• 제목/요약/키워드: Free Edge

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Three-dimensional and free-edge hygrothermal stresses in general long sandwich plates

  • Ahmadi, Isa
    • Structural Engineering and Mechanics
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    • 제65권3호
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    • pp.275-290
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    • 2018
  • The hygrothermal stresses in sandwich plate with composite faces due to through the thickness gradient temperature and (or) moisture content are investigated. The layer-wise theory is employed for formulation of the problem. The formulation is derived for sandwich plate with general layer stacking, subjected to uniform and non-uniform temperature and moisture content through the thickness of the plate. The governing equations are solved for free edge conditions and 3D stresses are investigated. The out of plane stresses are obtained by equilibrium equations of elasticity and by the constitutive law and the results for especial case are compared with the predictions of a 3D finite element solution in order to study the accuracy of results. The three-dimensional stresses especially the free edge effect on the distribution of the stresses is studied in various sandwich plates and the effect of uniform and non-uniform thermal and hygroscopic loading is investigated.

연단보강된 직교이방성 Channel 단면 압축재의 탄성국부좌굴 (Elastic Local Buckling for Orthotropic Channel Section Compression Members with Edge Stiffeners)

  • 최원창;정상균;윤순종
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2001년도 추계학술발표대회 논문집
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    • pp.91-94
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    • 2001
  • This paper presents the analytical investigation pertaining to the local buckling behavior of orthotropic channel section compression members stiffened with unsymmetric stiffeners at its free edges. In the analysis, tile edge stiffener is modeled as a beam element or a plate element. The result of both cases is presented in graphical form so that the effects of edge stiffeners on the local buckling strength of edge stiffened channel section member can be found.

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둥근 모서리를 갖는 절곡 자유돌출판의 유효폭 분석 (A Study on Effective Width of Press-Braked Steel Plates with a Free Edge)

  • 최병호;조광일;김태봉
    • 한국강구조학회 논문집
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    • 제28권5호
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    • pp.355-363
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    • 2016
  • 본 논문은 절곡 제작된 U형 단면 거더의 상부플랜지를 구성하는 자유돌출판의 좌굴거동 특성에 논하고자 한다. 절곡된 판 부재는 둥근 모서리를 가지므로 단면의 유효폭-두께비가 불명확하고 이에 따라 공칭 압축강도를 산정하는 데 모호한 면이 있다. 냉간성형에 의해 둥근 모서리를 갖는 자유돌출판의 등가유효폭을 평가하기 위해 3차원 유한요소해석을 수행하였다. 절곡에 따른 재료특성과 기하하적 특성을 반영하였다. 본 변수 해석적 연구로부터 각진 모서리를 갖는 일반적인 자유돌출판의 좌굴강도와 비교 분석하여 등가유효폭-두께비를 추정하였다. 국내 설계기준의 공칭 좌굴강도식이 근거하고 있는 이론식과의 비교를 통해 기준공식의 적용 방안에 대해 검토하였다.

직교이방성 적층판의 Hole단부의 3D 비선형 층간응력 해석 (3D Non-linear Analysis of Interlaminar Stress around the Hole Edge of Orthotropic Laminates)

  • 송관형
    • 한국해양공학회지
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    • 제18권5호
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    • pp.36-42
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    • 2004
  • Orthotropic laminates, such as [$0^{\circ}6$/$90^{\circ}6$]s and [$90^{\circ}6$/$0^{\circ}6$]s, were performed, using a commercial nonlinear finite element method. Interlaminar stress distributions, around the hole curve free-edge, were calculated. The delamination bearing strengths of pin joints were predicted, using the modified delamination failure criterion. These stress distributions were presented along the radial lines and around the free-edge of the hole. Further, three-dimensional non-linear contact analysis of orthotropic laminates was conducted to investigate the effect of friction. In this paper, laminates with a circular hole were taken to study interlaminar stresses the curved edge. This study may assist in the design of a thick composite laminate with mechanically pin joints.

복합재 적층판의 자유단 층간분리의 평가 (Evaluation of Free-Edge Delamination in Composite Laminates)

  • 김인권;공창덕;방조혁
    • Composites Research
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    • 제14권1호
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    • pp.8-14
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    • 2001
  • 복합재 적층판의 자유단 층간분리의 모드별 변형률 에너지 해방률을 구하는 간이 계산법을 제안하였다. 층간응력은 층간에서의 평형식으로부터 층간의멘트와 층간전단력으로 평가하였다. 적층판 자유단 층간분리의 변형은 일반화된 준3차원 고전적층이론에 의하여 계산하였다. 이 간이 계산법은 변형균 에너지 해방률의 세성분을 구하는 간편한 식으로 나타내었다 복합재 적층판이 일축인장을 받는 경우에 대하여 적층판 중앙면에 대칭과 비대칭인 층간분리가 발생한 경우에 대하여 해석을 행하였다. 해석결과는 가상분리진전법에 의한 유한요소해석결과와 잘 일치하였다.

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적층복합재의 자유단 박리에 대한 모드별 스트레인 에너지해방률의 간이계산법 (A Simplified Method for Determining Modal Strain Energy Release Rate of Free-Edge Delaminations in Laminated Composite)

  • 김택현;오택열;김인권
    • 대한기계학회논문집A
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    • 제21권3호
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    • pp.423-429
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    • 1997
  • A simplified method for determining the mode components of the strain energy release rate of free-edge delaminations in laminated composite is proposed. The interlaminar stresses are evaluated as an interface moment and interface shear forces that are obtained from the equilibrium equations at the interface between the adjacent layers. Deformation of an edge-delaminated laminate is calculated by using a generalized quasi-three dimensional classical laminated plate theory developed by the authors. The analysis provides closed-form expression for the three components of the strain energy release rate. Comparison of results with a finite element solution using the virtual crack closure technique shows good agreement. In the present study, laminated composite with stacking sequences of [30/-30/90]$_{s}$ were examined. The simple nature of the method makes it suitable for primary design analysis for the delaminations of laminated composite.e.

탄성 선형 경화 재료로 구성된 복합 구조물의 자유 경계면에서 나타나는 응력특이도 (The Free Edge Stress Singularity At An Interface of Bilinear Material Structure)

  • 정철섭
    • 전산구조공학
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    • 제10권3호
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    • pp.185-193
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    • 1997
  • 탄성 선형 경화 재료로 구성된 복합 구조물의 자유 경계면에서 나타나는 응력 특이도를 평면 변형률 상태에서 계산하였다. 자유 표면력 경계조건과 계면 연속조건을 만족해야하는 지배 탄성 방정식은 2점 경계치문제로 정의되며, 일반 고유치 문제의 해인 고유치가 응력 특이도가 될 것이다. 자유경계면 근처에서 응력 성분을 r/sup s-1/에 비례한다고 가정하여 특정한 s(고유치)를 구하는 고유치 문제를 뉴톤향상법과 사격법을 사용하여 수치적으로 해를 구하였다.

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수분 흡수로 인해 얇은 필름에 발생하는 계면 응력의 경계요소해석 (Boundary Element Analysis of Interface Stresses in a Thin Film Due to Moisture Absorption)

  • 이상순
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1999년도 봄 학술발표회 논문집
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    • pp.19-26
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    • 1999
  • This paper deals with the stress singularity induced at the interface corner between the viscoelastic thin film and the rigid substrate as the film absorbs moisture from the ambient environment. The rime-domain boundary element method is employed to investigate the behavior of interface stresses. The order of the free-edge singularity is obtained numerically for a given viscoelastic model. It is shown that the free-edge stress intensity factor is relaxed with time,'while the order of the singularity increases with time for the viscoelastic model considered.

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반도체 칩의 접착계면에 발생하는 열응력 해석 (Analysis of Thermal Stresses Developed in Bonding Interface of Semiconductor Chip)

  • 이상순
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1999년도 가을 학술발표회 논문집
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    • pp.437-443
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    • 1999
  • This paper deals with the stress singularity induced at the interface corner between the viscoelastic thin film and the rigid substrate subjected to uniform temperature change. The viscoelastic film has been assumed to be thermorheologically simple. The time-domain boundary element method(BEM) has been employed to investigate the behavior of interface stresses. The order of the free-edge singularity has been obtained numerically for a given viscoelastic model. It is shown that the free-edge stress intensity factor is relaxed with time, while the order of the singularity increases with time for the viscoelastic model considered.

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ON THE RESIDUAL FINITENESS OF FUNDAMENTAL GROUPS OF GRAPHS OF CERTAIN GROUPS

  • Kim, Goansu
    • 대한수학회지
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    • 제41권5호
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    • pp.913-920
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    • 2004
  • We give a characterization for fundamental groups of graphs of groups amalgamating cyclic edge subgroups to be cyclic subgroup separable if each pair of edge subgroups has a non-trivial intersection. We show that fundamental groups of graphs of abelian groups amalgamating cyclic edge subgroups are cyclic subgroup separable, hence residually finite, if each edge subgroup is isolated in its containing vertex group.