• 제목/요약/키워드: Elasto-Plastic Finite Element Method

검색결과 244건 처리시간 0.023초

굽힘하중을 받는 배관의 파손에 미치는 감육의 영향 (Effect of Wall Thinning on the Failure of Pipes Subjected to Bending Load)

  • 안석환;남기우
    • 대한기계학회논문집A
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    • 제29권4호
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    • pp.606-613
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    • 2005
  • Effects of circumferentially local wall thinning on the fracture behavior of pipes were investigated by monotonic four-point bending. Local wall thinning was machined on the pipes in order to simulate erosion/corrosion metal loss. The configurations of the eroded area included an eroded ratio of d/t= 0.2, 0.5, 0.6, and 0.8, and an eroded length of ${\ell}\;=10mm,$ 25mm, and 120mm. Fracture type could be classified into ovalization, local buckling, and crack initiation depending on the eroded length and eroded ratio. Three-dimensional elasto-plastic analyses were also carried out using the finite element method, which is able to accurately simulate fracture behaviors excepting failure due to cracking. It was possible to predict the crack initiation point by estimating true fracture ductility under multi-axial stress conditions at the center of the thinned area.

변동하중을 받는 Lower Control Arm의 잔류응력 변화 (Residual Stress of the Lower Control Arm Subjected to Cyclic Loading)

  • 김기훈;강우종
    • 대한기계학회논문집A
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    • 제30권5호
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    • pp.602-608
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    • 2006
  • Vehicle components such as lower control arm are usually affected by heat during the welding process. As a result, residual stress is generated, which has much effect on mechanical performances such as crashworthiness and durability. In this study, the residual stress in lower control arm has been measured by the x-ray diffraction method and been analyzed by finite element methods. Heat transfer during seam weld process has been calculated and used in calculating thermal deformation with temperature dependent material properties. High residual stress has been found at vertical wall both by measurement and simulation. The simulation also showed the residual stress re-distribution when the component is subjected to cyclic loading condition.

다양한 구성방정식에 따른 터널 거동해석 (The Analysis of Tunnel Behavior using Different Constitutive Models)

  • 김영민;강성귀
    • 터널과지하공간
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    • 제20권2호
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    • pp.73-81
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    • 2010
  • 본 논문에서는 여러 가지의 구성방정식 모델을 이용하여 NATM 터널의 유한요소 해석의 적용에 대하여 설명하였다. 일련의 2차원 평면변형률 조건하 NATM 터널의 지반-구조물에 대한 해석을 분석하였다. 사용한 4가지 구성방정식 모델로는 선형탄성, Mohr-Coulomb 탄소성, 변형경화, 연화지반모델이다. 터널설계에서는 지표면의 침하, 지보재 축력에 대한 적절한 예측이 필요하다. 수치해석결과 진보된 구성방정식 모델이 지반변형과 지보재의 축력에 대해 보다 적절한 결과를 나타내었다.

다결정재 소성변형의 탄소성 해석을 위한 접선강성 개발 (A New Tangent Stiffness for Anisotropic Elasto-Viscoplastic Analysis of Polycrystalline Deformations)

  • 윤종헌;허훈;이용신
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2006년도 춘계학술대회 논문집
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    • pp.349-352
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    • 2006
  • The plastic deformation of polycrystalline materials is induced by changes of the microstructure when the loading is beyond the critical state of stress. Constitutive models for the crystal plasticity have the common objective which relates microscopic single crystals in the crystallographic texture to the macroscopic continuum point. In this paper, a new consistent tangent stiffness for the anisotropic elasto-viscoplastic analysis of polycrystalline deformation is developed, which can be used in the finite element analysis for the slip-dominated large deformation of polycrystalline materials. In order to calculate the consistent tangent stiffness, the state function is defined based on the consistency condition between the elastic and plastic stress. The rate of shearing increment($\Delta{\gamma}^{\alpha}$) is calculated with satisfying the consistency condition. The consistency condition becomes zero when the trial resolved shear stress($\tau^{{\alpha}^*}$) becomes resolved shear stress($\tau^{\alpha}$) at every step. Iterative method is utilized to calculate the rate of shearing increment based on the implicit backward Euler method. The consistent tangent stiffness can be formulated by differentiating the rate of shearing increment with total strain increment after the instant rate of shearing increment converges. The proposed tangent stiffness is applied to the ABAQUS/Standard by implementing in the ABAQUS/UMAT.

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횡하중(橫荷重)을 받는 선각판(船殼板)의 비선형(非線形) 해석(解析) (Nonlinear Analysis of Ship Plating under Lateral Loads.)

  • 임상전;양영순
    • 대한조선학회지
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    • 제17권1호
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    • pp.1-10
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    • 1980
  • The nonlinear analysis of ship plating with flat bar stiffners has been carried out by the finite element method based on the load incremental approach. The large deflection analysis has been done by using the Lagrangian description. The elastoplastic analysis has been performed by adopting the flow theory of plasticity and the von Mises yield condition. The layered elements are used to show the process of yielding through the plate thickness in the elasto-plastic analysis. The following results are obtained; 1) According to the large deflection analysis, it is shown that the small deflection theory to the plate is applicable in the range of the lateral deflection-the thickness ratio $w/h{\leqq}0.3$ and ship plating in the range of $w/h{\leqq}0.5$. 2) By means of the elasto-plastic analysis, it is found that the maximum load-carrying capacity of the plate increases as much as 1.8 times of the initial yield load in the case of the simply supported condition and 2.2 times in the clamped condition. It is also shown that the maximum load-carrying capacity of ship plating increase as much as 4.3 times in the simply supported condition and 4.2 times in the clamped condition. This method would be applied and extended to solve combined nonlinear problems which involve both material nonlinearity and geometric nonlinearity.

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한국형 원전 격납건물의 비선형해석에 관한 연구 (A Study on the Nonlinear Analysis of Containment Building in Korea Standard Nuclear Power Plant)

  • 이홍표;전영선
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2007년도 정기 학술대회 논문집
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    • pp.694-697
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    • 2007
  • In this paper, a nonlinear finite element analysis program NUCAS, which has been developed for assessment of pressure capacity and failure mode for nuclear containment building is described. Degenerated shell element with assumed strain method and low-order solid element with enhanced assumed strain method is adapted to microscopic material and elasto-plastic material model, respectively. Finally, the performance of the developed program is tested and demonstrated with several examples. From the numerical tests, the present results show a good agreement with experimental data or other numerical results.

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연속 탄소성 캡 모델(I): 구성모델 및 항복면의 결정 (A Smooth Elasto-Plastic Cap Model(I): Rate Formulation, Yield Surface Determination)

  • 서영교
    • 한국지반공학회논문집
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    • 제17권3호
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    • pp.15-23
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    • 2001
  • 탄소성 캡 모델의 중요한 장점은 여러 가지 다공체의 전체적인 축차 및 체적의 비선형 상호거동을 동시에 다룰 수 있음에 있다. 그러나 대부분의 캡 모델이 가진 문제점중의 하나는 세 개의 독립적인 항복면이 불연속으로 연결되어 있음으로부터 기인된다. 본 연구에서는 이러한 항복면 사이의 연결점에서의 탄소성 접선 계수는 특이점이 되고 수치해석상 잠재적인 어려움을 내재하고 있음을 나타내고 이러한 문제의 해결방안의 하나로 세 개의 항복면이 연속적으로 만나는 새로운 탄소성 캡 모델을 제시하였다. 본 논문에서는 모델의 증분형태의 구성식 및 새로운 응력을 구하기 위한 활동 항복면의 결정을 판단하는 알고리즘이 제시되었다. 동반 논문에서는 내재적인 응력적분 및 일관적인 접선계수를 유도하였고 예제계산들을 수행하였다.

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연속 탄소성 캡 모델(II): 응력적분 및 접선계수 (A Smooth Elasto-Plastic Cap Model(II): Integration Algorithm and Tangent Operator)

  • 서영교
    • 한국지반공학회논문집
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    • 제17권3호
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    • pp.25-32
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    • 2001
  • 보편적인 탄소성 캡 모델은 전통적인 등방 이론에 기초를 두고 있다. 이러한 모델의 응력적분 및 접선 계수의 유도는 여러 가지 논문들에 나타나 있지만 축차 및 체적 거동을 동시에 다루는 내제적인 해석법을 통한 지반해석은 아직까지는 많은 도전이 요구되고 있다. 앞선 동반 논문에서는 비연속적으로 연결된 항복면 사이의 접선 계수는 특이점이 됨을 나타내었고 이에 대하여 새로운 캡 모델의 구성식이 제시되었다. 본 논문에서는 제시된 캡 모델의 비 조건적이고 안정된 내재적 응력적분 및 일관된 탄소성 접선계수를 유도하였다. 또한 간단한 예제를 통하여 모델의 수행능력을 보여주었고 사면안정계산이 수행되었다.

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Nonlinear Analysis of RC Structures using Assumed Strain RM Shell Element

  • Lee, Sang Jin
    • Architectural research
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    • 제16권1호
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    • pp.27-35
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    • 2014
  • Nonlinear analysis of reinforced concrete structures is carried out by using Reissner-Mindlin (RM) shell finite element (FE). The brittle inelastic characteristic of concrete material is represented by using the elasto-plastic fracture (EPF) material model with the relevant material models such as cracking criteria, shear transfer model and tension stiffening model. In particular, assumed strains are introduced in the formulation of the present shell FE in order to avoid element deficiencies inherited in the standard RM shell FE. The arc-length control method is used to trace the full load-displacement path of reinforced concrete structures. Finally, four benchmark tests are carried out and numerical results are provided as future reference solutions produced by RM shell element with assumed strains.

곡판의 맞대기 용접변형 거동에 관한 연구 (On the Weld-Induced Deformation Analysis of Curved Plates)

  • 이주성
    • 한국해양공학회:학술대회논문집
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    • 한국해양공학회 2006년 창립20주년기념 정기학술대회 및 국제워크샵
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    • pp.201-204
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    • 2006
  • A three-dimensional finite element (FEM) model has been developed to simulate the deformation due to bead on plate welding of curved plates with curvature in the weld direction. By using traditional method such as thermal-elastic-plastic FEM, the weld-induced deformation can be predicted accurately. However, this method is not practical approach to analyze the deformation of large and complex structures such as ship hull structures in view of time and cost. This study is classified from the aspect of equivalent load based on inherent strain near the weld line. Therefore, the residual deformation can be simply computed by elastic analysis. Further more, a practical solution is proposed to consider the contact between the plate and the positioning jig by judging the reaction forces of the jig at calculation step and the effect of the longitudinal curvature is closely considered.

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