Application of the smoothed point interpolation methods in computational geomechanics: A comparative study

Khoshghalb, Arman; Shafee, Ashkan; Tootoonchi, Arash; Ghaffaripour, Omid; Jazaeri, S.

doi:10.1016/j.compgeo.2020.103714

Cited by 20 publications

(4 citation statements)

References 29 publications

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“…where ε𝑘 is the constant smoothed strain over the 𝑘th partial nodal smoothing domain, 𝐴 𝑆𝐷 𝑘 is the area of the 𝑘th partial nodal smoothing domain, Γ SD 𝑘 is the boundary of the 𝑘th partial smoothing domain, and 𝑳 𝑛 is the matrix of unit outward normal vector defined in Equation ( 8) with 𝑛 1 and 𝑛 2 being the unit outward vector normal to the boundary of the partial smoothing domain at each point of interest. From Equation (22), the smoothed strain for the 𝑘th partial smoothing domain can be obtained as,…”

Section: Construction Of the Stiffness And Permeability Matrices In P...mentioning

confidence: 99%

“…Material nonlinearity in the governing equations is tackled by adopting a modified Newton-Raphson iterative process. The overall framework of this numerical scheme has been detailed in the previous publications by the authors (e.g., 2,[17][18][19][20][21][22] ) and elsewhere (e.g., 23 ), hence it is not reproduced here for the brevity. In the following section, we only focus on those aspects of the formulation that are new to the proposed PNS-FEM.…”

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confidence: 99%

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Augmenting low‐order finite element method with partial nodal strain smoothing for flow‐deformation analysis of geomechanical problems

Shafee

Khoshghalb

2022

Num Anal Meth Geomechanics

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In this study, the application of a numerical technique referred to as partial node-based smoothed finite element method (PNS-FEM) in flow-deformation analysis of problems in geomechanics is presented. The PNS-FEM is developed by augmenting the computation of the stiffness and permeability matrices of the domain in the linear finite element method (FEM) with partial nodal strain smoothing. The PNS-FEM takes advantage of contradicting errors of the solutions of the linear FEM and the node-based smooth point interpolation method (NSPIM) to yield close-to-exact solutions. The formulation of the PNS-FEM and the steps required to develop a PNS-FEM code from an FEM code are thoroughly presented. The performance of the PNS-FEM is then examined through five numerical examples concerning linear and nonlinear porous materials undergoing various types of loading. The results show that partial nodal smoothing is a very simple, yet effective, technique to considerably improve the performance of the linear FEM in coupled problems of geomechanics.

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Section: Construction Of the Stiffness And Permeability Matrices In P...mentioning

confidence: 99%

mentioning

confidence: 99%

Augmenting low‐order finite element method with partial nodal strain smoothing for flow‐deformation analysis of geomechanical problems

Shafee

Khoshghalb

2022

Num Anal Meth Geomechanics

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“…Currently, only several scholars used SPIMs to investigate the deformation behavior of geological bodies. For example, Khoshghalb conducted a comparative study of the coupled problems of geomechanics based on cell-based SPIM, node-based SPIM, and edge-based SPIM (Khoshghalb et al ., 2020). Khoshghalb and Tootoonchi investigated the deformation characteristics of saturated porous media using node-based SPIM (Khoshghalb and Shafee, 2021) and cell-based SPIM (Tootoonchi et al ., 2016).…”

Section: Introductionmentioning

confidence: 99%

Designing an efficient smoothed point interpolation method for modeling slope deformation

Qin

Mei

2023

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PurposeIn this paper, the smoothed point interpolation method (SPIM) is used to model the slope deformation. However, the computational efficiency of SPIM is not satisfying when modeling the large-scale nonlinear deformation problems of geological bodies.Design/methodology/approachIn this paper, the SPIM is used to model the slope deformation. However, the computational efficiency of SPIM is not satisfying when modeling the large-scale nonlinear deformation problems of geological bodies.FindingsA simple slope model with different mesh sizes is used to verify the performance of the efficient face-based SPIM. The first accelerating strategy greatly enhances the computational efficiency of solving the large-scale slope deformation. The second accelerating strategy effectively improves the convergence of nonlinear behavior that occurred in the slope deformation.Originality/valueThe designed efficient face-based SPIM can enhance the computational efficiency when analyzing large-scale nonlinear slope deformation problems, which can help to predict and prevent potential geological hazards.

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“…In general, soil liquefaction resistance is affected by factors, such as soil type, fine content, grain characteristics, degree of saturation, relative density (void ratio), confining stress, cyclic loading frequency, and earthquake magnitude [2][3][4][5][6][7][8][9][10][11][12][13][14]. Recently, the soil liquefaction and the interaction between soil skeletion and pore fluid have been evaluated by using numerical modelling [15][16][17][18][19][20]. The liquefaction resistance is often accessed in terms of the cyclic stress ratio (CSR), which is the ratio of cyclic shear stress (c) to the effective consolidation pressure (c).…”

Section: Introductionmentioning

confidence: 99%

Effect of Cyclic Stress Ratio on the Liquefaction Resistance of Fine Sand in Soc Trang, Vietnam Using Cyclic Triaxial Test

Phong¹

2023

GEOMATE

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In the literature, the effect of different factors on the liquefaction resistance of sand has been widely investigated using the cyclic simple shear test or cyclic triaxial test. In which, the effect of CSR on liquefaction resistance significantly depends on the type of sand. In Vietnam, the sandy soils are widely distributed in coastal areas where many wind power farms are built and planned to build. Thus, the liquefaction resistance of sandy soil in these areas should be evaluated. In this study, the effect of cyclic stress ratio (CSR) on the liquefaction resistance of sand distributed in the coastal area of Soc Trang province, Vietnam will be evaluated for the first time using cyclic triaxial apparatus (Wykeham Farrance). The sand samples were prepared using the dry pluviation method with a relative density of about 56%. The stress-controlled method with CSR from approximately 0.1 to 0.35, the effective confining stress of 50 kPa, and the frequency of 1 Hz were applied. The research results showed that the axial strain and build-up of pore water pressure significantly depended on the range of CSR. In particular, this research has indicated the threshold of CSR for the liquefaction of sandy soil in this study area. Accordingly, under the testing conditions, sand samples were not liquefied with a CSR of less than 0.25.

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Application of the smoothed point interpolation methods in computational geomechanics: A comparative study

Cited by 20 publications

References 29 publications

Augmenting low‐order finite element method with partial nodal strain smoothing for flow‐deformation analysis of geomechanical problems

Augmenting low‐order finite element method with partial nodal strain smoothing for flow‐deformation analysis of geomechanical problems

Designing an efficient smoothed point interpolation method for modeling slope deformation

Effect of Cyclic Stress Ratio on the Liquefaction Resistance of Fine Sand in Soc Trang, Vietnam Using Cyclic Triaxial Test

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