中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
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
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
DOI10.1016/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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