | Zhou, Yeying2,3; Li, Chunguang3; Zhuang, Xinshan2; Wang, Zhifen1 |
| 刊名 | MATHEMATICS
 |
| 出版日期 | 2024-05-01 |
| 卷号 | 12期号:9页码:20 |
| 关键词 | nonlocal differential operator generalized finite difference method elastostatics numerical simulation computational efficiency robustness |
| DOI | 10.3390/math12091316 |
| 英文摘要 | This study proposes an innovative meshless approach that merges the peridynamic differential operator (PDDO) with the generalized finite difference method (GFDM). Based on the PDDO theory, this method introduces a new nonlocal differential operator that aims to reduce the pre-assumption required for the PDDO method and simplify the calculation process. By discretizing through the particle approximation method, this technique proficiently preserves the PDDO's nonlocal features, enhancing the numerical simulation's flexibility and usability. Through the numerical simulation of classical elastic static problems, this article focuses on the evaluation of the calculation accuracy, calculation efficiency, robustness, and convergence of the method. This method is significantly stronger than the finite element method in many performance indicators. In fact, this study demonstrates the practicability and superiority of the proposed method in the field of elastic statics and provides a new approach to more complex problems. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:001219928100001 |
| 出版者 | MDPI |
| 源URL | [http://119.78.100.198/handle/2S6PX9GI/41276]  |
| 专题 | 中科院武汉岩土力学所 |
| 通讯作者 | Li, Chunguang |
| 作者单位 | 1.Beijing Municipal Construct Grp Co Ltd, Beijing 100048, Peoples R China 2.Hubei Univ Technol, Sch Civil Engn Architecture & Environm, Wuhan 430068, Peoples R China 3.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn, Wuhan 430071, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhou, Yeying,Li, Chunguang,Zhuang, Xinshan,et al. Meshless Generalized Finite Difference Method Based on Nonlocal Differential Operators for Numerical Simulation of Elastostatics[J]. MATHEMATICS,2024,12(9):20. |
| APA | Zhou, Yeying,Li, Chunguang,Zhuang, Xinshan,&Wang, Zhifen.(2024).Meshless Generalized Finite Difference Method Based on Nonlocal Differential Operators for Numerical Simulation of Elastostatics.MATHEMATICS,12(9),20. |
| MLA | Zhou, Yeying,et al."Meshless Generalized Finite Difference Method Based on Nonlocal Differential Operators for Numerical Simulation of Elastostatics".MATHEMATICS 12.9(2024):20. |
入库方式： OAI收割
来源：武汉岩土力学研究所
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