• 제목/요약/키워드: Plastic element

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3차원 유한요소 한계해석을 이용한 관통균열 배관의 소성한계하중 (Plastic Limit Loads for Through-Wall Cracked Pipes Using 3-D Finite Element Limit Analyses)

  • 허남수;김영진
    • 대한기계학회논문집A
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    • 제30권5호
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    • pp.568-575
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    • 2006
  • The present paper provides plastic limit load solutions of axial and circumferential through-wall cracked pipes based on detailed three-dimensional (3-D) finite element (FE) limit analysis using elastic-perfectly-plastic behavior. As a loading condition, axial tension, global bending moment, internal pressure, combined tension and bending and combined internal pressure and bending are considered for circumferential through-wall cracked pipes, while only internal pressure is considered for axial through-wall cracked pipes. Especially, more emphasis is given for through-wall cracked pipes subject to combined loading. Comparisons with existing solutions show a large discrepancy in short through-wall crack (both axial and circumferential) for internal pressure. In the case of combined loading, the FE limit analyses results show thickness effect on limit load solutions. Furthermore, the plastic limit load solution for circumferential through-wall cracked pipes under bending is applied to derive plastic $\eta\;and\;{\gamma}$-factor of testing circumferential through-wall cracked pipes to estimate fracture toughness. Being based on detailed 3-D FE limit analysis, the present solutions are believed to be meaningful fur structural integrity assessment of through-wall cracked pipes.

소성 이방성이 박판의 주름 발생에 미치는 영향 (The effect of plastic anisotropy on wrinkling behavior of sheet metal)

  • 양동열
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1999년도 춘계학술대회논문집
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    • pp.14-17
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    • 1999
  • The wrinkling behavior of a thin sheet with perfect geometry is a kind of compressive instability. The compressive instability is influenced by many factors such as stress state mechanical properties of the sheet material geometry of the body contact conditions and plastic anisotropy. The analysis of compressive instability in plastically deforming body is difficult considering all the factors because the effects of the factors are very complex and the instability behavior may show wide variation for small deviation of the factors. In this study the bifurcation theory is introduced for the finite element analysis of puckering initiation and growth of a thin sheet with perfect geometry. All the above mentioned analysis and the post-bifurcation behavior is analyzed by introducing the branching scheme proposed by Riks. The finite element formulation is based on the incremental deformation theory and elastic-plastic material modeling. in order to investigate the effect of plastic anisotropy on the compressive instability a square plate that is subjected to compression in one direction and tension in the other direction is analyzed by the above-mentionedfinite element analysis. The critical stress ratios above which the buckling does not take place are found for various plastic anisotropic modeling method and discussed. Finally the effect of plastic anisotropy on the puckering behavior in the spherical cup deep drawing process is investigated.

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소성 대변형 및 이방성 손상의 유한요소해석 (Finite Element Analysis for Plastic Large Deformation and Anisotropic Damage)

  • 노인식;임상전
    • 대한조선학회논문집
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    • 제30권1호
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    • pp.145-156
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    • 1993
  • 대변형, 대회전, 대변형도 문제를 고려한 탄소성-손상 유한요소 정식화 과정을 연구함으로써 구조물의 모든 비선형 거동 및 손상을 합리적으로 예측할 수 있는 수치모형을 개발하였다. 재료의 소성 변형과정에서 발생되는 손상을 합리적으로 고려하기 위하여 연속체 손상역학의 접근방법을 이용하여 구성방정식을 정식화하였으며 Updated Lagrangian 정식화방법, 호장증분법 등의 비선형 강성방정식 해법을 적용하여 2차원 평면문제를 대상으로 하는 탄소성-손상 유한요소해석 프로그램을 구성하였다. 여러가지 예제 계산을 통하여 이 수치모형의 적용성 및 타당성을 검토한 결과 대변형 문제, 손상을 포함하는 재료 비선형문제 공히 합리적인 해석결과를 제시하고 있슴을 확인할 수 있었다.

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Plastic behavior of circular discs with temperature-dependent properties containing an elastic inclusion

  • Zarandi, Somayeh Bagherinejad;Wang, Yun-Che;Novozhilova, Olga V.
    • Structural Engineering and Mechanics
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    • 제58권4호
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    • pp.731-743
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    • 2016
  • Plastic behaviors, based on the von Mises yield criterion, of circular discs containing a purely elastic, circular inclusion under uniform temperature loading are studied with the finite element analysis. Temperature-dependent mechanical properties are considered for the matrix material only. In addition to analyzing the plane stress and plane strain disc, a 3D thin disc and cylinder are also analyzed to compare the plane problems. We determined the elastic irreversible temperature and global plastic collapse temperature by the finite element calculations for the plane and 3D problem. In addition to the global plastic collapse, for the elastically hard case, the plane stress problem and 3D thin disc may exhibit a local plastic collapse, i.e. significant pile up along the thickness direction, near the inclusion-matrix interface. The pileup cannot be correctly modeled by the plane stress analysis. Furthermore, due to numerical difficulties originated from large deformation, only the lower bound of global plastic collapse temperature of the plane stress problem can be identified. Without considerations of temperature-dependent mechanical properties, the von Mises stress in the matrix would be largely overestimated.

Prediction of fully plastic J-integral for weld centerline surface crack considering strength mismatch based on 3D finite element analyses and artificial neural network

  • Duan, Chuanjie;Zhang, Shuhua
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제12권1호
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    • pp.354-366
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    • 2020
  • This work mainly focuses on determination of the fully plastic J-integral solutions for welded center cracked plates subjected to remote tension loading. Detailed three-dimensional elasticeplastic Finite Element Analyses (FEA) were implemented to compute the fully plastic J-integral along the crack front for a wide range of crack geometries, material properties and weld strength mismatch ratios for 900 cases. According to the database generated from FEA, Back-propagation Neural Network (BPNN) model was proposed to predict the values and distributions of fully plastic J-integral along crack front based on the variables used in FEA. The determination coefficient R2 is greater than 0.99, indicating the robustness and goodness of fit of the developed BPNN model. The network model can accurately and efficiently predict the elastic-plastic J-integral for weld centerline crack, which can be used to perform fracture analyses and safety assessment for welded center cracked plates with varying strength mismatch conditions under uniaxial loading.

벤더엘레먼트와 단순전단시험에 의한 비소성실트의 강성 비교 (Stiffness Comparison of Non-plastic Silt due to Bender Element and Direct Simple Shear Test)

  • 송병웅;야스하라 카즈야;사카모토 와타루;이제우
    • 한국지반환경공학회 논문집
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    • 제8권1호
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    • pp.41-47
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    • 2007
  • 최근 지진에 의한 액상화 피해를 입은 지역에서의 조사결과에 의하면 모래지반 뿐만 아니라 세립분을 함유한 흙 또는 비소성실트 지반에서도 액상화 피해사례가 보고되고 있으나, 지금까지 액상화는 느슨한 포화 모래지반에서 발생하는 것으로만 알려져 비소성실트의 액상화특성에 대하여 거의 알려져 있지 않다. 특히, 액상화강도는 전단탄성파속도와 밀접한 관계가 있어 현장에서는 PS검층 등을 이용하여 원위치에서 흙의 강성을 조사하며, 실내 실험에서는 정확한 흙의 강성을 조사하기 위하여 벤더엘레먼트를 이용한다. 본 연구에서는 단순전단시험기에 벤더엘레먼트를 장착하여 비소성실트의 강성을 조사하였으며 단순전단시험 결과와 비교하였다. 그 결과 벤더엘레먼트에 의한 비소성실트의 강성은 단순전단시험결과보다 약간 크게 나타나지만 그 차이는 적으며, 점토의 강성보다 작은 것을 알 수 있었다.

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TAFEM을 이용한 터널 예제 해석

  • 조선규;정재동;엄종욱
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 1991년도 추계학술발표회 논문집 지반공학에서의 컴퓨터 활용 COMPUTER UTILIZATION IN GEOTECHNICAL ENGINEERING
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    • pp.216-232
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    • 1991
  • This Finite Element Program(TAFEM) has been developed to be able to carry out the structural analsis of tunnel section and simulate the surrounding ground behaviour due to New Austrian Tunnelling Method, of which main support is the surrounding ground, itself. The Elasto-plastic theory has been applied. The used finite elements are 8-noded isoparametric element(rock & shotcrete), 2 or 3-noded rod element(rock bolt) and infinite boundary element. The load incremental method and tangential stiffness method has been used. Associated flow rule was applied to plastic flow and yield criteria inclued not only Mohr-Coulomb but also Drucker-Prager. In this paper, Drucker-Prager yield criterion has been used. The relationship between plastic strain and stress is based on the incremental strain concept and stress-strain equation on the basis of the stress path of each gauss point has been adopted. It may be rational that rock is considered to be no-tension material, so that no-tension analysis has been adopted in accordance with the brittle fracture constitutive equation.

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되풀이 균열 선단 열림 변위를 이용한 피로 균열 열림 거동 예측을 위한 유한 요소 해석 (Finite Element Analysis for the Prediction of Fatigue Crack Opening Behavior Using Cyclic Crack Tip Opening Displacement)

  • 최현창
    • 대한기계학회논문집A
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    • 제30권11호
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    • pp.1455-1460
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    • 2006
  • The relationship between fatigue crack growth behavior and cyclic crack tip opening displacement is studied. An elastic-plastic finite element analysis (FEA) is performed to examine the growth behavior of fatigue crack, where the contact elements are used in the mesh of the crack tip area. We investigate the relationship between the reversed plastic zone size and the changes of the cyclic crack tip opening displacement along the crack growth. We investigate the effect of the element size when predict fatigue crack opening behavior using the cyclic crack tip opening displacement obtained from FEA. The cyclic crack tip opening displacement is related to fatigue crack opening behavior.

외연적 탄소성 유한요소해석에서의 민감도 해석과 준정적 변형에의 응용 (Sensitivity Analysis of the Explicit Elasto-plastic Finite Element Method and Application to the Quasi-static Deformation)

  • 김세호;허훈
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집C
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    • pp.402-407
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    • 2001
  • Sensitivity analysis scheme is developed in the elasto-plastic finite element method with explicit time integration using direct differentiation method. The direct differentiation is concerned with the time integration, constitutive relation, shell element with reduced integration and the contact scheme. Sensitivity analysis results are mainly examined with the highly nonlinear and quasi-static problem with the complicated contact condition. The result shows stable sensitivity especially in the sheet metal forming analysis.

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Numerical Analysis for Prediction of Fatigue Crack Opening Level

  • Choi, Hyeon Chang
    • Journal of Mechanical Science and Technology
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    • 제18권11호
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    • pp.1989-1995
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    • 2004
  • Finite element analysis(FEA) is the most popular numerical method to simulate plasticity-induced fatigue crack closure and can predict fatigue crack closure behavior. Finite element analysis under plane stress state using 4-node isoparametric elements is performed to investigate the detailed closure behavior of fatigue cracks and the numerical results are compared with experimental results. The mesh of constant size elements on the crack surface can not correctly predict the opening level for fatigue crack as shown in the previous works. The crack opening behavior for the size mesh with a linear change shows almost flat stress level after a crack tip has passed by the monotonic plastic zone. The prediction of crack opening level presents a good agreement with published experimental data regardless of stress ratios, which are using the mesh of the elements that are in proportion to the reversed plastic zone size considering the opening stress intensity factors. Numerical interpolation results of finite element analysis can precisely predict the crack opening level. This method shows a good agreement with the experimental data regardless of the stress ratios and kinds of materials.