• 제목/요약/키워드: Critical Plane

검색결과 496건 처리시간 0.027초

임계면법을 이용한 횡등방성 암석의 이방성 인장강도 해석 (An Investigation of Anisotropic Tensile Strength of Transversely Isotropic Rock by Critical Plane Approach)

  • 이연규
    • 터널과지하공간
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    • 제18권3호
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    • pp.194-201
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    • 2008
  • 횡등방성 암석의 인장강도 특성 해석을 위하여 새로운 이방성 인장파괴함수를 제안하였다. 제안된 함수에서 인장강도는 연약면과 수직한 방향에서 최소가 되며 연약면과 평행한 방향쪽으로 지수함수적으로 증가하면서 최대값에 수렴된다. 제안된 이방성 인장파괴함수는 실험적으로 측정이 가능한 3개의 강도정수로 정의된다. 제안된 함수를 임계면법에 적용하여 연약면의 방향성에 따른 횡등방성 암석의 인장강도 및 파괴면의 방향을 탐색할 수 있는 수치해석적 기법을 제시하였다. 문헌에 보고된 횡등방성 암석의 직접인장시험 결과를 모사함으로써 제안된 방법의 적합성을 검토하였다. 수치해석결과와 직접인장시험 결과는 전반적으로 유사한 결과를 보여주었다.

이축 변동하중하에서의 피로수명 예측기법에 관한 연구 (The Study on Fatigue Life Prediction under Biaxial Variable Load)

  • 오세종;이현우;전제춘
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1993년도 추계학술대회 논문집
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    • pp.666-671
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    • 1993
  • Fatigue life prediction under multi-axial variable load were performed for Aluminium 7075-T651 alloy using SAE Notched specimen & Torque tube shaft component specimen. When variable multiaxial load is applied to material, maximum damaged plane(critical plane) change. To clarify the situation, experiment is performed on two different changing load path. For multiaxial fatigue life prediction, miner rule is expanded to critical plane theory. Shear based parameter and Elliptical parameter give better correlation. This suggests that miner rule can be applicable on multi-axial variable load.

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Nonlinear wind-induced instability of orthotropic plane membrane structures

  • Liu, Changjiang;Ji, Feng;Zheng, Zhoulian;Wu, Yuyou;Guo, Jianjun
    • Wind and Structures
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    • 제25권5호
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    • pp.415-432
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    • 2017
  • The nonlinear aerodynamic instability of a tensioned plane orthotropic membrane structure is theoretically investigated in this paper. The interaction governing equation of wind-structure coupling is established by the Von $K\acute{a}rm\acute{a}n's$ large amplitude theory and the D'Alembert's principle. The aerodynamic force is determined by the potential flow theory of fluid mechanics and the thin airfoil theory of aerodynamics. Then the interaction governing equation is transformed into a second order nonlinear differential equation with constant coefficients by the Bubnov-Galerkin method. The critical wind velocity is obtained by judging the stability of the second order nonlinear differential equation. From the analysis of examples, we can conclude that it's of great significance to consider the orthotropy and geometrical nonlinearity to prevent the aerodynamic instability of plane membrane structures; we should comprehensively consider the effects of various factors on the design of plane membrane structures; and the formula of critical wind velocity obtained in this paper provides a more accurate theoretical solution for the aerodynamic stability of the plane membrane structures than the previous studies.

미분구적법(DQM)을 이용한 곡선보의 내평면 좌굴해석 (In-Plane Buckling Analysis of Curved Beams Using DQM)

  • 강기준;김영우
    • 한국산학기술학회논문지
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    • 제13권7호
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    • pp.2858-2864
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    • 2012
  • 곡선보 (curved beam)의 내평면 모멘트 및 등분포하중 하에서 평면내 (in-plane) 좌굴 (buckling)을 미분구적법(DQM)을 이용하여 해석하였다. 다양한 경계조건 (boundary conditions)과 굽힘각 (opening angles)에 따른 임계모멘트 및 임계하중을 계산하였다. DQM의 해석결과는 해석적 해답 (exact solution) 결과와 비교하였으며, DQM은 적은 요소 (grid points)를 사용하여 정확한 해석결과를 보여주었다. 두 경계조건(고정-고정, 단순지지-고정)하에서 새 결과를 또한 제시하였다.

미분구적법(DQM)을 이용한 곡선보의 외평면 좌굴해석 (Out-of-Plane Buckling Analysis of Curved Beams Using DQM)

  • 강기준
    • 한국안전학회지
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    • 제17권4호
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    • pp.189-195
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    • 2002
  • I-단면 곡선보 (curved beam)의 모멘트 하중 하에서 비틀림(warping)을 포함한 평면외 (out-of-plane)의 좌굴을 미분구적법 (DQM)을 이용하여 해석하였다. 다양한 경계조건(boundary conditions) 및 굽힘각(opening angles)에 따른 임계모멘트 (critical moments)를 계산하고, DQM의 해석결과는 해석적 해답 (exact solution) 과 비교 분석하였다. DQM은 적은 요소(grid points)를 사용하여 정확한 해석결과를 보여주었고, 두 경계조건 (고정-고정, 고정-단순지지)하에서 새로운 결과 또한 제시하였다.

DQM을 이용한 아치의 좌굴해석 (Buckling Analysis of Arches Using DQM)

  • Ji-Won Han;Ki-Jun Kang
    • 한국안전학회지
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    • 제12권4호
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    • pp.220-229
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    • 1997
  • 곡선보(curved beam)의 등분포 하중하에서 평면내(in-plane)와 평면의(out-of-plane)의 좌굴(buckling)을 해석하는데 differential quadrature method (DQM)을 이용하여 다양한 경계조건(boundary conditions)과 굽힘각(opening angles)에 따른 입계하중(critical loads)을 계산하였다. DQM의 해석결과는 해석적 해답(exact solution) 또는 다른 수지해석 결과와 비교하였으며, DQM은 적은 요소(grid points)를 사용하여 정확한 해석결과를 보여주었다. 두 경계조건(고정-고정, 고정-단순지지)하에서 새로운 결과를 또한 제시하였다.

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Analytical solutions for crack initiation on floor-strata interface during mining

  • Zhao, Chongbin
    • Geomechanics and Engineering
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    • 제8권2호
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    • pp.237-255
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    • 2015
  • From the related engineering principles, analytical solutions for horizontal crack initiation and propagation on a coal panel floor-underlying strata interface due to coal panel excavation are derived in this paper. Two important concepts, namely the critical panel width of horizontal crack initiation on the panel floor-underlying strata interface and the critical panel width of vertical fracture (crack) initiation in the panel floor, have been presented. The resulting analytical solution indicates that: (1) the first criterion can be used to express the condition under which horizontal plane cracks (on the panel floor-underlying strata interface or in the panel floor because of delamination) due to the mining induced vertical stress will initiate and propagate; (2) the second criterion can be used to express the condition under which vertical plane cracks (in the panel floor) due to the mining induced horizontal stress will initiate and propagate; (3) this orthogonal set of horizontal and vertical plane cracks, once formed, will provide the necessary weak network for the flow of gas to inrush into the panel. Two characteristic equations are given to quantitatively estimate both the critical panel width of vertical fracture initiation in the panel floor and the critical panel width of horizontal crack initiation on the interface between the panel floor and its underlying strata. The significance of this study is to provide not only some theoretical bases for understanding the fundamental mechanism of a longwall floor gas inrush problem but also a benchmark solution for verifying any numerical methods that are used to deal with this kind of gas inrush problem.

스테인레스강 저주기 피로 수명 분포의 추계적 모델링

  • 이봉훈;이순복
    • 한국신뢰성학회:학술대회논문집
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    • 한국신뢰성학회 2000년도 춘계학술대회 발표논문집
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    • pp.213-222
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    • 2000
  • In present study, a stochastic model is developed for the low cycle fatigue life prediction and reliability assessment of 316L stainless steel under variable multiaxial loading. In the proposed model, fatigue phenomenon is considered as a Markov process, and damage vector and reliability are defined on every plane. Any low cycle fatigue damage evaluating method can be included in the proposed model. The model enables calculation of statistical reliability and crack initiation direction under variable multiaxial loading, which are generally not available. In present study, a critical plane method proposed by Kandil et al., maximum tensile strain range, and von Mises equivalent strain range are used to calculate fatigue damage. When the critical plane method is chosen, the effect of multiple critical planes is also included in the proposed model. Maximum tensile strain and von Mises strain methods are used for the demonstration of the generality of the proposed model. The material properties and the stochastic model parameters are obtained from uniaxial tests only. The stochastic model made of the parameters obtained from the uniaxial tests is applied to the life prediction and reliability assessment of 316L stainless steel under variable multiaxial loading. The predicted results show good accordance with experimental results.

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실린더형 패드와 평판 시험편간 프레팅 피로의 접촉폭 크기효과에 관한 평가 (Estimation on a Contact Size Effect in Fretting Fatigue Between Cylindrical Pad and Flat Specimen)

  • 김진광;조상봉
    • 한국정밀공학회지
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    • 제25권6호
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    • pp.116-125
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    • 2008
  • In general, fretting is a contact damage process due to micro-slip associated with small amplitude oscillatory movement between two surfaces in contact. Previous studies in fretting fatigue have observed a contact size effect related to contact width. The volume-averaging method of theoretically predicted contact stress fields was required to emulate experimental trends and to predict the observed contact size effects. This contact size effect is captured by the mean values of stresses and strains at the element integration points of FE model and two critical plane models (SWT, FS) in the present paper. It is shown that crack nucleation and fretting fatigue life can be predicted by the FE-based critical plane models.

파괴인성시험의 유한요소 시뮬레이션 (Finite Element Simulation of Fracture Toughness Test)

  • 주석재;류총호
    • 대한기계학회논문집A
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    • 제37권4호
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    • pp.491-496
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    • 2013
  • 인장시험을 유한요소 시뮬레이션하여 등가응력-등가소성변형률 곡선, 임계 등가응력과 임계 등가소성변형률을 결정하였다. 그리고, 이 곡선을 입력하여 파괴시험을 유한요소 시뮬레이션하여 평면변형률 파괴인성치를 결정하여 보려고 하였다. 균열선단절점에서 등가소성변형률이 임계 등가소성변형률에 도달할 때 균열개구변위를 임계 균열개구변위로 취하여 균열성장조건으로 사용되었다. 임계 등가소성변형률이나 단면감소율과 파괴시험 임계 균열개구변위와 관련성을 찾아보고, 임계 등가응력과 임계 등가소성변형률을 동시에 적용하여 파괴시험 파괴인성치와의 관련성도 찾아보았다.