• 제목/요약/키워드: Discrete Element Method

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불연속체 해석을 이용한 Back-to-Back 보강토 옹벽의 파괴 메커니즘에 관한 연구 (Investigation on Failure Mechanism of Back-to-Back Geosynthethic Reinforced Wall Using Discrete Element Analysis)

  • 유충식;우승제;전훈민;신부남
    • 한국지반신소재학회논문집
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    • 제10권2호
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    • pp.55-66
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    • 2011
  • 본 논문에서는 Back-to-Back(BTB) 보강토 옹벽의 파괴메커니즘에 관한 연구내용을 다루었다. 이를 위해 모형실험과 불연속체 해석(Discrete Element Method, DEM)을 도입한 수치해석을 수행하였다. 먼저 축소모형실험에서는 일반적으로 시공되는 Back-to-Back 보강토 옹벽을 1/10로 축소하여 1-g 모델을 구축한 후 자중만으로 파괴에 도달하도록 하였으며 보강재의 길이변화에 따른 파괴 메커니즘을 고찰하였다. 아울러 모형실험 결과를 토대로 검증된 DEM 해석모델을 이용하여 다양한 시공조건에 대한 해석을 수행하여 BTB 옹벽의 폭 및 보강재 길이에 따른 파괴 메커니즘을 고찰하고 그 결과를 현재 적용되는 FHWA 설계기준과 비교하였다.

OPTIMAL L2-ERROR ESTIMATES FOR EXPANDED MIXED FINITE ELEMENT METHODS OF SEMILINEAR SOBOLEV EQUATIONS

  • Ohm, Mi Ray;Lee, Hyun Young;Shin, Jun Yong
    • 대한수학회지
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    • 제51권3호
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    • pp.545-565
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    • 2014
  • In this paper we derive a priori $L^{\infty}(L^2)$ error estimates for expanded mixed finite element formulations of semilinear Sobolev equations. This formulation expands the standard mixed formulation in the sense that three variables, the scalar unknown, the gradient and the flux are explicitly treated. Based on this method we construct finite element semidiscrete approximations and fully discrete approximations of the semilinear Sobolev equations. We prove the existence of semidiscrete approximations of u, $-{\nabla}u$ and $-{\nabla}u-{\nabla}u_t$ and obtain the optimal order error estimates in the $L^{\infty}(L^2)$ norm. And also we construct the fully discrete approximations and analyze the optimal convergence of the approximations in ${\ell}^{\infty}(L^2)$ norm. Finally we also provide the computational results.

A rough flat-joint model for interfacial transition zone in concrete

  • Fengchen Li;J.L. Feng
    • Computers and Concrete
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    • 제34권2호
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    • pp.231-245
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    • 2024
  • A 3D discrete element model integrating the rough surface contact concept with the flat-joint model is suggested to examine the mechanical characteristics of the interfacial transition zone (ITZ) in concrete. The essential components of our DEM procedure include the calculation of the actual contact area in an element contact-pair related to the bonded factor using a Gaussian probability distribution of asperity height, as well as the determination of the contact probability-relative displacement form using the least square method for further computing the force-displacement of ITZs. The present formulations are implemented in MUSEN, an open source development environment for discrete element analysis that is optimized for high performance computation. The model's meso-parameters are calibrated by using uniaxial compression and splitting tensile simulations, as well as laboratory tests of concrete from the literature. The present model's DEM predictions accord well with laboratory experimental tests of pull-out concrete specimens published in the literature.

DEM 모델을 이용한 평판재하시험의 토양 수직응력 해석 (Soil Stress Analysis Using Discrete Element Method for Plate-Sinkage Tests)

  • 장기찬;이수진;이규진
    • 한국CDE학회논문집
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    • 제20권3호
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    • pp.230-237
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    • 2015
  • Soil deformation on the off-load ground is significantly affected by soil conditions, such as soil type, water content, and etc. Thus, the soil characteristics should be estimated for predicting vehicle movements on the off-load conditions. The plate-sinkage test, a widely-used experimental test for predicting the wheel-soil interaction, provides the soil characteristic parameters from the relationship between soil stress and plate sinkage. In this study, soil stress under the plate-sinkage situation is calculated by the DEM (Discrete Element Method) model. We developed a virtual soil bin with DEM to obtain the vertical reaction forces under the plate pressing the soil surface. Also parametric studies to investigate effects of DEM model parameters, such as, particle density, Young's modulus, dynamic friction, rolling friction, and adhesion, on the characteristic soil parameters were performed.

분말에서 발생하는 Washboarding 현상에 대한 이산요소법을 이용한 수치해석적 연구 (A Numerical Analysis for the Washboarding Phenomenon on the Top Surface of Fine Powders Using the Discrete Element Method)

  • 이승준;박준영
    • 한국기계가공학회지
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    • 제19권4호
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    • pp.93-98
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    • 2020
  • Washboarding is a phenomenon in which a wavy shape occurs periodically and naturally on an unpaved road made of soil or gravel. This phenomenon causes high-frequency vibration of the traffic traveling on the road because of the height difference of the wave pattern, which may lead to vehicle failure. Consequently, associated research is needed concerning vehicle safety. Therefore, in this study, a numerical simulation was conducted using the discrete element method, which is often used for powder simulation. In contrast to previous studies, the results of this study demonstrate that washboarding can occur even in an environment of 1.5 m/s or less. However, the amount of washboarding is minimal. The study revealed that washboarding develops over time, such that sufficient development time is required before measurements are taken.

개별요소법을 이용한 미륵사지 석탑의 구조해석 (Structural Analysis of Stone Pagoda in Miruksa Temple Site using Discrete Element Method)

  • 김호수;정성진;홍석일
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2006년도 정기 학술대회 논문집
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    • pp.427-434
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    • 2006
  • The stone pagoda on the Miruksa temple site has a high value as architectural history, because this stone pagoda is one of the oldest and grandest stone pagodas which remain in Korea today. However, this stone pagoda has remained only six stones of the northeastern part, becased this stone pagoda was collapsed at past. Therefore, it is important to know the original structure and form of this stone pagoda. Hypotheses about collapse cause of this stone pagoda are presented as four cases: collapse by earthquake, collapse by fragility of ground, collapse by durability reduction, and collapse by lightning, On the basis of these four collapse hypotheses in this study, we investigate collapse phenomenon through the structural analysis using discrete element method and evaluate collapse causes of this stone pagoda.

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이산요소법을 이용한 코크스 분화 거동 해석 (Analysis for Cokes Fracture Behavior using Discrete Element Method)

  • 유수현;박준영
    • 한국입자에어로졸학회지
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    • 제8권2호
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    • pp.75-81
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    • 2012
  • The strength of lumped cokes can be represented by some index numbers. Although some indexes are suggested, these indexes are not enough to enlighten fracture mechanism. To find essential mechanism, a computational way, discrete element method, is applied to the uniaxial compression test for cylindrical specimen. The cylindrical specimen is a kind of lumped particle mass with parallel bonding that will be broken when the normal stress and shear stress is over a critical value. It is revealed that the primary factors for cokes fracture are parallel spring constant, parallel bond strength, bonding radius and packing ratio the parallel bond strength and radius of the parallel combination the packing density. Especially, parallel spring constant is directly related with elastic constant and yield strength.

직접전단시험과 이산요소법에 기반한 전단 시뮬레이션과의 비교 (A Comparison of the Direct Shear Test and Shear Simulation Based on the Discrete Element Method)

  • 정성헌;손정현
    • 한국기계가공학회지
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    • 제19권3호
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    • pp.86-91
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    • 2020
  • An important factor of rough road modeling is analyzing the shear behavior properties of the rough road. These properties influence the drawbar pull of the tool when interacting with the soil used in agriculture. Furthermore, shear behavior properties are important because sinkage and shear stress are generated when wheels drive on rough roads. In this study, we performed a direct shear test to investigate the shear behavior properties of soils and compare with the direct shear simulation; shear force derived by the coupled analysis of discrete element method; and multi-body dynamics. Soil contact parameters were measured in a wheel and soil contact simulation followed by comparison of the simulated and experimentally measured shear force.

A new hybrid method for reliability-based optimal structural design with discrete and continuous variables

  • Ali, Khodam;Mohammad Saeid, Farajzadeh;Mohsenali, Shayanfar
    • Structural Engineering and Mechanics
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    • 제85권3호
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    • pp.369-379
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    • 2023
  • Reliability-Based Design Optimization (RBDO) is an appropriate framework for obtaining optimal designs by taking uncertainties into account. Large-scale problems with implicit limit state functions and problems with discrete design variables are two significant challenges to traditional RBDO methods. To overcome these challenges, this paper proposes a hybrid method to perform RBDO of structures that links Firefly Algorithm (FA) as an optimization tool to advanced (finite element) reliability methods. Furthermore, the Genetic Algorithm (GA) and the FA are compared based on the design cost (objective function) they achieve. In the proposed method, Weighted Simulation Method (WSM) is utilized to assess reliability constraints in the RBDO problems with explicit limit state functions. WSM is selected to reduce computational costs. To performing RBDO of structures with finite element modeling and implicit limit state functions, a First-Order Reliability Method (FORM) based on the Direct Differentiation Method (DDM) is utilized. Four numerical examples are considered to assess the effectiveness of the proposed method. The findings illustrate that the proposed RBDO method is applicable and efficient for RBDO problems with discrete and continuous design variables and finite element modeling.

Analytical model for the composite effect of coupled beams with discrete shear connectors

  • Zheng, Tianxin;Lu, Yong;Usmani, Asif
    • Structural Engineering and Mechanics
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    • 제52권2호
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    • pp.369-389
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    • 2014
  • Two-layer coupled or composite beams with discrete shear connectors of finite dimensions are commonly encountered in pre-fabricated construction. This paper presents the development of simplified closed-form solutions for such type of coupled beams for practical applications. A new coupled beam element is proposed to represent the unconnected segments in the beam. General solutions are then developed by an inductive method based on the results from the finite element analysis. A modification is subsequently considered to account for the effect of local deformations. For typical cases where the local deformation is primarily concerned about its distribution over the depth of the coupled beam, empirical modification factors are developed based on parametric calculations using finite element models. The developed analytical method for the coupled beams in question is simple, sufficiently accurate, and suitable for quick calculation in engineering practice.