中文版 | English
Title

Overcoming volumetric locking in stable node-based smoothed particle finite element method with cubic bubble function and selective integration

Author
Corresponding AuthorJin, Yin-Fu; Yin, Zhen-Yu
Publication Years
2022-09-01
DOI
Source Title
ISSN
0029-5981
EISSN
1097-0207
Abstract
The stable node-based smoothed particle finite element method (SNS-PFEM) reduces spatial numerical oscillation from direct nodal integration in NS-PFEM but leads to a severe volumetric locking effect when modeling nearly incompressible materials-related boundary value problems. This study proposes an improved locking-free SNS-PFEM to investigate the performance of the bubble function and selective integration scheme in circumventing volumetric locking. Three locking-free variants of SNS-PFEM: (1) SNS-PFEM with a cubic bubble function (bSNS-PFEM), (2) SNS-PFEM with a selective integration scheme (selective SNS-PFEM), and (3) SNS-PFEM with a cubic bubble function and selective integration scheme (selective bSNS-PFEM)-were gradually developed for comparison. The performance of these three approaches was first successively examined using two examples with elastic materials, that is, an infinite plate with a circular hole and Cook's membrane. The comparisons show that the cubic bubble function and selective integration scheme are both necessary as a locking-free approach for modeling nearly incompressible materials, and the proposed selective bSNS-PFEM performs best among the three variants in terms of accuracy and convergence. Two examples of slope stability analysis and footing penetration on elastoplastic materials were then conducted by SNS-PFEM and the proposed selective bSNS-PFEM. The results indicate that the proposed selective bSNS-PFEM is stable and accurate, even when accompanied by significant deformation. All obtained results indicate that the locking-free selective bSNS-PFEM is a powerful approach for modeling nearly incompressible materials with both material and geometric nonlinearity.
Keywords
URL[Source Record]
Indexed By
SCI ; EI
Language
English
SUSTech Authorship
Others
Funding Project
Research Grants Council (RGC) of Hong Kong Special Administrative Region Government (HKSARG) of China[R5037-18F] ; Project of Research Institute of Land and Space[CD78] ; Hong Kong Polytechnic University Strategic Importance Fund[ZE2T]
WOS Research Area
Engineering ; Mathematics
WOS Subject
Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
WOS Accession No
WOS:000850125700001
Publisher
EI Accession Number
20223712727082
EI Keywords
Elastoplasticity ; Finite element method ; Integral equations ; Integration ; Locks (fasteners) ; Numerical methods ; Slope stability
ESI Classification Code
Roads and Streets:406.2 ; Calculus:921.2 ; Numerical Methods:921.6
ESI Research Field
ENGINEERING
Data Source
Web of Science
Citation statistics
Cited Times [WOS]:2
Document TypeJournal Article
Identifierhttp://kc.sustech.edu.cn/handle/2SGJ60CL/395981
DepartmentDepartment of Ocean Science and Engineering
Affiliation
1.Shenzhen Univ, Coll Civil & Transportat Engn, Shenzhen 518060, Guangdong, Peoples R China
2.Hong Kong Polytech Univ, Dept Civil & Environm Engn, Kowloon, Peoples R China
3.Southern Univ Sci & Technol, Dept Ocean Sci & Engn, Shenzhen, Peoples R China
First Author AffilicationDepartment of Ocean Science and Engineering
Recommended Citation
GB/T 7714
Wang, Ze-Yu,Jin, Yin-Fu,Yin, Zhen-Yu,et al. Overcoming volumetric locking in stable node-based smoothed particle finite element method with cubic bubble function and selective integration[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING,2022.
APA
Wang, Ze-Yu,Jin, Yin-Fu,Yin, Zhen-Yu,&Wang, Yu-Ze.(2022).Overcoming volumetric locking in stable node-based smoothed particle finite element method with cubic bubble function and selective integration.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING.
MLA
Wang, Ze-Yu,et al."Overcoming volumetric locking in stable node-based smoothed particle finite element method with cubic bubble function and selective integration".INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2022).
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