Title | Overcoming volumetric locking in stable node-based smoothed particle finite element method with cubic bubble function and selective integration |
Author | |
Corresponding Author | Jin, 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 | |
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 Type | Journal Article |
Identifier | http://kc.sustech.edu.cn/handle/2SGJ60CL/395981 |
Department | Department 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 Affilication | Department 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).
|
Files in This Item: | There are no files associated with this item. |
|
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment