• Title/Summary/Keyword: 직접수치 해석 기법

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Numerical Analysis Method of Overlay Model for Material Nonlinearity Considering Strain Hardening (변형률 경화를 고려한 오버레이 모델의 재료비선형 수치해석기법)

  • Baek, Ki Youl
    • Journal of Korean Society of Steel Construction
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    • v.19 no.3
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    • pp.291-301
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    • 2007
  • The overlay model is a certain kinds of numerical analysis method to present the material non-lineariy which is represented the baushinger effect and the strain hardening. This model simulates the complex behavior of material by controlling the properties of the layers which like the hardening ratio, the section area and the yield stress. In this paper, the constitutive equation and plastic flow rule of each layer which are laid in the plane stress field are obtained by using the thermodynamics. Two numerical examples were tested for the validity of proposed method in uniaxial stress and plane stress field with comparable experimental results. The only parameter for the test is the yield stress distribution of each layers.

The Mixed Finite Element Analysis for Porous Media using Domain Decomposition Method (영역 분할기법을 이용한 포화 다공질매체의 혼합유한요소해석)

  • Lee, Kyung-Jae;Tak, Moon-Ho;Kang, Yoon-Sik;Park, Tae-Hyo
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.23 no.4
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    • pp.369-378
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    • 2010
  • The mixed finite element analysis is the most widely used method for saturated porous media. Generally, in this method, direct method and iterative method are proposed to obtain unknown variable, however, the iterative method is recommended because the method provide numerical stability and accuracy under the material properties for solid and fluid are different. In this paper, we introduce staggered method which has strong numerical stability, and FETI(Finite Element Tearing and Interconnecting) which is one of decomposition methods are applied into the method in order to obtain numerical efficiency. In which, Lagrange Multipliers and conjugated gradient method to solve decomposed domain are proposed, and then, the proposed method is verified numerical efficiency by point to point MPI(Message Passing Interface) library.

저궤도 상에서의 Ashen light 관측을 통한 통합적 광선 추적 수치 모사

  • Yu, Jin-Hui;Ryu, Dong-Ok;Kim, Seok-Hwan
    • Bulletin of the Korean Space Science Society
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    • 2010.04a
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    • pp.26.2-26.2
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    • 2010
  • 이 연구는 Ashen light 측정을 통해 전 지구 반사율을 구하는 통합적 광선 추적 모델을 구성하고 그 수치모사 성능을 검증하는데 목적을 두고 있다. 통합적 광선 추적 모델은 태양-지구-달 시스템에 대하여 태양 복사에너지의 광경로를 추적함으로써 최종적으로 저궤도 상에 존재하는 광학계에 도달하는 Ashen light과 moonshine의 조도를 수치 모사하는 기법이다. Ashen light은 구형의 태양에서 출발한 $1.626\times10^{26}W$의 에너지를 가지는 400nm에서 700nm 파장대역의 빛이 램버시안 특성을 지니는 구형의 지구에서 반사된 후 램버시안 특성을 가지는 구형의 달에서 재 반사되어 저궤도상의 광학계로 입사하는 빛이고, moonshine은 달에서 직접 반사되어 저궤도상의 광학계로 입사하는 빛이다. 통합적 광선 추적 수치 모사를 이용하여 구한 Ashen light과 moonshine의 조도는 1차 근사 해석적 방법을 이용한 계산 결과와 측정 오차 범위 이내의 오차를 보였다. 최종 연구 결과 Ashen light과 moonshine의 조도를 이용하여 구한 지구 반사율과 1차 근사 해석적 방법을 이용한 지구 반사율 계산의 결과가 유사함을 증명하였다.

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Numerical analysis of shallow-water flow over the square-edged broad-crested weir (직각 광정 위어를 지나는 천수 흐름의 수치 해석)

  • Hwang, Seung-Yong
    • Journal of Korea Water Resources Association
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    • v.55 no.10
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    • pp.811-821
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    • 2022
  • Accuracy of a numerical model with the Hwang's scheme of directly analyzing discontinuous topography could be enhanced by introducing a flux correction coefficient that accounted for the deviation of actual pressure from hydrostatic distribution acting on the front of discontinuous topography. The optimal coefficient was determined from 218 experimental runs for square-edged broad-crested weir and simulation with it showed good agreement with another two square-edged broad-crested weir experiments and an unsteady side-weir experiment. This enabled accurate numerical simulation of shallow-water flow over the discontinuous river structure, such as square-edged broad-crested weir, without alleviating discontinuous topography with refined meshes or imposing internal boundary conditions.

FE Model Updating on the Grillage Model for Plate Girder Bridge Using the Hybrid Genetic Algorithm and the Multi-objective Function (하이브리드 유전자 알고리즘과 다중목적함수를 적용한 플레이트 거더교의 격자모델에 대한 유한요소 모델개선)

  • Jung, Dae-Sung;Kim, Chul-Young
    • Journal of the Earthquake Engineering Society of Korea
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    • v.12 no.6
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    • pp.13-23
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    • 2008
  • In this study, a finite element (FE) model updating method based on the hybrid genetic algorithm (HGA) is proposed to improve the grillage FE model for plate girder bridges. HGA consists of a genetic algorithm (GA) and direct search method (DS) based on a modification of Nelder & Mead's simplex optimization method (NMS). Fitness functions based on natural frequencies, mode shapes, and static deflections making use of the measurements and analytical results are also presented to apply in the proposed method. In addition, a multi-objective function has been formulated as a linear combination of fitness functions in order to simultaneously improve both stiffness and mass. The applicability of the proposed method to girder bridge structures has been verified through a numerical example on a two-span continuous grillage FE model, as well as through an experimental test on a simply supported plate girder skew bridge. In addition, the effect of measuring error is considered as random noise, and its effect is investigated by numerical simulation. Through numerical and experimental verification, it has been proven that the proposed method is feasible and effective for FE model updating on plate girder bridges.

The Role of the Plastic Flow Rules in the Elasto-Plastic Formulation of Joint behaviour (절리거동의 탄소성해석에서 소성유동법칙의 역할)

  • 이연규
    • Tunnel and Underground Space
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    • v.10 no.2
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    • pp.173-179
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    • 2000
  • The influence of the plastic flow rules on the elasto-plastic behaviour of a discrete joint element was investigated by performing the numerical direct shear tests under both constant normal displacement and normal displacement conditions. The finite interface elements obeying Plesha’s joint constitutive law was used to allow the relative motion of the rock blocks on the joint surface. Realistic results were obtained in the tests adopting the non-associated flow rule, while the associated flow rule overestimated the joint dilation. To overcome the computational drawbacks coming from the non-symmetric element stiffness matrix in the conventional non-associated plasticity, the symmetric formulation of the tangential stiffness matrix for a non-associated joint element was proposed. The symmetric elasto-plastic matrix it derived by assuming an imaginary equivalent joint with associated flow rule which shows the same plastic response as that of original Joint with non-associated flow rule. The validity of the formulation was confirmed through the numerical direct shear tests under constant normal stress condition.

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Development of Hydrodynamic Model on the Downstream of Han River by Using Geographical Information System (GIS와 연계한 한강 하류부에서의 동수역학적 수치모형의 개발)

  • Han, Geon-Yeon;Lee, Eul-Rae;Park, Jae-Hong
    • Journal of Korea Water Resources Association
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    • v.34 no.2
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    • pp.107-118
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    • 2001
  • This study was to develop a tow-dimensional model system for the hydrodynamic analysis and to apply the system on the downstream of Han River. it is performed to design a GIS-based hydrodynamic system for the scientific shallow water profile analysis, and to compare hydrodraulic modeling is the Petrov-Galerkin's finite element method for flow prediction model. This study was to construct a GIS-based river flow system, and it is useful for supporting user's decision making for the on-line status through various analysis. We expect that the results from this study can be used as one of the guidelines for river analysis and management system in order rivers, reservoirs, and estuaries.

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An effective MLS Difference Method with immersed interface for solving interface problems (계면경계 문제의 효율적인 해석을 위한 계면경계조건이 매입된 이동최소제곱 차분법)

  • Yoon, Young-Cheol
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2011.04a
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    • pp.752-755
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    • 2011
  • 이종재료의 열전달문제 수치해석시 추가적으로 만족시켜야 하는 계면경계조건들의 존재와 계면경계로 인한 불연속면의 처리는 근사함수의 구성 뿐만 아니라 수치기법의 개발 자체를 어렵게 만든다. 본 논문에서는 계면경계의 불연속성을 모델링하는 특수한 함수를 포함하고 계면경계조건을 항상 만족시킬 수 있는 근사함수를 구성하고, 계면경계문제의 강형식을 직접 이산화하며 고속으로 해를 계산할 수 있는 이동최소제곱 차분법을 제시한다. 계면경계조건이 매입된 이동최소제곱 차분법으로 이종재료의 열전달문제를 해석한 결과, 높은 정확성과 효율성을 갖는 것을 확인할 수 있었다.

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Numerical Approach for Determination of Shut-in Pressure in Hydrofracturing Test (수압파쇄 균열폐쇄압력 산정을 위한 수치해석 연구)

  • Choi, Sung-O.
    • Tunnel and Underground Space
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    • v.21 no.2
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    • pp.128-137
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    • 2011
  • The shut-in pressure calculated in common hydrofracturing test for vertical borehole equals generally to the minimum horizontal principal stress, so it should be considered as an essential parameter for determining the in-situ stress regime around the rock mass. It shows usually an ambiguous value in pressure-time history curves, however, because of the relationship between the behavior of hydraulic fractures and the condition of remote stress regime. In this study, a series of numerical analyses have been carried out to compare several methods for determining the shut-in pressure during hydrofracturing. The hydraulic-mechanical coupling has been applied to numerical analysis for simulating the fracture propagation by hydraulic pressure, and the different discontinuity geometry has been considered in numerical models to examine the effect of numerical element shape on fracture propagation pattern. From the numerical simulations with the four different discontinuity geometries, it was revealed that the shut-in pressure obtained from graphical methods rather than statistical method was relatively small. Consequently a care should be taken in selecting a method for determining the shut-in pressure when a stress anomaly around borehole and a fracture propagation with complicate mechanism are considered.

A Novel Scheme to Depth-averaged Model for Analyzing Shallow-water Flows over Discontinuous Topography (불연속 지형을 지나는 천수 흐름의 해석을 위한 수심적분 모형에 대한 새로운 기법)

  • Hwang, Seung-Yong
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.35 no.6
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    • pp.1237-1246
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    • 2015
  • A novel technique was proposed to calculate fluxes accurately by separation of flow area into a part of step face which is dominated by flow resistance of it and an upper part which is relatively less affected by the step face in analyzing shallow-water flows over discontinuous topography. This technique gives fairly good agreement with exact solutions, 3D simulations, and experimental results. It has been possible to directly analyze shallow-water flows over discontinuous topography by the technique developed in this study. It is expected to apply the developed technique to accurate evaluation of overflows over weirs or retaining walls (riverside roads) and areas flooded by the inundation in the city covered in discontinuous topography.