• 제목/요약/키워드: Parallel Crack

검색결과 142건 처리시간 0.033초

면외변형하의 이방성 띠판에 대한 동적계면균열 (Dynamic Interfacial Crack in Bonded Anisotropic Strip Under Out-of-Plane Deformation)

  • 박재완;최성렬
    • 대한기계학회논문집A
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    • 제25권6호
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    • pp.949-958
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    • 2001
  • A semi-infinite interfacial crack propagated with constant velocity in two bonded anisotropic strips under out-of-plane clamped displacements is analyzed. Using Fourier integral transform the problem is formulated and the Wiener-Hopf equation is derived. By solving this equation the asymptotic stress and displacement fields near the crack tip are obtained, where the results get more general expressions applicable not only to isotropic/orthotropic materials but also to the extent of the anisotropic material having one plane of elastic symmetry for the interfacial crack. The dynamic stress intensity factor is obtained as a closed form, which is decreased as the velocity of crack propagation increases. The critical velocity where the stress intensity factor comes to zero is obtained, which agrees with the lower value between the critical values of parallel crack merged in the material 1 and 2 adjacent to the interface. Using the near tip fields of stresses and displacements, the dynamic energy release rate is also obtained as a form of the stress intensiy factor.

Investigation of the behavior of a crack between two half-planes of functionally graded materials by using the Schmidt method

  • Zhou, Zhen-Gong;Wang, Biao;Wu, Lin-Zhi
    • Structural Engineering and Mechanics
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    • 제19권4호
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    • pp.425-440
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    • 2005
  • In this paper, the behavior of a crack between two half-planes of functionally graded materials subjected to arbitrary tractions is resolved using a somewhat different approach, named the Schmidt method. To make the analysis tractable, it is assumed that the Poisson's ratios of the mediums are constants and the shear modulus vary exponentially with coordinate parallel to the crack. By use of the Fourier transform, the problem can be solved with the help of two pairs of dual integral equations in which the unknown variables are the jumps of the displacements across the crack surfaces. To solve the dual integral equations, the jumps of the displacements across the crack surfaces are expanded in a series of Jacobi polynomials. This process is quite different from those adopted in previous works. Numerical examples are provided to show the effect of the crack length and the parameters describing the functionally graded materials upon the stress intensity factor of the crack. It can be shown that the results of the present paper are the same as ones of the same problem that was solved by the singular integral equation method. As a special case, when the material properties are not continuous through the crack line, an approximate solution of the interface crack problem is also given under the assumption that the effect of the crack surface interference very near the crack tips is negligible. It is found that the stress singularities of the present interface crack solution are the same as ones of the ordinary crack in homogenous materials.

Finite Element Analysis of Multiple Subsurface Cracks in Half-space Due to Sliding Contact

  • Lee, Sang Yun;Kim, Seock Sam
    • KSTLE International Journal
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    • 제2권1호
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    • pp.12-16
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    • 2001
  • A finite element analysis of crack propagation in a half-space due to sliding contact was performed. The sliding contact was simulated by a rigid asperity moving across the surface of an elastic half-surface containing single and multiple cracks. Single, coplanar, and parallel cracks were modeled to investigate the interaction effects on the crack growth in contact fatigue. The analysis was based on linear elastic fracture mechanics and the stress intensity factor concept. The crack propagation direction was predicted based on the maximum range of the shear and tensile stress intensity factors.

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횡보강근이 없는 콘크리트 부재의 전단강도 (Shear Strength of Concrete Members without Transverse Steel)

  • 김장훈
    • 콘크리트학회논문집
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    • 제12권6호
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    • pp.57-66
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    • 2000
  • The truss analogy for the analysis of beam-columns subjected of shear and flexure is limited by the contribution of transverse and longitudinal steel and diagonal concrete compression struts. However, it should be noted that even though the behavior of reinforced concrete beam-columns after cracking can be modeled with the truss analogy, they are not perfect trusses but still structural elements with a measure of continuity provided by a diagonal tension field. The mere notion of compression field denotes that there should be some tension field coexisting perpendicularly to it. The compression field is assumed to form parallel to the crack plane that forms under combined flexure and shear. Therefore, the concrete tension field may be defined as a mechanism existing across the crack and resisting crack opening. In this paper, the effect of concrete tensile properties on the shear strength and stiffness of reinforced concrete beam-columns is discussed using the Gauss two-point truss model. The theoretical predictions are validated against the experimental observations. Although the agreement is not perfect, the comparison shows the correct trend in degradation as the inelasticity increases.

Finite Element Analysis of the Inclined Subsurface Cracks in a Homogeneous Body Under a Moving Compressive Load

  • Lee, Kyung-Sick;Chung, Gyu-Sung
    • KSTLE International Journal
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    • 제5권1호
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    • pp.7-13
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    • 2004
  • The inclined subsurface cracks in a homogeneous body subjected to a moving compressive load is analyzed with the finite element method (FEM) considering friction on the crack surface. The stress intensity factors for the inclined subsurface cracks are evaluated numerically for various cases such as different inclined angles and changes in the coefficient of friction. The effects of the inclined angle and the coefficient of friction on the stress intensity factor are discussed. The difference between the behaviors of the parallel subsurface crack and those of the inclined subsurface crack is also examined.

초고속 스캔형 자기카메라에 의한 고속열차 차륜 탐상 (Inspection of Cracks on the Express Train Wheel Using a High Speed Scan Type Magnetic Camera)

  • 이진이;황지성;권석진;서정원
    • 대한기계학회논문집A
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    • 제32권11호
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    • pp.943-950
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    • 2008
  • A novel nondestructive testing (NDT) system, which is able to detect a crack with high speed and high spatial resolution, is urgently required for inspecting small cracks on express train wheels. This paper proposes a high speed scan type magnetic camera, which uses the multiple amplifying circuits and the crack indicating pulse output system. The linearly integrated Hall sensors are arrayed in parallel, and the Hall voltages from each sensor in the scanning direction are obtained and amplified. High-speed NDT can be achieved by using the exclusive analog-digital converter and micro-processor because the ${\partial}\;V_H/\;{\partial}$ x value, which provides the most important crack information, can be obtained by buffering and calculating. The effectiveness of the novel method was verified by examine using cracks on the wheel specimen model.

구멍확장시험의 변형특성 및 활용성 연구 (Study on Deformation Characteristics of Hole Expansion Test and Its Applicability)

  • 한수식;이현영
    • 소성∙가공
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    • 제28권3호
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    • pp.154-158
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    • 2019
  • The hole expansion tests using conical punch, flat punch or hemispherical punch are widely used for stretch flangeability verification of HSS. In this study, we investigate the strain distribution on the shear edges of the hole expansion test using grid marking and a projector. A small crack at the edge is distributed, resulting in a large gap between the HER and the crack strain. The strain distribution at the edges is irregular due to anisotropy of sheet metal. While an edge perpendicular to the rolling direction indicate a lower strain level compared to an edge parallel to the rolling direction, edge cracks occur at the edge perpendicular to the rolling direction. To predict the manifestation of edge cracks in FE analysis, the result of the hole expansion test with a crack strain measurement may well be a better tool than FLD. In this case, the level of strain and the direction of the edge relative to the rolling direction should be well considered.

페리다이나믹스 이론과 병렬연산을 이용한 균열진전 문제의 형상 설계민감도 해석 (Shape Design Sensitivity Analysis of Dynamic Crack Propagation Problems using Peridynamics and Parallel Computation)

  • 김재현;조선호
    • 한국전산구조공학회논문집
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    • 제27권4호
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    • pp.297-303
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    • 2014
  • 페리다이나믹스 이론과 이진분해 기법의 병렬연산을 이용하여 동적 균열진전 문제에 대한 애조인 형상 설계민감도 해석법을 개발하였다. 페리다이나믹스에서는 균열의 연속적인 분기를 다룰 수 있으며, Explicit 시간적분법을 채택한다. 설계민감도 해석은 애조인 변수법은 경로의존성 문제에는 적합하지 않으나 여기서는 응답해석의 경로를 이미 알고 있으므로 채택하여 사용할 수 있었다. 얻어진 해석적 설계민감도는 유한차분과 비교하여 그 정확성을 검증하였다. 유한차분법은 설계섭동량에 민감하여 비선형성이 강한 페리다이나믹스 문제에서 부정확한 설계민감도를 제시할 수 있다. 정확한 설계민감도 해석을 위해서는 이산화과정에서 $C^1$ 연속성을 가지는 체적율이 필요함을 알 수 있었다.

삼병렬 터널의 안정성 검토를 위한 모형실험 연구 (A Study for the Stability Investigation of Three Parallel Tunnels Using Scaled Model Tests)

  • 김종우;배우석
    • 터널과지하공간
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    • 제18권4호
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    • pp.300-311
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    • 2008
  • 삼병렬 터널은 3개의 터널이 서로 나란히 배열되는 형태의 터널이다. 본 연구에서는 터널간 이격거리, 터널단면 형상, 지보조건, 지반조건 등이 서로 다른 7가지 삼병렬 터널 모형들에 대한 축소모형실험을 통하여 모형별 균열개시압력과 터널 주변지반의 변형거동을 조사하였다. 터널간 이격거리가 작은 모형일수록 낮은 압력 수준에서 필러의 파괴가 일어나고 터널의 내공변형량도 증가하여 터널의 안정성은 감소하였다. 터널단면의 형상이 아치형, 편평아치형, 사각형인 모형들 중에서 사각형 단면을 가진 터널의 안정성이 가장 작았으며, 천반곡률반경이 작은 아치형 터널이 편평아치형 터널보다 안정성이 우수하였다. 터널의 천장부에 모형 록볼트를 설치한 모형은 무지보 터널 모형에 비하여 균열개시압력이 클 뿐만 아니라 천단침하량도 적게 나타나 지보의 효과를 확인할 수 있었다. 이방성 암반내 터널 모형은 등방성 모형과 매우 다른 변형거동을 나타내었으며, FLAC을 사용한 수치해석 결과는 모형실험의 결과와 정성적으로 부합하였다.

Crack growth analysis and remaining life prediction of dissimilar metal pipe weld joint with circumferential crack under cyclic loading

  • Murthy, A. Ramachandra;Gandhi, P.;Vishnuvardhan, S.;Sudharshan, G.
    • Nuclear Engineering and Technology
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    • 제52권12호
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    • pp.2949-2957
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    • 2020
  • Fatigue crack growth model has been developed for dissimilar metal weld joints of a piping component under cyclic loading, where in the crack is located at the center of the weld in the circumferential direction. The fracture parameter, Stress Intensity Factor (SIF) has been computed by using principle of superposition as KH + KM. KH is evaluated by assuming that, the complete specimen is made of the material containing the notch location. In second stage, the stress field ahead of the crack tip, accounting for the strength mismatch, the applied load and geometry has been characterized to evaluate SIF (KM). For each incremental crack depth, stress field ahead of the crack tip has been quantified by using J-integral (elastic), mismatch ratio, plastic interaction factor and stress parallel to the crack surface. The associated constants for evaluation of KM have been computed by using the quantified stress field with respect to the distance from the crack tip. Net SIF (KH + KM) computed, has been used for the crack growth analysis and remaining life prediction by Paris crack growth model. To validate the model, SIF and remaining life has been predicted for a pipe made up of (i) SA312 Type 304LN austenitic stainless steel and SA508 Gr. 3 Cl. 1. Low alloy carbon steel (ii) welded SA312 Type 304LN austenitic stainless-steel pipe. From the studies, it is observed that the model could predict the remaining life of DMWJ piping components with a maximum difference of 15% compared to experimental observations.