Stabilized smoothed particle finite element method for coupled large deformation problems in geotechnics

Smoothed particle finite element method has been gaining recognition as an appropriate approach for large deformation problems in geotechnics. This paper presents formulations for coupled large deformation problems in geotechnics within the framework of SPFEM. Emphasis is put on the incompressibilit...

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Vydané v:Acta geotechnica Ročník 18; číslo 3; s. 1215 - 1231
Hlavní autori: Yuan, Wei-Hai, Liu, Ming, Zhang, Xian-Wei, Wang, Hui-Lin, Zhang, Wei, Wu, Wei
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2023
Springer Nature B.V
Predmet:
Civil engineering
Complex Fluids and Microfluidics
Deformation
Engineering
Finite element analysis
Finite element method
Fluid pressure
Fluid-structure interaction
Foundations
Geoengineering
Geotechnical engineering
Geotechnical Engineering & Applied Earth Sciences
Geotechnology
Hydraulics
Hydrostatic pressure
Incompressibility
Mathematical analysis
Methods
Oscillations
Polynomials
Pore pressure
Pore water
Pore water pressure
Pressure field
Research Paper
Soft and Granular Matter
Soil Science & Conservation
Solid Mechanics
Water pressure
Polynomial Pressure Projection
Consolidation
Smoothed Particle Finite Element Method
Couple
Stabilized methods
Large deformation
ISSN:1861-1125, 1861-1133
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Shrnutí:Smoothed particle finite element method has been gaining recognition as an appropriate approach for large deformation problems in geotechnics. This paper presents formulations for coupled large deformation problems in geotechnics within the framework of SPFEM. Emphasis is put on the incompressibility associated with the undrained limit. To stabilize the pore water pressure field, the polynomial pressure projection (PPP) formulations for SPFEM are derived. The accuracy and effectiveness of the present formulations are verified against several benchmark consolidation problems. Results show that spurious oscillations associated with the utilization of equal-order interpolants for both the solid displacement and the fluid pressure can be effectively avoided. The coupled SPFEM with PPP provides a stable and efficient numerical tool in solving coupled large deformation problems in geotechnics.
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ISSN:1861-1125
1861-1133
DOI:10.1007/s11440-022-01691-6