• 제목/요약/키워드: edge-cracked plate

검색결과 20건 처리시간 0.022초

탄소성 파괴역학적 건전성 평가 시스템의 개발 I (A Development of Integrity Evaluation System Based on Elastic Plastic Fracture Mechanics(I) - Specimen Cases -)

  • 김영진;최재붕;손상환;이주진;허용학
    • 대한기계학회논문집
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    • 제14권3호
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    • pp.646-655
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    • 1990
  • 본 연구에서는 EPIES 프로그램의 상세한 내용과 이를 이용한 5가지 파괴역학 시편에 대한 사례 연구에 대하여 보고하고자 한다.

Adaptive finite elements by Delaunay triangulation for fracture analysis of cracks

  • Dechaumphai, Pramote;Phongthanapanich, Sutthisak;Bhandhubanyong, Paritud
    • Structural Engineering and Mechanics
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    • 제15권5호
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    • pp.563-578
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    • 2003
  • Delaunay triangulation is combined with an adaptive finite element method for analysis of two-dimensional crack propagation problems. The content includes detailed descriptions of the proposed procedure which consists of the Delaunay triangulation algorithm and an adaptive remeshing technique. The adaptive remeshing technique generates small elements around the crack tips and large elements in the other regions. Three examples for predicting the stress intensity factors of a center cracked plate, a compact tension specimen, a single edge cracked plate under mixed-mode loading, and an example for simulating crack growth behavior in a single edge cracked plate with holes, are used to evaluate the effectiveness of the procedure. These examples demonstrate that the proposed procedure can improve solution accuracy as well as reduce total number of unknowns and computational time.

경계요소법을 이용한 응력세기계수의 해석법 (Analysis of Stress Intensity Factor Using Boundary Element Method)

  • 조희찬;김희송
    • 한국자동차공학회논문집
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    • 제1권2호
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    • pp.117-124
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    • 1993
  • This study is concerned with an application of the boundary element method on the crack problem. The stable and efficient analysis method of two dimensional elastostatic stress intensity factor on the mode I deformations is established from the result o stress analysis for the center cracked plates. In order to precisely analyse, The subelements of quadratic element, singular elements on the crack tip and interface and division into regions are applied to elastic stress. The usefulness of the method has been tested with a center cracked plates, a double edge cracked plate and a single edge cracked plate, and the results have turned out to be fairly satisfactory.

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An efficient adaptive finite element method based on EBE-PCG iterative solver for LEFM analysis

  • Hearunyakij, Manat;Phongthanapanich, Sutthisak
    • Structural Engineering and Mechanics
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    • 제83권3호
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    • pp.353-361
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    • 2022
  • Linear Elastic Fracture Mechanics (LEFM) has been developed by applying stress analysis to determine the stress intensity factor (SIF, K). The finite element method (FEM) is widely used as a standard tool for evaluating the SIF for various crack configurations. The prediction accuracy can be achieved by applying an adaptive Delaunay triangulation combined with a FEM. The solution can be solved using either direct or iterative solvers. This work adopts the element-by-element preconditioned conjugate gradient (EBE-PCG) iterative solver into an adaptive FEM to solve the solution to heal problem size constraints that exist when direct solution techniques are applied. It can avoid the formation of a global stiffness matrix of a finite element model. Several numerical experiments reveal that the present method is simple, fast, and efficient compared to conventional sparse direct solvers. The optimum convergence criterion for two-dimensional LEFM analysis is studied. In this paper, four sample problems of a two-edge cracked plate, a center cracked plate, a single-edge cracked plate, and a compact tension specimen is used to evaluate the accuracy of the prediction of the SIF values. Finally, the efficiency of the present iterative solver is summarized by comparing the computational time for all cases.

천이온도 상태에서의 J적분 (J-Integral under Transient Temperature State)

  • 이강용;박정수
    • 대한기계학회논문집
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    • 제15권6호
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    • pp.1781-1791
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    • 1991
  • 본 연구에서는 천이온도하에 있는 물체의 균열의 거동을 연구하기 위하여 선 적분 형태의 J적분을 유도하고 유한요소법으로 수치계산하여 기존의 결과와 비교한다. 한편 관성항과 재료의 물성치가 J적분값에 미치는 영향을 검토한다.

Analytical solutions for vibrations of rectangular functionally graded Mindlin plates with vertical cracks

  • Chiung-Shiann Huang;Yun-En Lu
    • Structural Engineering and Mechanics
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    • 제86권1호
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    • pp.69-83
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    • 2023
  • Analytical solutions to problems are crucial because they provide high-quality comparison data for assessing the accuracy of numerical solutions. Benchmark analytical solutions for the vibrations of cracked functionally graded material (FGM) plates are not available in the literature because of the high level of complexity of such solutions. On the basis of first-order shear deformation plate theory (FSDT), this study proposes analytical series solutions for the vibrations of FGM rectangular plates with side or internal cracks parallel to an edge of the plates by using Fourier cosine series and the domain decomposition technique. The distributions of FGM properties along the thickness direction are assumed to follow a simple power law. The proposed analytical series solutions are validated by performing comprehensive convergence studies on the vibration frequencies of cracked square plates with various crack lengths and under various boundary condition combinations and by performing comparisons with published results based on various plate theories and the theory of three-dimensional elasticity. The results reveal that the proposed solutions are in excellent agreement with literature results obtained using the Ritz method on the basis of FSDT. The paper also presents tabulations of the first six nondimensional frequencies of cracked rectangular Al/Al2O3 FGM plates with various aspect ratios, thickness-to-width ratios, crack lengths, and FGM power law indices under six boundary condition combinations, the tabulated frequencies can serve as benchmark data for assessing the accuracy of numerical approaches based on FSDT.

Stress intensity factors for an interface crack between an epoxy and aluminium composite plate

  • Itou, S.
    • Structural Engineering and Mechanics
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    • 제26권1호
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    • pp.99-109
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    • 2007
  • A cracked composite specimen, comprised of an epoxy and an aluminium plate, was fractured under a tensile load. In this paper, two crack configurations were investigated. The first was an artificial center crack positioned in the epoxy plate parallel to the material interface. The other was for two edge cracks in the epoxy plate, again, parallel to the interface. A tensile test was carried out by gradually increasing the applied load and it was verified that the cracks always moved suddenly in an outward direction from the interface. The d/a ratio was gradually reduced to zero, and it was confirmed that the maximum stress intensity factor value for the artificial center crack, $K_{{\theta}{\theta}}^{max}$, approached that of an artificial interface crack,$K_{{\theta}{\theta}}^{ifc\;max}$ (where: 2a is the crack length and d is the offset between the crack and interface). The same phenomenon was also verified for the edge cracks. Specifically, when the offset, d, was reduced to zero, the maximum stress intensity factor value, $K_{{\theta}{\theta}}^{max}$, approached that of an artificial interface edge crack.

양측균열인장(DE(T)) 평판의 J-적분 시험을 위한 소성 η계수 (Plastic η Eactors for J-Integral Testing of Double-Edge Cracked Tension(DE(T)) Plates)

  • 손범구;심도준;김윤재;김영진
    • 대한기계학회논문집A
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    • 제28권3호
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    • pp.259-266
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    • 2004
  • Detailed two-dimensional and three-dimensional finite element (FE) analyses of double-edge cracked tension (DE(T)) specimens are carried out to investigate the effect of the relative crack length and the thickness on experimental J testing schemes. Finite element analyses involve systematic variations of relevant parameters, such as the relative crack depth and plate width-to-thickness ratio. Furthermore, the strain hardening index of material is systematically varied, including perfectly plastic (non-hardening) cases. Based on FE results, a robust experimental J estimation scheme is proposed.

광탄성프린지 위상이동법을 이용한 에지균열판의 응력 해석 (Stress Analysis of an Edge-Cracked Plate by using Photoelastic Fringe Phase Shifting Method)

  • 백태현;김명수;조성호
    • 비파괴검사학회지
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    • 제20권3호
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    • pp.213-220
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    • 2000
  • 광탄성법은 투명한 물체에 힘을 가하면 복굴절 현상이 나타나며, 편광기에 의해 등색 및 등경프린지가 나타난다. 등색프린지를 이용하여 주응력차이 또는 평면상 전단응력을 계산할 수 있으며, 등경프린지에 의해 주응력 방향을 결정할 수 있다. 재래식 광탄성법에서는 특정한 위치에서 프린지를 개별적으로 측정해야 되는 불편한 점이 있어, 디지털 영상처리에 의해 광탄성 프린지로부터 전체적인 응력장을 해석할 수 있도록 프린지이동에 의한 위상이동법이 개발되었다. 프린지 위상이동법은 원형편광기에서 검광자를 $0^{\circ}$, $45^{\circ}$, $90^{\circ}$$135^{\circ}$회전시켜 프린지가 이동된 4개의 영상을 얻고, 이들로부터 위상차이로 나타나는 프린지분포를 측정한다. 본 연구에서는 프린지 위상이동법에 관한 광학적인 이론을 이용하여 압축하중을 받는 원형디스크의 프린지분포를 위상이동법으로 측정한 후 이론 값과 비교하였다. 또한, 인장하중을 받는 에지균열판의 응력분포 해석에 프린지 위상이동법을 적용하였다. 실험결과, 프린지 위상이동법으로 측정한 결과는 유한요소 해석 결과와 잘 일치하였다. 광탄성에서 위상이동법은 등경선과 평행하거나 직교하는 선상에서 응력 분포를 용이하게 측정할 수 있으나, 일반적인 프린지 해석시 프린지 위상이동법을 적용하면 오차가 포함될 수 있다.

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모서리균열이 있는 알루미늄판의 복합재 패치보수시 수명예측 연구 (Fatigue Life Prediction of Composite Patch for Edge Cracked Aluminum Plate)

  • 김위대
    • 한국항공우주학회지
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    • 제35권1호
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    • pp.52-57
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    • 2007
  • 노후항공기의 균열보수 방법 중 복합재를 이용한 균열보수 방법을 이용하여 항공기 알루미늄 재료의 피로수명 예측을 위해 유한요소해석을 이용 하였다. 패치보수의 해석 시에는 접착제 층이 매우 얇기 때문에 모델링의 어려움이 있는데, 본 연구에서는 3층 기법을 이용하여 해석을 수행하였다. 피로수명의 예측 시에는 Paris의 법칙을 적용하였고, 효율적 수명예측을 위해 수정된 균열닫힘법을 적용하였다. 해석에 의한 수명예측 결과는 실험치를 잘 모사할 수 있었으며, 항공기의 피로수명 예측이나 수명연장기법으로 활용될 수 있을 것으로 생각된다.