• Title/Summary/Keyword: Discrete Element Analysis

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

  • Kim Ho-Soo;Jung Sung-Jin;Hong Seok-Il
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2006.04a
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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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A refined discrete triangular Mindlin element for laminated composite plates

  • Ge, Zengjie;Chen, Wanji
    • Structural Engineering and Mechanics
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    • v.14 no.5
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    • pp.575-593
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    • 2002
  • Based on the Mindlin plate theory, a refined discrete 15-DOF triangular laminated composite plate finite element RDTMLC with the re-constitution of the shear strain is proposed. For constituting the element displacement function, the exact displacement function of the Timoshenko's laminated composite beam as the displacement on the element boundary is used to derive the element displacements. The proposed element can be used for the analysis of both moderately thick and thin laminated composite plate, and the convergence for the very thin situation can be ensured theoretically. Numerical examples presented show that the present model indeed possesses the properties of higher accuracy for anisotropic laminated composite plates and is free of locking even for extremely thin laminated plates.

Analysis of quasi-brittle materials using two-dimensional polygon particle assemblies

  • Lee, Jong Seok;Rhie, Yoon Bock;Kim, Ick Hyun
    • Structural Engineering and Mechanics
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    • v.16 no.6
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    • pp.713-730
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    • 2003
  • This paper contains the results of the study on the development of fracture and crack propagation in quasi-brittle materials, such as concrete or rocks, using the Discrete Element Method (DEM). A new discrete element numerical model is proposed as the basis for analyzing the inelastic evolution and growth of cracks up to the point of gross material failure. The model is expected to predict the fracture behavior for the quasi-brittle material structure using the elementary aggregate level, the interaction between aggregate materials, and bond cementation. The algorithms generate normal and shear forces between two interfacing blocks and contains two kinds of contact logic, one for connected blocks and the other one for blocks that are not directly connected. The Mohr-Coulomb theory has been used for the fracture limit. In this algorithm the particles are moving based on the connected block logic until the forces increase up to the fracture limit. After passing the limit, the particles are governed by the discrete block logic. In setting up a discrete polygon element model, two dimensional polygons are used to investigate the response of an assembly of different shapes, sizes, and orientations with blocks subjected to simple applied loads. Several examples involving assemblies of particles are presented to show the behavior of the fracture and the failure process.

A geometrically nonlinear thick plate bending element based on mixed formulation and discrete collocation constraints

  • Abdalla, J.A.;Ibrahim, A.K.
    • Structural Engineering and Mechanics
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    • v.26 no.6
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    • pp.725-739
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    • 2007
  • In recent years there are many plate bending elements that emerged for solving both thin and thick plates. The main features of these elements are that they are based on mix formulation interpolation with discrete collocation constraints. These elements passed the patch test for mix formulation and performed well for linear analysis of thin and thick plates. In this paper a member of this family of elements, namely, the Discrete Reissner-Mindlin (DRM) is further extended and developed to analyze both thin and thick plates with geometric nonlinearity. The Von K$\acute{a}$rm$\acute{a}$n's large displacement plate theory based on Lagrangian coordinate system is used. The Hu-Washizu variational principle is employed to formulate the stiffness matrix of the geometrically Nonlinear Discrete Reissner-Mindlin (NDRM). An iterative-incremental procedure is implemented to solve the nonlinear equations. The element is then tested for plates with simply supported and clamped edges under uniformly distributed transverse loads. The results obtained using the geometrically NDRM element is then compared with the results of available analytical solutions. It has been observed that the NDRM results agreed well with the analytical solutions results. Therefore, it is concluded that the NDRM element is both reliable and efficient in analyzing thin and thick plates with geometric non-linearity.

Structural Analysis of the Deck of a Dump Truck Based on Bulk Material Behavior using the Discrete Element Method (이산요소법을 이용한 벌크 재료 시뮬레이션에 의한 덤프 트럭 데크 하중산출에 대한 연구)

  • Ryu, Seung Hun;Woo, Ho Kil
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.33 no.3
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    • pp.187-192
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    • 2020
  • To reduce fuel consumption by reducing the weight of the deck of a dump truck and to design an eco-friendly deck, accurate structural analysis is required. To date, the load on the deck has been calculated based on the hydrostatic pressure or by applying the earth pressure theory. However, these methods cannot be used to determine the non-uniformity of the load on the deck. Load distribution varies depending on the size distribution and interaction of aggregate particles. Compared with the finite element method, the discrete element method can simulate the behavior of aggregate particles more effectively. In this study, major properties were obtained by measuring bulk density and repose. The deck of a 15 ton dump truck was simulated using the obtained properties and bumping, breaking, and turning load conditions were applied. EDEM, which is a discrete element analysis software, was employed. The stress and strain distribution of the deck were calculated by NASTRAN and compared with the measured values. The study revealed that the results derived from a DEM simulation were more accurate than those based on mathematical assumption.

Free Vibration Analysis of Curved Beams Regarded as Discrete System Using Finite Element-Transfer Stiffness Coefficient Method (유한요소-전달강성계수법에 의한 이산계 곡선보의 자유진동해석)

  • Choi, Myung-Soo;Yeo, Dong-Jun
    • Journal of Power System Engineering
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    • v.21 no.1
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    • pp.37-42
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    • 2017
  • A curved beam is one of the basic and important structural elements in structural design. In this paper, the authors formulated the computational algorithm for analyzing the free vibration of curved beams using the finite element-transfer stiffness coefficient method. The concept of the finite element-transfer stiffness coefficient method is the combination of the modeling technique of the finite element method and the transfer technique of the transfer stiffness coefficient method. And, we confirm the effectiveness the finite element-transfer stiffness coefficient method from the free vibration analysis of two numerical models which are a semicircle beam and a quarter circle beam.

ERROR ANALYSIS OF FINITE ELEMENT APPROXIMATION OF A STEFAN PROBLEM WITH NONLINEAR FREE BOUNDARY CONDITION

  • Lee H.Y.
    • Journal of applied mathematics & informatics
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    • v.22 no.1_2
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    • pp.223-235
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    • 2006
  • By applying the Landau-type transformation, we transform a Stefan problem with nonlinear free boundary condition into a system consisting of a parabolic equation and the ordinary differential equations. Fully discrete finite element method is developed to approximate the solution of a system of a parabolic equation and the ordinary differential equations. We derive optimal orders of convergence of fully discrete approximations in $L_2,\;H^1$ and $H^2$ normed spaces.

Mapping Particle Size Distributions into Predictions of Properties for Powder Metal Compacts

  • German, Randall M.
    • Proceedings of the Korean Powder Metallurgy Institute Conference
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    • 2006.09b
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    • pp.704-705
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    • 2006
  • Discrete element analysis is used to map various log-normal particle size distributions into measures of the in-sphere pore size distribution. Combinations evaluated range from monosized spheres to include bimodal mixtures and various log-normal distributions. The latter proves most useful in providing a mapping of one distribution into the other (knowing the particle size distribution we want to predict the pore size distribution). Such metrics show predictions where the presence of large pores is anticipated that need to be avoided to ensure high sintered properties.

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Prediction of Velocity of Shot Ball with Blade Shapes based on Discrete Element Analysis (이산요소해석에 기초한 블레이드 형상에 따른 숏볼의 투사속도 예측)

  • Kim, Tae-Hyung;Lee, Seung-Ho;Jung, Chan-Gi
    • Journal of the Korean Society of Mechanical Technology
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    • v.20 no.6
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    • pp.844-851
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    • 2018
  • In this study, the regression equation was suggested to predict of the shot ball velocity according to blade shapes based on discrete element (DE) analysis. First, the flat type blade DE model was used in the analysis, the validity of the DE model was verified by giving that the velocity of the shot ball almost equal to the theoretical one. Next, the DE analyses for curved and combined blade models was accomplished, and their analytical velocities of shot ball were compared with the theoretical one. The velocity of combined blade model was greatest. From this, the regression equation for velocity of shot ball according to the blade shape based on the DE analysis was derived. Additionally, the wind speed measurement experiment was carried out, and the experimental result and analytical one were the same. Ultimately, it was confirmed that the prediction method of the velocity of shot ball based on DE analysis was effective.

Comparative Numerical Analysis of Homogenized and Discrete-Micromechanics Models for Functionally Graded Materials (기능경사재를 위한 균질화와 이산화-미시역학 모델에 대한 비교 수치해석)

  • Ha, Dae-Yul;Lee, Hong-Woo;Cho, Jin-Rae
    • Proceedings of the KSME Conference
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    • 2000.04a
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    • pp.399-404
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    • 2000
  • Functionally graded materials(FGMs) involve dual-phase graded layers in which two different constituents are mixed continuously and functionally according to a given volume fraction. For the analysis of their thermo-mechanical response, conventional homogenized methods have been widely employed in order to estimate equivalent material properties of the graded layer. However, such overall estimations are insufficient to accurately predict the local behavior. In this paper, we compare the thermo-elastic behaviors predicted by several overall material-property estimation techniques with those obtained by discrete analysis models utilizing the finite element method, for various volume fractions and loading conditions.

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