Coupled finite-discrete element modeling and potential applications in civil engineering

Kiên, Nguyễn Trung; Vo, Tam; Hoang, Nguyen Nhu

doi:10.31814/stce.huce(nuce)2021-15(4)-10

Cited by 4 publications

(4 citation statements)

References 28 publications

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“…One of the ways to express an uncertain measurement is to use the interval quantities, such as [a; b] where a is the lower bound of the quantity and b is its upper bound. With this way of notation, one can conduct interval finite element analysis to have the structural responses [15]. However, for the convenience of this research, according to [16], an uncertain measurement z can be expressed in two parts: the nominal value z and the uncertainty.…”

Section: Brief Theory Of Uncertainty Propagationmentioning

confidence: 99%

Determination of influence lines for structural responses with uncertainties in properties of the structure

Nguyen,

Nguyen

2023

JSTCE

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Classical ways of determination of influence lines for structural responses are often inefficient due to high computational cost, especially if properties of the structure are uncertain. The combination of Muller-Breslau principle and the finite element analysis can resolve this problem. In this study, formulations for new finite elements tailored for use in determination of influence lines for structural responses are proposed. They are then used in the problem of uncertainty propagation to obtain uncertain ordinates of the influence lines. The expressions for the element stiffness matrix and equivalent nodal load vector are derived consistently from the proposed displacement field of the element. The proposed finite elements can be adapted directly in existing finite element packages since they do not need remeshing. Studied examples show the correctness and the efficiency of the proposed method. From the results of uncertainty propagation problem, large uncertainties in the ordinates of influence lines for structural responses due to small uncertainties in structural properties should be aware of.

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Section: Brief Theory Of Uncertainty Propagationmentioning

confidence: 99%

Determination of influence lines for structural responses with uncertainties in properties of the structure

Nguyen,

Nguyen

2023

JSTCE

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“…The resolution of this optimization and finite element [31] problems have mainly been discussed in the past and was effectively executed in some software packages. The DACE toolbox [31] in MAT-LAB is chosen to develop our Kriging metamodeling in the current study.…”

Section: A Brief Review Of Reliability Analysis Based On Kriging Meta...mentioning

confidence: 99%

Modified AK-MCS method and its application on the reliability analysis of underground structures in the rock mass

Tran¹,

Hoxha

et al. 2022

STCE

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This work aims at proposing the methodology on the basis of the extension of the famous reliability analysis, joining the Kriging and Monte Carlo Simulation (AK-MCS) metamodeling technique for analyzing the long-term stability of deep tunnel support constituted by two layers (a concrete liner covered with a compressible layer). A novel active learning function for selecting new training points enriches the Design of Experiment (DoE) of the built surrogate. This novel learning function, combined with an appropriate stopping criterion, improves the original AK-MCS method and significantly reduces the number of calls to the performance function. The efficiency of this modified AK-MCS method is demonstrated through two examples (a well-known academic problem and the case of a deep tunnel dug in the rock working viscoelastic Burgers model). In these examples, we illustrate the accuracy and performance of our method by comparing it with direct MCS and well-known Kriging metamodels (i.e., the classical AK-MCS and EGRA methods).

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“…Modeling the behavior of granular materials is to reflect their physical and mechanical characteristics in an overall response. Several approaches have been proposed in the literature for this purpose, including the Finite Element Method (FEM), Discrete Element Method (DEM), Smoothed-particle hydrodynamics (SPH), or coupling with other methods [8][9][10][11][12][13]. Since its first application in the 1970s, DEM has become a powerful tool for investigating the behavior of granular materials, mainly due to its ability to represent their discrete nature.…”

Section: Introductionmentioning

confidence: 99%

Effects of intergranular friction and grain size distributions on the initial void ratio of granular sample

Nguyen

2023

STCE

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This paper investigates the influence of intergranular friction and grain size distributions on the initial void ratio of a granular sample subjected to isotropic compression loading. In the field of geomechanics, besides the loading path and evolution of microscopic properties, the initial void ratio is a crucial and key factor that governs the mechanical behavior of geomaterials. By using Discrete Element Model (DEM) performed on an idealized 2D assembly of disks, this study demonstrates that the initial void ratio can be affected by several parameters during isotropic compression stage. By varying a wide range of intergranular coefficients of friction and grain size distributions, our numerical results suggest that increasing the intergranular coefficient of friction during the isotropic compression phase leads to looser samples. Furthermore, when the diversity of grain sizes is rich, smaller grains can move and occupy voids, thereby increasing the density of the granular sample. A power-lawrelationship is then proposed that connects the minimum void ratio and the diversity degree of the sample.

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Coupled finite-discrete element modeling and potential applications in civil engineering

Cited by 4 publications

References 28 publications

Determination of influence lines for structural responses with uncertainties in properties of the structure

Determination of influence lines for structural responses with uncertainties in properties of the structure

Modified AK-MCS method and its application on the reliability analysis of underground structures in the rock mass

Effects of intergranular friction and grain size distributions on the initial void ratio of granular sample

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