• 제목/요약/키워드: Plane Stress

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새로운 평면변형률 시험장비의 개발과 적용성 검증 (A Newly-developed Plane Strain Testing Device and Its Applicability)

  • 김창엽;이용선;정충기
    • 한국지반공학회논문집
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    • 제22권1호
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    • pp.5-14
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    • 2006
  • 본 연구에서는 평면변형률조건하에서 발생 가능한 다양한 응력조건을 보다 자유롭게 구현할 수 있는 간편한 형태의 평면변형률 시험장비를 새롭게 개발하였다. 개발된 시험장비의 적용성은 먼저 이상화된 가정조건하에서 이론적으로 검토되었으며, 실제 점성토시료에 대한. 일련의 평면변형률시험을 통해 실험적으로 확인 검증되었다. 그 결과 개발된 시험장비는 기존의 평면변형률 시험장비들에 비해 광범위한 적용성을 가지고 있음을 확인할 수 있었다. 또한 개발된 시험장비는 일반적인 삼축시험용 재하장치만으로도 다양한 응력조건에 대한 평면변형률시험이 가능하므로, 향후 관련분야에서 그 활용도가 매우 높을 것으로 기대된다.

복합재료 회전원판의 면내응력 해석 (In-plane Stress Analysis of Rotating Composite Disks)

  • 구교남
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2005년도 춘계학술발표대회 논문집
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    • pp.176-179
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    • 2005
  • Rotating annular disks are widely used in data storage devices such as CDs, DVDs(digital versatile disks), and HDs(hard disks) as well as in traditional industrial machines like sawing machines, turbines, brake disks. The exact stress distribution of rotating polar orthotropic disk is derived by solving directly the equilibrium equation instead of using stress function. Stress distributions for typical GFRP and CFRP disks are presented in addition to polycarbonate disk. The results show that the application of CFRP to rotating disk can increase the maximum allowable rotating speed but this may not be applicable to GFRP disk.

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내압과 내면 굽힘하중 조건에서 곡관의 거동에 미치는 굽힘각의 영향 (Effect of Bend Angle on the Behavior of pipe Bend under Internal Pressure and In-Plane Bending toads)

  • 김진원;나만균
    • 한국안전학회지
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    • 제20권2호
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    • pp.18-25
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    • 2005
  • This study performed finite element analysis on the pipe bend with various bend angles under loading conditions of internal pressure and combined pressure and bending, to investigate the effect of bend angle on the collapse behavior of pipe bend and on the stress state in the bend region. In the analysis, the pipe bends with bend angle of $5\~90^{\circ}$ were considered, and the bending moment was applied as in-plane closing and opening modes. From the results of analysis, it was found that the collapse moment of pipe bend increases with decreasing bend angle. As the bend angle decreases, also, the equivalent stress at intrados region increases regardless of bending mode. Under closing mode bending especially, the increase in stress at intrados is significant so that the maximum stress region moves from crown to intrados with decreasing bend angle.

平面應力狀態 에서 균열先端 의 小規模降伏 에 관한 有限要素解析 (Finite Element Analysis on the Small Scale Yielding of a Crack Tip in Plane Stress)

  • 임장근;맹주성;김병용
    • 대한기계학회논문집
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    • 제7권3호
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    • pp.270-277
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    • 1983
  • Plastic plane stress solutions are given for a center cracked strip, characterized by the Ramberg-Osgood plastic index, under bi-axial tension. Using a power law hardening stress-strain relation, an incremental plasticity finite element formulation is developed, and simple formulation is given for computing J-integral with nodal displacements. The near tip angular distribution of von Mises effective stress doesn't differ significantly in magnitude according to the change of loading stress and bi-axial load combination factor. But, for smaller plastic index, the location of its maximum value moves vertically at a head of crack. J-integral value, in the plastic zone near crack tip, decreases with load combination factor for large and small plastic index.

특이 접촉응력 문제의 형상 최적화 (Geometric Optimization Involving Contact Stress Singularities)

  • 박정선;이수용
    • 대한기계학회논문집A
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    • 제20권1호
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    • pp.180-188
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    • 1996
  • The stress singularity of a sharp wedge contacting a half plane can be avoided by changing the wedge shape. Shape optimization is accomplished with the geometric strain method (GSM), an optimality criterion method. Several numerical examples are provided for different materials in the wedge and half plane to avoid stress singularity neal the sharp corner of the wedge. Optimum wedge shapes are obtained and critical corner angles are compared with the angles from analytical contact mechanics. Numerical results are well matched to analytical and experimental results. It is shown that shape optimization by the geometric strain method is a useful tool to reshape the wedge and to avoid a stress singulatiry. The method applies to more general geometries where the singular behavior would be difficult to avoid by classical means.

Analysis of a three-dimensional FEM model of a thin piezoelectric actuator embedded in an infinite host structure

  • Zeng, Xiaohu;Yue, Zhufeng;Zhao, Bin;Wen, S.F.
    • Advances in materials Research
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    • 제3권1호
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    • pp.237-257
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    • 2014
  • In this paper, we adopted a two-dimensional analytical electro-elastic model to predict the stress distributions of the piezoelectric actuator in 3D case. The actuator was embedded in an elastic host structure under electrical loadings. The problem is reduced to the solution of singular integral equations of the first kind. The interfacial stresses and the axial normal stress in both plane stress state and plane strain state were obtained to study the actuation effects being transferred from the actuator to the host. The stress distributions of the PZT actuator in different length and different thickness were analyzed to guarantee the generality. The validity of the present model has been demonstrated by application of specific examples and comparisons with the corresponding results obtained from the Finite Element Method.

용접 잔류응력 해석을 위한 Heat Input Model 개발 (Modeling of Welding Heat Input for Residual Stress Analysis)

  • 심용래;이성근
    • Journal of Welding and Joining
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    • 제11권3호
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    • pp.34-47
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    • 1993
  • 용접에서 발생하는 열응력 및 잔류응력을 해석하기 위한 유한요소용 모델을 개발하였다. 여러 가 지 변수의 연구를 통하여 Ramp heat input function과 Lumped모델을 제시하였다. 용접부에 열입 력을 점차적으로 주기 위하여 Ramp heat input을 이용하였으며 Ramp input을 통하여 이차원 모 델에서의 이동열원의 영향을 고려하였고 실험치와 비교에서 최적 ramp시간을 결정하였다. 다층용 접에서는 용접 pass 에 비례하여 계산시간이 증가한다. 따라서 후판용접의 잔류응력계산에는 막 대한 계산시간이 필요하며 이를 줄이기 위하여 Lumped 모델을 개발하였다. 이 Lumped모델에서 는 각 용접층에 들어있는 용접 pass들을 하나의 lumped pass으로 이용하였으며 각 pass를 따로 계산한 모델 및 시험치와의 비교를 통하여 최적 lumped technique을 제시하였다. *****Finite element models were developed for thermal and residual stress analysis for the specific welding problems. They were used to evaluate the effectiveness of the various welding heat input models, such as ramp heat input function and lumped pass models. Through the parametric studies, thermal-mechanical modeling sensitivity to the ramp function and lumping techniques was determined by comparing the predicted results with experimental data. The kinetics for residual stress formation during welding can be developed by iteration of various proposed mechanisms in the parametric study. A ramp heat input function was developed to gradually apply the heat flux with variable amplitude to the model. This model was used to avoid numerical convergence problems due to an instantaneous increase in temperature near the fusion zone. Additionally, it enables the model to include the effect of a moving arc in a two-dimensional plane. The ramp function takes into account the variation in the out of plane energy flow in a 2-D model as the arc approaches, travels across, and departs from each plane under investigation. A lumped pass model was developed to reduce the computation cost in the analysis of multipass welds. Several weld passes were assumed as one lumped pass in this model. Recommendations were provided about ramp lumping techniques and the optimum number of weld passes that can be combined into a single thermal input.

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THE EFFECTS OF POSTERIOR RETRACTION ON THE DISPLACEMENT OF THE MAXILLA

  • Yoo, Bo-Yeong;Kim, Jong-Chul
    • 대한치과교정학회지
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    • 제26권6호
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    • pp.691-703
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    • 1996
  • Three-dimensional finite element model was made from adult skull to find desirable direction of retraction force to treat skeletal class II malocclusion. The retraction force of 400g was applied to the first molar. The direction of the force application was $23^{\circ}$ downward, parallel, $23^{\circ}$ upward and $45^{\circ}$ upward to the occlusal plane. The stress distribution and the displacement within the maxilla were analyzed by three-dimensional finite element method. The findings obtained were as follows: 1. Maxillary first molar was displaced posteriorly and inferiorly in $23^{\circ}$ downward, parallel, $23^{\circ}$ upward retraction but it was displaced posteriorly and superiorly in $45^{\circ}$ upward retraction. 2. ANS, A point and prosthion were moved posteriorly and inferiorly and pterygomaxillary fissure was moved posteriorly and superiorly. Clockwise rotation of maxilla occurred when retraction force was applied. 3. The degree of clockwise rotation of maxilla was greatest when the force was applied $23^{\circ}$ upward to the occlusal plane and was least when the force was applied $23^{\circ}$ downward to the occlusal plane. 4. Large tensile stress appeared in maxillary first molar and alveolar bone and the infraorbital region of maxilla when the force was applied $23^{\circ}$ downward to the occlusal plane. Tensile stress was smaller as the direction of force move upward. 5. Large compressive stress was appeared in maxillary first molar and infraorbital region in $45^{\circ}$ upward case and large compressive stress occurred in the posterior part of maxilla as the retraction force was upward.

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유한요소법에 의한 하악제 1 대구치의 Cervical Traction의 효과에 관한 역학적 연구 (A FINITE ELEMENT ANALYSIS OF THE DISPLACEMENT AND STRESS DISTRIBUTION OF HUMAN DRY MANDIBLE DURING THE MANDIBULAR FIRST MOLAR CERVICAL TRACTION)

  • 안의영;정규림
    • 대한치과교정학회지
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    • 제19권1호
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    • pp.45-59
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    • 1989
  • This study was undertaken to analyze the displacement and stress distribution in the mandible according to the pulling directions during mandibular first molar cervical traction after mandibular second molar extraction. The 3-dimensional finite element method(FEM) was used for a mathematical model composed of 594 elements and 1019 nodes. An orthodontic force, 450 gm, was applied to the each mandibular first molar in parallel, and below the occlusal plane by $7^{\circ}\;and\;25^{\circ}$ and meet the midsagittal plane by $40^{\circ}$ toward posterior direction. The results were as follows: 1. Mandibular teeth were displaced in more downward, posterior and lateral direction. Especially high stress was noted in case of parallel pull than in case of below the occlusal plane by $7^{\circ}\;and\;25^{\circ}$. 2. Mandibular first molar was moved bodily. 3. Generally, alveolar bone, mandibular body, ascending ramus and mandibular angle portion were displaced in downward, posterior and lateral direction. But coronoid process was displaced in downward, forward and lateral direction, and anterior and inner middle portion of condyle head and neck were displaced in downward, forward and medial direction, and posterior and outer middle portion of condyle head and neck were displaced in upward, forward and medial direction. 4. Maximum stress was observed at the condyle head and neck portion. With steeper direction of force, condyle head and neck showed more stress than parallel relation to the occlusal plane.

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平面應力 破壞靭性値 擧動에 관한 硏究 (A Study on the Behavior of the Plane Stress Fracture Toughness - About the Compact Tension Specimen-)

  • 송삼홍;고성위
    • 대한기계학회논문집
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    • 제10권6호
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    • pp.937-946
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    • 1986
  • 본 논문에서는 이와 같은 점을 고려하여 두께가 얇은 평면응력 상태의 CT 시 험편을 이용하여 W와 z의 변화에 따른 파괴인성치와 J저항곡선의 거동 및 크랙성장을 고려한 J적분식도 검토하였다. 또한, 재료를 변형경화 재료로 가정하고 HRR 응력변 형율장의 특성을 이용하여 컴퓨터 프로그램을 작성하여 J적분을 구한 후 실험치와 상 호 비교 검토하였다. 이 때 사용한 입력자료는 실험치의 그것과 동일하게 하였다.