• 제목/요약/키워드: nonlinear finite elements

검색결과 405건 처리시간 0.024초

Experimental investigation and numerical analysis of optimally designed composite beams with corrugated steel webs

  • Erdal, Ferhat;Tunca, Osman;Ozcelik, Ramazan
    • Steel and Composite Structures
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    • 제37권1호
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    • pp.1-14
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    • 2020
  • Composite beams with corrugated steel webs represent a new innovative system which has emerged in the past decade for medium span in the construction technology. The use of composite beams with corrugated steel webs results in a range of benefits, including flexible spaces and reduced foundation costs in the construction technology. The thin corrugated web affords a significant weight reduction of these beams, compared with hot-rolled or welded ones. In the current research, an optimal designed I-girder beam with corrugated web has been proposed to improve the structural performance of continuous composite girder under bending moment. The experimental program has been conducted for six simply supported composite beams with different loading conditions. The tested specimens are designed by using one of the stochastic techniques called hunting search algorithm. In the optimization process, besides the thickness of concrete slab and studs, corrugated web properties are considered as design variables. The design constraints are respectively implemented from Eurocode 3, BS-8110 and DIN 18-800 Teil-1. The last part of the study focuses on performing a numerical study on composite beams by utilizing finite element analysis and the bending behavior of steel girders with corrugated webs experimentally and numerically verified the results. A nonlinear analysis was carried out using the finite element software ANSYS on the composite beams which were modelled using the elements ten-node high order quadrilateral type.

Finite element modeling methodologies for FRP strengthened RC members

  • Park, Sangdon;Aboutaha, Riyad
    • Computers and Concrete
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    • 제2권5호
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    • pp.389-409
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    • 2005
  • The Finite Element Analysis (FEA) is evidently a powerful tool for the analysis of structural concrete having nonlinearity and brittle failure properties. However, the result of FEA of structural concrete is sensitive to two modeling factors: the shear transfer coefficient (STC) for an open concrete crack and force convergence tolerance value (CONVTOL). Very limited work has been done to find the optimal FE Modeling (FEM) methodologies for structural concrete members strengthened with externally bonded FRP sheets. A total of 22 experimental deep beams with or without FRP flexure or/and shear strengthening systems are analyzed by nonlinear FEA using ANAYS program. For each experimental beams, an FE model with a total of 16 cases of modeling factor combinations are developed and analyzed to find the optimal FEM methodology. Two elements the SHELL63 and SOLID46 representing the material properties of FRP laminate are investigated and compared. The results of this research suggest that the optimal combination of modeling factor is STC of 0.25 and CONVTOL of 0.2. A SOLID 46 element representing the FRP strengthening system leads to better results than a SHELL 63 element does.

Nonlinear probabilistic shear panel analysis using advanced sampling techniques

  • Strauss, Alfred;Ju, Hyunjin;Belletti, Beatrice;Ramstorfer, Maximilian;Cosma, Mattia Pancrazio
    • Structural Engineering and Mechanics
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    • 제83권2호
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    • pp.179-193
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    • 2022
  • The shear behaviour of reinforced concrete members has been studied over the past decades by various researchers, and it can be simulated by analysing shear panel elements which has been regarded as a basic element of reinforced concrete members subjected to in-plane biaxial stresses. Despite various experimental studies on shear panel element which have been conducted so far, there are still a lot of uncertainties related to what influencing factors govern the shear behaviour and affect failure mechanism in reinforced concrete members. To identify the uncertainties, a finite element analysis can be used, which enables to investigate the impact of specific variables such as the reinforcement ratio, the shear retention factor, and the material characteristics including aggregate interlock, tension stiffening, compressive softening, and shear behaviour at the crack surface. In this study, a non-linear probabilistic analysis was conducted on reinforced concrete panels using a finite element method optimized for reinforced concrete members and advanced sampling techniques so that probabilistic analysis can be performed effectively. Consequently, this study figures out what analysis methodology and input parameters have the most influence on shear behaviour of reinforced concrete panels.

Behavior and modeling of RC beams strengthened with NSM-steel technique

  • Md. Akter Hosen;Khalid Ahmed Al Kaaf;A.B.M. Saiful Islam;Mohd Zamin Jumaat;Zaheer Abbas Kazmi
    • Structural Engineering and Mechanics
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    • 제88권1호
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    • pp.67-81
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    • 2023
  • The reinforced concrete (RC) structures might need strengthening or upgradation due to adverse environmental conditions, design defects, modification requirements, and to prolong the expected lifespan. The RC beams have been efficiently strengthened using the near surface mounted (NSM) approach over the externally bonded reinforcing (EBR) system. In this study, the performance of RC beam elements strengthened with NSM-steel rebars was investigated using an experimental program and nonlinear finite element modeling (FEM). Nine medium-sized, rectangular cross-section RC beams total in number made up for the experimental evaluation. The beams strengthened with varying percentages of NSM reinforcement, and the number of grooves was assessed in four-point bending experiments up to failure. Based on the experimental evaluation, the load-displacement response, crack features, and failure modes of the strengthened beams were recorded and considered. According to the experimental findings, NSM steel greatly improved the flexural strength (up to about 84%) and stiffness of RC beams. The flexural response of the tested beams was simulated using a 3D non-linear finite element (FE) model. The findings of the experiments and the numerical analysis showed good agreement. The effect of the NSM groove and reinforcement on the structural response was then assessed parametrically.

전단변형(剪斷變形)을 고려(考慮)한 공간(空間) 뼈대구조(構造)의 기하학적(幾何學的)인 비선형(非線形) 해석(解析) (Geometrically Non linear Analysis of Space Frames Including Shear Deformation Effects)

  • 김문영
    • 대한토목학회논문집
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    • 제13권4호
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    • pp.39-49
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    • 1993
  • 전단변형(剪斷變形) 효과(效果)가 고려되는 공간(空間)뼈대 구조(構造)의 기하학적(幾何學的)인 비선형(非線形) 해석(解析)을 수행하기 위한 두 가지 방법 즉, 유한분절법(有限分節法)과 유한요소법(有限要素法)을 제시한다. 유한분절법(有限分節法)의 경우에는 평형방정식(平衡方程式)을 직접(直接) 적분(積分)하므로써 휨과 비틂거동(擧動)에 대한 엄밀(嚴密)한 접선강도(接線剛度) 매트릭스가 유도되는 반면에 유한요소법(有限要素法)의 경우에는 전단변형(剪斷變形)을 고려하는 Hermitian 다항식(多項式)을 형상함수(形狀函數)로 사용하므로써 탄성(彈性) 및 기하적(幾何的)인 강도(剛度)매트릭스가 산정된다. 또한 축방향력(軸方向力)이 영(零)인 경우에 휨 및 비틂거동으로 인한 부재양단의 길이변화를 보정하는 Bowing 함수와 불평형하중의 산정방법을 제시한다. 선택된 예제(例題)들을 해석(解析)한 결과들과 다른 문헌(文獻)의 결과들을 비교, 검토하므로써 본(本) 논문(論文)에서 제시된 이론(理論)의 정당성(正當性)을 입증(立證)한다.

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축대칭 층구조체의 복합이론 및 유한요소해석프로그램의 개발 (Composite Finite Element Analysis of Axisymmetric Layered Systems)

  • 임종균;박문호;김진규
    • 대한토목학회논문집
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    • 제14권1호
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    • pp.29-38
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    • 1994
  • 본 연구는 축대칭 충구조체의 복합이론 및 유한요소해석 프로그램의 개발에 목적이었다. 연구대상인 축대칭 층구조체는 회전축에 수직으로 층을 이루고 있으며 선형, 탄성, 작은변형 및 축대칭 하중조건의 제한을 두었다. 개발된 복합이론은 multiscale의 방식을 사용하여 비균등질 층구조체를 등가 균등질로 취급할 수 있도록 하였으며 이 과정에서 주 변수들의 연속성만을 필요로 하였다. 그결과 종전에 시용되어온 비교적 복잡한 이론들과는 달리 $C_o$ 연속의 유한요소 프로그램의 개발이 가능하였으며 4 node isoparametric 요소를 사용하였다. 본 연구의 복합이론은 선형조건에 제한하였으나, 본 연구에서 제안한 multiscale 해석법을 이용하면 교량용 받침에 대한 연성재료의 비선형거동의 해석도 가능하게된다. 본 연구에서의 복합이론 및 유한요소해석의 타당함을 보이기위하여 두가지 하중조건 하에서 축대칭 층구조체를 해석하여 기존의 복합이론 및 이산화해석의 결과치와 비교하였다.

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Finite element modeling of high Deborah number planar contraction flows with rational function interpolation of the Leonov model

  • Youngdon Kwon;Kim, See-Jo;Kim, Seki
    • Korea-Australia Rheology Journal
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    • 제15권3호
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    • pp.131-150
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    • 2003
  • A new numerical algorithm of finite element methods is presented to solve high Deborah number flow problems with geometric singularities. The steady inertialess planar 4 : 1 contraction flow is chosen for its test. As a viscoelastic constitutive equation, we have applied the globally stable (dissipative and Hadamard stable) Leonov model that can also properly accommodate important nonlinear viscoelastic phenomena. The streamline upwinding method with discrete elastic-viscous stress splitting is incorporated. New interpolation functions classified as rational interpolation, an alternative formalism to enhance numerical convergence at high Deborah number, are implemented not for the whole set of finite elements but for a few elements attached to the entrance comer, where stress singularity seems to exist. The rational interpolation scheme contains one arbitrary parameter b that controls the singular behavior of the rational functions, and its value is specified to yield the best stabilization effect. The new interpolation method raises the limit of Deborah number by 2∼5 times. Therefore on average, we can obtain convergent solution up to the Deborah number of 200 for which the comer vortex size reaches 1.6 times of the half width of the upstream reservoir. Examining spatial violation of the positive definiteness of the elastic strain tensor, we conjecture that the stabilization effect results from the peculiar behavior of rational functions identified as steep gradient on one domain boundary and linear slope on the other. Whereas the rational interpolation of both elastic strain and velocity distorts solutions significantly, it is shown that the variation of solutions incurred by rational interpolation only of the elastic strain is almost negligible. It is also verified that the rational interpolation deteriorates speed of convergence with respect to mesh refinement.

유한요소해석을 통한 섬유보강 아스팔트의 파괴거동특성 분석 (Finite Element Analysis for Fracture Resistance of Fiber-reinforced Asphalt Concrete)

  • 백종은;유평준
    • 한국도로학회논문집
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    • 제17권3호
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    • pp.77-83
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    • 2015
  • PURPOSES : In this study, a fracture-based finite element (FE) model is proposed to evaluate the fracture behavior of fiber-reinforced asphalt (FRA) concrete under various interface conditions. METHODS : A fracture-based FE model was developed to simulate a double-edge notched tension (DENT) test. A cohesive zone model (CZM) and linear viscoelastic model were implemented to model the fracture behavior and viscous behavior of the FRA concrete, respectively. Three models were developed to characterize the behavior of interfacial bonding between the fiber reinforcement and surrounding materials. In the first model, the fracture property of the asphalt concrete was modified to study the effect of fiber reinforcement. In the second model, spring elements were used to simulated the fiber reinforcement. In the third method, bar and spring elements, based on a nonlinear bond-slip model, were used to simulate the fiber reinforcement and interfacial bonding conditions. The performance of the FRA in resisting crack development under various interfacial conditions was evaluated. RESULTS : The elastic modulus of the fibers was not sensitive to the behavior of the FRA in the DENT test before crack initiation. After crack development, the fracture resistance of the FRA was found to have enhanced considerably as the elastic modulus of the fibers increased from 450 MPa to 900 MPa. When the adhesion between the fibers and asphalt concrete was sufficiently high, the fiber reinforcement was effective. It means that the interfacial bonding conditions affect the fracture resistance of the FRA significantly. CONCLUSIONS : The bar/spring element models were more effective in representing the local behavior of the fibers and interfacial bonding than the fracture energy approach. The reinforcement effect is more significant after crack initiation, as the fibers can be pulled out sufficiently. Both the elastic modulus of the fiber reinforcement and the interfacial bonding were significant in controlling crack development in the FRA.

온도 및 내압을 받는 원자로 철근콘크리트 격납구조물의 비선형해석 (Nonlinear Analysis of Nuclear Reinforced Concrete Containment Structures under Accidental Thermal Load and Pressure)

  • 오병환;이명규
    • 대한토목학회논문집
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    • 제14권3호
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    • pp.403-414
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    • 1994
  • 본 연구에서는 철근콘크리트 격납구조물에서 가상의 냉각재 유출사고에 의한 온도하중과 압력에 따른 거동을 알아보기 위한 비선형 해석을 수행하였다. 시간에 따른 온도하중을 결정하기 위하여 과도온도해석을 통해 격납구조물 단면내의 온도분포를 구하였다. 구조물은 기하학적 비선형성과 재료비선형성을 고려한 쉘요소로 이상화되며, 쉘요소는 두께방향에 따라 변하는 응력을 고려하기 위해 몇 개의 층으로 이루어진 모델을 사용하였다. 본 연구에서는 재료비선형성을 고려하기위해 콘크리트의 압축거동은 Drucker-Prager 항복규준에 의해 모델링하며 부착효과를 고려한 콘크리트의 인장거동을 나타내기 위해 인장증강모델을 사용하였다. 철근은 축방향력만을 받는 분포 철근층으로 모델링하였으며 steel liner는 Von Mises 항복규준에 따라 모델링하였다. 열응력은 인접한 두시간 단계에서의 온도차를 하중증가로 고려하여 초기변형 문제로 변환하여 결정되었다. 본 연구에서의 수치해석결과에 의하면 과도온도해석에 근거한 비선형온도경사를 고려할때의 응력이 고려하지 않을때의 응력에 비해 크게 나타남을 알 수 있었다. 본 연구는 우리나라에서 많이 건설되고 있는 원자력발전소의 정확하고 진보적인 해석을 위하여 비선형해석 기법을 유도하여 제시하였으며, 특히 온도분포의 비선형성과 재료비선형을 고려한 고급 유한요소해석을 가능케하고 있다.

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변형률 구배 소성 저차 유한요소에 의한 크기 의존 구조 문제의 모델링 및 해석 (Modeling and Analysis of Size-Dependent Structural Problems by Using Low-Order Finite Elements with Strain Gradient Plasticity)

  • 박문식;서영성;송승
    • 대한기계학회논문집A
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    • 제35권9호
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    • pp.1041-1050
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    • 2011
  • 미크론 단위의 크기를 갖는 구조물의 소성변형에서 나타나는 길이 효과를 고려하여 유한요소 해석을 하기 위하여 변형률 구배 소성이론을 이용하는 탄소성 유한요소 모델링 및 해석법을 제안하였다. 기존의 연구에서 주로 고차, 고자유도 및 혼합요소, 초 요소 등을 필요로 하였던 것에 비하여 본 논문에서는 이들을 배제하는 변위법 저차 평면 요소 및 삼차원 요소를 도입하였다. 이는 비선형 증분 해석의 프레임워크에서 계산된 소성 변형률의 절점 평균값으로 보간하여 적분점에서의 변형률 구배를 구하고 테일러 전위 모델에 의한 변형률 경화 구성방정식을 적용하므로서 가능하였다. 제안된 방법론은 선형 삼각 및 사각요소, 선형 사면체, 육면체 요소에 대해 적용되었으며 마이크로 굽힘, 마이크로 비틀림, 마이크로 기공과 같은 대표적인 길이 스케일 문제를 통하여 수치적으로 검증하였다. 본 논문에서 제안한 방법은 계산이 매우 쉬우면서도 실험값들과 비교해 볼 때, 변형률 구배 소성이론 즉, 길이 효과를 잘 나타내어 주었다.