A novel improved domain material point method for the cell-crossing instability problem
文献类型:期刊论文
作者 | Zhang, Wei1,2; Yan, Fei1,2; Wang, Zhao-Feng1,2 |
刊名 | ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
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出版日期 | 2024-09-01 |
卷号 | 166页码:21 |
关键词 | Material point method Cell-crossing instability Large-deformation Improved domain material point method |
ISSN号 | 0955-7997 |
DOI | 10.1016/j.enganabound.2024.105865 |
英文摘要 | This paper introduces an improved domain material point method (IDMPM) by scrutinizing the integration error of internal forces and considering the algorithmic properties of the standard material point method (MPM). The traditional uniform shape function is enhanced by designing internal and boundary elements separately, thus providing a distinct expression with an influence domain within the interval [1.0, 2.0]. In this method, the peak value of the form function is located at the grid node, and the expression of the form function is provided for the boundary element. This approach can help avoid the mass and momentum nonconservation issues of Generalized Interpolation Material Point Method (GIMP) and B-spline Material Point Method (BSMPM). Expressing the form function in polynomial form can significantly enhance the computational efficiency of the program. The IDMPM is appraised through a series of numerical examples that address small elastic deformations, dynamic large deformations, and extremely large deformations under diverse dimensions and boundary conditions. The outcomes demonstrate that the IDMPM outperforms the standard MPM in terms of accuracy, convergence speed, and energy conservation properties. Notably, when compared with the B-spline material point method (BSMPM), IDMPM demonstrates superior calculation accuracy and efficiency due to the boundary element shape functions employed. |
资助项目 | National Natural Science Foundation of China[51879261] |
WOS研究方向 | Engineering ; Mathematics |
语种 | 英语 |
WOS记录号 | WOS:001267796300001 |
出版者 | ELSEVIER SCI LTD |
源URL | [http://119.78.100.198/handle/2S6PX9GI/41915] ![]() |
专题 | 中科院武汉岩土力学所 |
通讯作者 | Yan, Fei |
作者单位 | 1.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn, Wuhan 430071, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China |
推荐引用方式 GB/T 7714 | Zhang, Wei,Yan, Fei,Wang, Zhao-Feng. A novel improved domain material point method for the cell-crossing instability problem[J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,2024,166:21. |
APA | Zhang, Wei,Yan, Fei,&Wang, Zhao-Feng.(2024).A novel improved domain material point method for the cell-crossing instability problem.ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,166,21. |
MLA | Zhang, Wei,et al."A novel improved domain material point method for the cell-crossing instability problem".ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS 166(2024):21. |
入库方式: OAI收割
来源:武汉岩土力学研究所
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