• Title/Summary/Keyword: Distinct Element

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우리나라 결정질암내 동굴처분장에 대한 수치해석 (A Numerical analysis of Underground Repository Cavern in Korean Crystalline rocks)

  • 윤건신
    • 지질공학
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    • 제1권1호
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    • pp.68-84
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    • 1991
  • A numerical analysis using Universal Distinct Element Code program for the nuclear waste disposal cavern has been performed for a typical Korean crystalline rock condition with same geometry of Swedish low and intermediate nuclear waste disposal repository(S.F.R). The stress concentration, displacement and safety factor for the typical single cross section of cavern, 5 caverns and a silo are analyzed.

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굴착영향을 고려한 지하공동의 탄소성해석 (Elasto-Plastic Analysis of Underground Openings Considering the Effect of Excavation)

  • 최규섭;김대홍;황신일;심재구
    • 지질공학
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    • 제8권3호
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    • pp.225-234
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    • 1998
  • 지하공동의 거동은 굴착전에 암반에 존재하는 초기응력의 크기와 굴착에 따른 공동주변에서의 응력재분배에 많은 영향을 받는다. 암반과 같은 탄소성 재료인 경우 굴착으로 인한 공동주변의 거동은 응력경로의 영향을 받기 때문에 굴착방법과 순서 등에 따라 해석결과는 달라지게 된다. 따라서 지하 원자력발전소, 방사성폐기물 영구처분시설, 원유비축시설 등과 같은 대단면을 갖는 지하공동을 보다 합리적으로 설계하기 위해서는 해석과정에 굴착으로 인한 영향을 반영하는 것이 바람직하다. 본 연구에서는 굴착으로 인한 응력변화를 파악하기 위해서 유한요소법과 개별요소법에 의한 수치해석을 각각 수행하였다. 해석결과를 분석한후 합리적인 굴착단면형상, 굴착방법 및 순서, 지보효과, 다공동 굴착시 인접공동의 굴착으로 인한 영향 등을 검토하였다.

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A dynamic finite element method for the estimation of cable tension

  • Huang, Yonghui;Gan, Quan;Huang, Shiping;Wang, Ronghui
    • Structural Engineering and Mechanics
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    • 제68권4호
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    • pp.399-408
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    • 2018
  • Cable supported structures have been widely used in civil engineering. Cable tension estimation has great importance in cable supported structures' analysis, ranging from design to construction and from inspection to maintenance. Even though the Bernoulli-Euler beam element is commonly used in the traditional finite element method for calculation of frequency and cable tension estimation, many elements must be meshed to achieve accurate results, leading to expensive computation. To improve the accuracy and efficiency, a dynamic finite element method for estimation of cable tension is proposed. In this method, following the dynamic stiffness matrix method, frequency-dependent shape functions are adopted to derive the stiffness and mass matrices of an exact beam element that can be used for natural frequency calculation and cable tension estimation. An iterative algorithm is used for the exact beam element to determine both the exact natural frequencies and the cable tension. Illustrative examples show that, compared with the cable tension estimation method using the conventional beam element, the proposed method has a distinct advantage regarding the accuracy and the computational time.

Stochastic finite element analysis of composite plates considering spatial randomness of material properties and their correlations

  • Noh, Hyuk-Chun
    • Steel and Composite Structures
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    • 제11권2호
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    • pp.115-130
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    • 2011
  • Considering the randomness of material parameters in the laminated composite plate, a scheme of stochastic finite element method to analyze the displacement response variability is suggested. In the formulation we adopted the concept of the weighted integral where the random variable is defined as integration of stochastic field function multiplied by a deterministic function over a finite element. In general the elastic modulus of composite materials has distinct value along an individual axis. Accordingly, we need to assume 5 material parameters as random. The correlations between these random parameters are modeled by means of correlation functions, and the degree of correlation is defined in terms of correlation coefficients. For the verification of the proposed scheme, we employ an independent analysis of Monte Carlo simulation with which statistical results can be obtained. Comparison is made between the proposed scheme and Monte Carlo simulation.

THE TOTAL TORSION ELEMENT GRAPH WITHOUT THE ZERO ELEMENT OF MODULES OVER COMMUTATIVE RINGS

  • Saraei, Fatemeh Esmaeili Khalil
    • 대한수학회지
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    • 제51권4호
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    • pp.721-734
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    • 2014
  • Let M be a module over a commutative ring R, and let T(M) be its set of torsion elements. The total torsion element graph of M over R is the graph $T({\Gamma}(M))$ with vertices all elements of M, and two distinct vertices m and n are adjacent if and only if $m+n{\in}T(M)$. In this paper, we study the basic properties and possible structures of two (induced) subgraphs $Tor_0({\Gamma}(M))$ and $T_0({\Gamma}(M))$ of $T({\Gamma}(M))$, with vertices $T(M){\backslash}\{0\}$ and $M{\backslash}\{0\}$, respectively. The main purpose of this paper is to extend the definitions and some results given in [6] to a more general total torsion element graph case.

An exact finite element for a beam on a two-parameter elastic foundation: a revisit

  • Gulkan, P.;Alemdar, B.N.
    • Structural Engineering and Mechanics
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    • 제7권3호
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    • pp.259-276
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    • 1999
  • An analytical solution for the shape functions of a beam segment supported on a generalized two-parameter elastic foundation is derived. The solution is general, and is not restricted to a particular range of magnitudes of the foundation parameters. The exact shape functions can be utilized to derive exact analytic expressions for the coefficients of the element stiffness matrix, work equivalent nodal forces for arbitrary transverse loads and coefficients of the consistent mass and geometrical stiffness matrices. As illustration, each distinct coefficient of the element stiffness matrix is compared with its conventional counterpart for a beam segment supported by no foundation at all for the entire range of foundation parameters.

지반침하 거동특성 분석을 위한 암반의 부피팽창률에 관한 연구 II (A Study on the Volumetric Expansion Ratio of Rock Mass for Subsidence Behavior Analysis II)

  • 이승중;정용복;최성웅
    • 터널과지하공간
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    • 제18권6호
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    • pp.436-446
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    • 2008
  • 지반침하 지역의 지표침하량은 지하 채굴적의 높이보다 작은 것으로 분석되고 있다. 이러한 원인은 암반의 부피팽창률이며 아직까지 이에 대한 연구는 미흡한 실정이다. 따라서 본 연구에서는 부피팽창률 산정을 위해 3차원 입체 모델을 이용하여 지표침하량과 침하영향범위를 고려한 이론식을 유도하였다. 또한 수치해석 시 부피 팽창률의 적용성 검토를 위하여 개별요소 프로그램인 UDEC(Universal Distinct Element Code)을 이용하여 측압계수의 변화에 따른 지표침하의 변화 양상과 점착력의 변화에 따른 부피팽창률의 변화 양상을 분석하였다.

Barton-Bandis joint model을 이용한 절리 암반 사면의 안정성 해석 (Stability Analysis of a Jointed Rock Slope with the Barton-Bandis Joint Constitute Model Using UDEC)

  • 최성웅;정소걸
    • 터널과지하공간
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    • 제9권2호
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    • pp.141-148
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    • 1999
  • 암반 내에 존재하는 절리의 분포 양상을 현실적으로 반영할 수 있는 개별요소해석에서, 절리의 거동을 모사하는 구성방정식의 적절한 선택이 해석결과에 미치는 영향은 매우 크다. 본 연구에서는 절리 암반 사면의 안정성 분석을 통하여 Barton-Bandits (BB)의 구성방정식과 Mohr-Coulom (MC)의 구성방정식을 비교해 보았다. 절리의 전단변위 발생에 따른 수직팽창을 허용하는 BB 모델에서는 현장의 사면 양상과 매우 유사한 결과를 도출하였으며, 그 결과 10cm 두께의 숏크리트 타설이 보강 방안으로 제안되었다. 반면, 수직팽창이 일정한 값으로 주어지는 MC모델에서는 외부 하중 조건에 대하여 둔감한 반응을 보이는 등 현장 상황을 충분히 예측하지 못하는 결과가 도출되었다.

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팽창성 암석절리의 개별요소 모델링에 관한 연구 (A Study on Distinct Element Modelling of Dilatant Rock Joints)

  • 장석부;문현구
    • 터널과지하공간
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    • 제5권1호
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    • pp.1-10
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    • 1995
  • The behavior of a jointed rock mass depends mainly on the geometrical and mechanical properties of joints. The failure mode of a rock mass and kinematics of rock blocks are governed by the orientation, spacing, and persistence of joints. The mechanical properties such as dilation angle, shear strength, maximum closure, strength of asperities and friction coeffiient play important roles on the stability and deformation of the rock mass. The normal and shear behaviour of a joint are coupled due to dilation, and the joint deformation depends also on the boundary conditions such as stiffness conditons. In this paper, the joint constitutive law including the dilatant behaviour of a joint is numerically modelled using the edge-to-edge contact logic in distinct element method. Also, presented is the method to quantify the input parameters used in the joint law. The results from uniaxial compression and direct shear tests using the numeical model of the single joint were compared to the analytic results from them. The boundary effect on the behaviour of a joint is verified by comparing the results of direct shear test under constant stress boundary condition with those under constant stiffness boundary condition. The numerical model developed is applied to a complex jointed rock mass to examine its performance and to evaluate the effect of joint dilation on tunnel stability.

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