• 제목/요약/키워드: macro-element

검색결과 192건 처리시간 0.022초

Numerical simulation of shear mechanism of concrete specimens containing two coplanar flaws under biaxial loading

  • Sarfarazi, Vahab;Haeri, Hadi;Bagheri, Kourosh
    • Smart Structures and Systems
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    • 제22권4호
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    • pp.459-468
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    • 2018
  • In this paper, the effect of non-persistent joints was determined on the behavior of concrete specimens subjected to biaxial loading through numerical modeling using particle flow code in two dimensions (PFC2D). Firstly, a numerical model was calibrated by uniaxial, Brazilian and triaxial experimental results to ensure the conformity of the simulated numerical model's response. Secondly, sixteen rectangular models with dimension of 100 mm by 100 mm were developed. Each model contains two non-persistent joints with lengths of 40 mm and 20 mm, respectively. The angularity of the larger joint changes from $30^{\circ}$ to $90^{\circ}$. In each configuration, the small joint angularity changes from $0^{\circ}$ to $90^{\circ}$ in $30^{\circ}$ increments. All of the models were under confining stress of 1 MPa. By using of the biaxial test configuration, the failure process was visually observed. Discrete element simulations demonstrated that macro shear fractures in models are because of microscopic tensile breakage of a large number of bonded discs. The failure pattern in Rock Bridge is mostly affected by joint overlapping whereas the biaxial strength is closely related to the failure pattern.

A numerical analysis of the equivalent skeleton void ratio for silty sand

  • Dai, Bei-Bing;Yang, Jun;Gu, Xiao-Qiang;Zhang, Wei
    • Geomechanics and Engineering
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    • 제17권1호
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    • pp.19-30
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    • 2019
  • Recent research on the behavior of silty sand tends to advocate the use of equivalent skeleton void ratio to characterize the density state of this type of soil. This paper presents an investigation to explore the physical meaning of the equivalent skeleton void ratio by means of DEM simulations for assemblies of coarse and fine particles under biaxial shear. The simulations reveal that the distribution pattern of fine particles in the soil skeleton plays a crucial role in the overall macroscopic response: The contractive response observed at the macro scale is mainly caused by the movement of fine particles out of the force chains whereas the dilative response is mainly associated with the migration of fine particles into the force chains. In an assembly of coarse and fine particles, neither all of the fine particles nor all of the coarse ones participate in the force chains to carry the external loads, and therefore a more reasonable definition for equivalent skeleton void ratio is put forward in which a new parameter d is introduced to take into account the fraction of coarse particles absent from the force chains.

Performance evaluation and hysteretic modeling of low rise reinforced concrete shear walls

  • Nagender, T.;Parulekar, Y.M.;Rao, G. Appa
    • Earthquakes and Structures
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    • 제16권1호
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    • pp.41-54
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    • 2019
  • Reinforced Concrete (RC) shear walls are widely used in Nuclear power plants as effective lateral force resisting elements of the structure and these may experience nonlinear behavior for higher earthquake demand. Short shear walls of aspect ratio less than 1.5 generally experience combined shear flexure interaction. This paper presents the results of the displacement-controlled experiments performed on six RC short shear walls with varying aspect ratios (1, 1.25 and 1.5) for monotonic and reversed quasi-static cyclic loading. Simulation of the shear walls is then carried out by Finite element modeling and also by macro modeling considering the coupled shear and flexure behaviour. The shear response is estimated by softened truss theory using the concrete model given by Vecchio and Collins (1994) with a modification in softening part of the model and flexure response is estimated using moment curvature relationship. The accuracy of modeling is validated by comparing the simulated response with experimental one. Moreover, based on the experimental work a multi-linear hysteretic model is proposed for short shear walls. Finally ultimate load, drift, ductility, stiffness reduction and failure pattern of the shear walls are studied in details and hysteretic energy dissipation along with damage index are evaluated.

Tensile damage of reinforced concrete and simulation of the four-point bending test based on the random cracking theory

  • Chang, Yan-jun;Wan, Li-yun;Mo, De-kai;Hu, Dan;Li, Shuang-bei
    • Computers and Concrete
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    • 제30권4호
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    • pp.289-299
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    • 2022
  • Based on the random cracking theory, the cylinder RVE model of reinforced concrete is established and the damage process is divided into three stages as the evolution of the cracks. The stress distribution along longitude direction of the concrete and the steel bar in the cylinder model are derived. The equivalent elastic modulus of the RVE are derived and the user-defined field variable subroutine (USDFLD) for the equivalent elastic modulus is well integrated into the ABAQUS. Regarding the tensile rebars and the concrete surrounding the rebars as the equivalent homogeneous transversely isotropic material, and the FEM analysis for the reinforced concrete beams is conducted with the USDFLD subroutine. Considering the concrete cracking and interfacial debonding, the macroscopic damage process of the reinforced concrete beam under four-point bending loading in the simulation. The volume fraction of rebar and the cracking degree are mainly discussed to reveal their influence on the macro-performance and they are calibrated with experimental results. Comparing with the bending experiment performed with 8 reinforced concrete beams, the bending stiffness of the second stage and the ultimate load simulated are in good agreement with the experimental values, which verifies the effectiveness and the accuracy of the improved finite element method for reinforced concrete beam.

A computationally efficient numerical integration scheme for non-linear plane-stress/strain FEM applications using one-point constitutive model evaluation

  • Hector R. Amezcua;Amado G. Ayala
    • Structural Engineering and Mechanics
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    • 제85권1호
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    • pp.89-104
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    • 2023
  • This work presents a proposal for employing reduced numerical integration in the formulation of the 4-node quadrilateral solid finite element. The use of these low-order integration rules leads to numerical instabilities such as those producing the hourglass effect. The proposed procedure allows evaluating a given constitutive model only in one integration point, achieving an attractive computational cost reduction and, also, successfully controls the hourglass effect. A validation of the proposal is included and discussed throughout the paper. To show the efficiency of the proposal, several application examples of masonry structures are studied and discussed. To represent the non-linear mechanical behaviour of masonry a plastic-damage model is implemented within the application of this sub-integration scheme. Also, in order to have a full and computationally efficient strategy to determine the behaviour of masonry structures, involving its evolution to collapse, a homogenization technique with a macro-modeling approach is used. The methodology discussed throughout this paper demonstrates a substantial computational cost reduction and an improved approximation of the non-linear problem evidenced by a reduction of up to 85% of the computational time for some cases.

Finite element computer simulation of twinning caused by plastic deformation of sheet metal

  • Fuyuan Dong;Wang Xu;Zhengnan Wu;Junfeng Hou
    • Steel and Composite Structures
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    • 제47권5호
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    • pp.601-613
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    • 2023
  • Numerous methods have been proposed in predicting formability of sheet metals based on microstructural and macro-scale properties of sheets. However, there are limited number of papers on the optimization problem to increase formability of sheet metals. In the present study, we aim to use novel optimization algorithms in neural networks to maximize the formability of sheet metals based on tensile curve and texture of aluminum sheet metals. In this regard, experimental and numerical evaluations of effects of texture and tensile properties are conducted. The texture effects evaluation is performed using Taylor homogenization method. The data obtained from these evaluations are gathered and utilized to train and validate an artificial neural network (ANN) with different optimization methods. Several optimization method including grey wolf algorithm (GWA), chimp optimization algorithm (ChOA) and whale optimization algorithm (WOA) are engaged in the optimization problems. The results demonstrated that in aluminum alloys the most preferable texture is cube texture for the most formable sheets. On the other hand, slight differences in the tensile behavior of the aluminum sheets in other similar conditions impose no significant decreases in the forming limit diagram under stretch loading conditions.

멀티 스케일 접근법을 이용한 복합재 압력용기의 수명 예측 (Life Prediction of Composite Pressure Vessels Using Multi-Scale Approach)

  • 진교국;하성규;김재혁;한훈희;김성종
    • 한국산학기술학회논문지
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    • 제11권9호
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    • pp.3176-3183
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    • 2010
  • 본 논문은 다축 하중을 받는 복합재 압력용기의 멀티 스케일 피로수명 예측 방법을 제시하였다. 멀티 스케일 접근법은 복합재료의 기본 구성재료인 섬유, 기지 및 섬유/기지 경계면의 거동으로부터 복합재 플라이, 적층판 및 구조물의 전체 거동을 예측한다. 멀티 스케일 피로수명은 거시적 응력 해석과 미시적 피로파손 해석을 통해 예측된다. 유한요소법을 이용하여 복합재 압력용기의 적층판에 가해지는 다축 피로하중을 구하며, 고전적층판이론을 이용하여 적층판의 플라이 응력을 계산하였다. 미소역학 모델을 이용하여 플라이 응력으로부터 각각 섬유, 기지 및 섬유/기지 경계면에 발생되는 응력을 계산하였다. 복합재 구성재료의 피로수명은 섬유에 대해서는 최대응력법을, 기지에 대해서는 등가응력법을, 섬유/기지 경계면에 대해서는 임계평면법을 사용하였다. 평균응력을 고려하기 위하여 수정된 Goodman 식을 적용하였다. 모든 피로하중에 의한 손상은 Miner 법칙을 이용하여 선형 누적이 되고, 이를 통해 최종 피로파손을 판단한다. 섬유와 기지의 물성값, 섬유체적비 및 와인딩 각도의 확률분포에 따른 복합재 압력용기의 피로수명 영향을 분석하기 위해 몬테카르로 시뮬레이션을 수행하였다.

다공성규산칼슘계 화합물을 이용한 원예용 상토개발에 관한 연구 (Study on Development of Horticultural Media Using Macroporous Calcium-Silicate Mineral)

  • 이종진;장기운
    • 유기물자원화
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    • 제9권2호
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    • pp.101-107
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    • 2001
  • 본 연구는 다공성규산칼숨계화합물(CellCaSi) 의 토양개량제 및 원예용상토 원료로서의 평가와 농업적 효용가능성에 대하여 검토되었다. 다양한 입자크기인 1~3.35mm 범위로 구성된 CellCaSi의 용적밀도는 약 $0.42g/cm^3$였다. 또한 최대공극은 81.4%로 나타났다. 원예용 상토에 CellCaSi의 적정혼합비를 구하기 위하여 배추, 상추의 발아율(Germination Index; G.I)을 조사하였으며, CellCaSi가 10% 첨가된 상토의 G.I.가 배추와 상추에서 각각 94.1%, 64.6%로 가장 높은 결과를 얻었다. 그리고 배추, 상추의 작물생육조사에서는 공시작물의 생중량을 비교할 때 CellCaSi의 첨가비율이 10%와 20%에서 가장 우위를 나타냈다. CellCaSi의 흡착능 실험에서는 화학비료를 N : P : K = 18 : 18 : 18의 비로 처리하였으며, N. P. K의 처리된 성분이 증가할수록 CellCaSi에 흡착된 양도 증가하는 경향이 나타났다. 배추와 상추의 작물생육조건에서 가장 적절한 처리는 Fer-1, 그리고 Fer-05였다.

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경계요소를 가진 철근콘크리트 전단벽의 비선형 해석을 위한 간편 모델 (A Simple Model for the Nonlinear Analysis of an RC Shear Wall with Boundary Elements)

  • 김태완;정성훈;유태상
    • 한국지진공학회논문집
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    • 제15권4호
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    • pp.45-54
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    • 2011
  • 경계요소를 가지는 철근콘크리트 전단벽의 비선형 해석을 위한 간편 모델을 제안하였다. 이 간편 모델은 전단벽의 휨 및 전단 거동을 스프링요소로 나타낸 거시적 모델이다. 휨거동은 벽체의 단면해석을 기초로 한 모멘트강도와 회전능력을 벽체 양단의 수직 스프링요소로 나타내었다. 경계요소를 가지는 전단벽은 휨거동에 의해 지배되므로 전단거동은 휨거동에 바탕하여 변수를 계산하였고 중앙부 수평 스프링요소로 나타내었다. 제안된 모델은 전단벽 정적이력시험 결과와 비교한 후 비선형동적해석을 수행하여 사용된 이력법칙 및 변수들의 타당성을 조사하였다. 비선형동적해석을 이용한 변수연구를 통하여 내진성능평가의 주요변수인 요구값과 성능값에 미치는 영향을 검토하였다. 그 결과 전단력-전단변형 관계에서 약간의 차이가 있지만 전단벽의 전체거동은 잘 일치하였으며, 주요 변수의 변화에 대해 요구값과 성능값도 일정하게 변화하므로 제안된 해석모델은 경계요소를 가진 철근콘크리트 전단벽에 알맞은 것으로 판단된다.

에너지 분산형 X-선 형광분석기를 이용한 황금의 원산지 판별 (Discrimination of Geographical Origin for Scutellaria baicalensis Using Energy Dispersive X-ray Fluorescence Spectrometer)

  • 문지영;이예지;강정미;조순준;노봉수
    • 한국식품과학회지
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    • 제44권4호
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    • pp.484-487
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    • 2012
  • 에너지 분산형 X-선 형광분석기를 이용하여 국산과 수입산 황금의 원산지 판별 기술을 개발하였다. P, S, Cl, K, Ca, Mn, Fe, Cu, Zn 등 총 43종의 무기성분 함량을 총 206개의 시료에서 측정하였다. 특히 국산과 수입산 시료 간에 함량비 차이가 크게 나타난 무기원소는 P, S, K, Ca, Cl, Mn, Fe 등 이었다. 다량원소에서 P의 경우 국산은 0.38%이고 중국산은 0.23%이었고, S은 국산이 0.16%이고 중국산이 0.25%였으며, K은 국산은 1.58%이고 중국산은 1.20%, Ca은 국산은 0.18%, 중국산이 0.39%로 나타나 큰 차이를 보여주었다. 미량원소에서도 Cl의 경우 국산은 487.72 ppm이고 중국산은 616.69 ppm이었고, Mn은 국산이 39.79 ppm이고 중국산이 7.92 ppm, Fe은 국산은 122.79 ppm이고 중국산은 274.87 ppm으로 나타나 국산과 중국산 황금의 미량원소 함량비 차이를보여주었다. Spectra EDX의 반정량법인 standardless fundamental prameters (SLFP)방법을 이용하여 원소별 상대적 함량 백분비를 얻은 다음, 다변량 분석 중의 한 방법인 정준판별분석법으로 분석하여 원산지를 판별하였다. 국산 시료 108점 중 8점을 중국산으로 판별하였고, 중국산 98점 중 2점을 국산으로 판별하여 95.15%의 판별정확도를 나타냈고 상관계수는 0.888이었다. 에너지 분산형 X-선 형광분석기에 의한 원산지 판별 기술이 황금의 원산지 판별에 유용하게 사용될 수 있다고 판단된다.