• 제목/요약/키워드: Crack-Tip

검색결과 754건 처리시간 0.022초

두 이방성 띠판에 내재된 면외변형하의 등속평행 균열 (Parallel Crack with Constant Velocity in Two Bonded Anisotropic Strip Under Anti-Plane Deformation)

  • 박재완;김남훈;최성렬
    • 대한기계학회논문집A
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    • 제24권2호
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    • pp.496-505
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    • 2000
  • A semi-infinite parallel crack propagated with constant velocity in two bonded anisotropic strip under anti-plane clamped displacement is analyzed. Using Fourier integral transform a Wiener-Hopf equation is derived. By solving this equation the asymptotic stress and displacement fields near the crack tip are determined, where the results give the more general expression applicable to the extent of the anisotropic material having one plane of elastic symmetry for the parallel crack. The dynamic stress intensity factor and energy release rate are also obtained as a closed form, which are the results applicable to the problem both of dynamic and static crack under the same geometry as this study. The stress intensity factor approaches zero at the critical crack velocity which is less than the shear wave velocity, but in typical case of isotropic or orthotropic material agrees with the velocity of shear wave. Also a circular shear stress around crack tip is considered, from which the stress is shown to be approximately symmetric about the horizontal axis. Referring to the maximum stress criteria, it could be shown that a brenched crack is formed by crack growth as crack velocity increases.

2차원 평면응력 상태에서 되풀이 소성역이 피로균열 열림 현상에 미치는 영향에 관한 연구 (An Evaluation on the Effect of Reversed Plastic Zone on the Fatigue Crack Opening Behavior under 2-D Plane Stress)

  • 최현창
    • 대한기계학회논문집A
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    • 제29권8호
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    • pp.1078-1084
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    • 2005
  • The relationship between fatigue crack opening behavior and the reversed plastic zone sizes is studied. An elastic-plastic finite element analysis (FEA) is performed to examine the opening behavior of fatigue crack, where the contact elements are used in the mesh of the track tip area. The smaller element size than reversed plastic zone size is used fer evaluating the distribution of reversed plastic zone. In the author's previous results the FEA could predict the crack opening level, which crack tip elements were in proportion to the theoretical reversed plastic zone size. It is found that the calculated reversed plastic zone size is related to the theoretical reversed plastic zone size and crack opening level. The calculated reversed plastic zone sizes are almost equal to the reversed plastic zone considering crack opening level obtained by experimental results. It can be possible to predict the crack opening level from the reversed plastic zone size calculated by finite element method. We find that the experimental crack opening levels correspond with the opening values of contact nodes on the calculated reversed plastic zone of finite element simulation.

산성안개 환경하에서 Ni-Cr-Mo 강의 피로크랙전파거동 (Fatigue Crack Growth Behavior of Ni-Cr-Mo Steel under Acid Fog Environment)

  • 김민건;임용호;김만구
    • 대한기계학회논문집A
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    • 제24권7호
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    • pp.1841-1846
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    • 2000
  • To examine the effect of acid fog on the corrosion fatigue behavior in structural steel, fatigue tests under acid fog atmosphere were carried out in comparison with distilled water. The corrosive c omponents contained in acid fog pile up the corrosion products on crack face and show a crack branching and crack tip blunting. Therefore, due to these workings crack growth rate was reduced by decreasing the effective stress range in crack tip rather than under distilled water. Also the effect of sulfuric acid, which is the main component of acid fog, and testing speed on fatigue crack growth were examined. It was found that corrosion behavior was remarkably dependent upon pH and Hz rather than components of acid fog. According as pH and testing speed decrease below a specific value, crack growth was accelerated in comparison with distilled water. This reveals that due to liquid having strong acidity and slow speed of test the crack face dissolution was promoted, so crack closure was disturbed in the process of stress descent.

현수교케이블의 응력부식에 관한 신뢰성해석 (Reliability Analysis for Stress Corrosion Cracking of Suspension Bridge Wires)

  • Taejun;Andrzej S. Nowak
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2003년도 봄 학술발표회 논문집
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    • pp.537-544
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    • 2003
  • This paper deals with stress corrosion cracking behavior of high strength steel exposed to marine environments. The objective is to determine the time to failure as a function of hydrogen concentration and tensile stress in the wires. A crack growth curve is modeled using finite element method (FEM) program. The coupled hydrogen diffusion-stress analyses of SCC were programmed separately. The first part is calculating stress and stress intensity /sup 1)/factor of a cylindrical shell, prestressing tendon or suspension bridge wires, from the initiation of cracks to rupture. Virtual crack extension method, contour integral method, and crack tip elements are used for the calculation of stresses in front of the crack tip. Comparisons of the result show a good agreement with the analytical equations and wire tests. The second part of the study deals with the programming of hydrogen diffusion, affected by hydrostatic stress, calculated at the location of boundary of plastic area around the crack tip. The results of paper can be used in the design and management of prestressed structures, cable stayed and suspension bridges. Time dependent correlated parallel reliabilities of a cable, composed of 36 wires, were evaluated by the consideration of the deterioration of stress corrosion cracking.

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이중크랙을 가진 보의 동특성에 미치는 끝단질량과 이동질량의 영향 (Influence of Tip Mass and Moving Mass on Dynamic Behavior of Beam with Double-Crack)

  • 손인수;윤한익
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2004년도 추계학술대회논문집
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    • pp.713-716
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    • 2004
  • In this paper a dynamic behavior of a double-cracked cnatilver beam with a tip mass and the moving mass is presented. Based on the Euler-Bernoulli beam theory, the equation of motion is derived by using Lagrange's equation. The influences of the moving mass, a tip mass and double cracks have been studied on the dynamic behavior of a cantilever beam system by numerical method. The cracks section are represented by the local flexibility matrix connecting two undamaged beam segments. ,Therefore, the cracks are modelled as a rotational spring. Totally, as a tip mass is increased, the natural frequency of cantilever beam is decreased. The position of the crack is located in front of the cantilever beam, the frequencies of a double-cracked cantilever beam presents minimum frequency.

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균열면의 압력을 고려한 응력확대계수의 결정에 관한 연구 (A Study on the Calculation of Stress Intensity Fantors considering Pressure of Crack-Face)

  • 진치섭;최현태;이홍주
    • 콘크리트학회지
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    • 제7권3호
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    • pp.175-186
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    • 1995
  • 매시브 콘크리트 구조물의 균열선단의 응력확대계수를 구하는 데 표면적분법을도입하였다. 표면적분법은 경로적분인 J-적분법을 근저로 하여 유도가 된다. J-적분법에서는 균열면의 압력고 구조물의 물체력을 고려할 수가 없는 반면에 본 이론은 이러한 일반 하중조건을 고려할 수가 있으므로 보다 정확한 균열선단부의 응력상태를 고찰하는데 유용하다. 또한 균열선단부의 특이성을 표현하기 위해 특이요소를 사용하거나 균열선단부의 세밀한 요소분할을 요하는 등의 불편함을 제거할 수 있는 기법이다. 본 이론을 바탕으로 응력확대계수$K_I$, $K_{II}$를 구하는 프로그램을 작성하였으며 8절점 등매개 변수요소를 사용하여 $K_I$, $K_{II}$를 검증하였으며 실제 댐 구조물에 적용시켜 응력확대계수의 변화를 살펴보았다.

고무변성 에폭시 수지의 균열진전과정과 음향방출 특성 (Acoustic Emission during Crack Propagation Process of Rubber-Modified Epoxy Resin)

  • 이덕보;김현수;최낙삼;남기우;문창권
    • Composites Research
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    • 제16권4호
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    • pp.44-50
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    • 2003
  • 균열선단에 발생하는 손상역은 재료의 파괴인성 메카니즘을 알 수 있게 하는 중요한 영역이다. 본 연구에서는 고무변성 에폭시 수지의 균열선단 손상역의 생성 및 성장 과정을 음향방출법을 이용하여 조사하였다. 고무변성 에폭시 수지의 고무함량은 5 wt%와 15 wt%로 하였고, 3점 굽힘시험편을 사용하여 모드 I 파괴시험에 대한 각 시험편의 파괴인성값을 구하였다. 또한, 균열선단의 손상역과 그 내부의 고무입자 변형상태를 편광현미경과 원자력간 현미경을 사용하여 관찰하였다. 고무변성 에폭시 수지의 균열선단부의 손상역은 파괴하중의 약 13 % 하중에서 생성이 되어, 약 57 % 하중까지 균열개시 없이 성장하였다. 57 % 하중 근처에서 개시만 균열은 최대하중부근까지 고착-활강거동을 반복하면서 안정 / 불안정 파괴로 진전하였다 이 과정에서 발생한 음향방출신호의 시간-주파수 분석결과, 고투입자 내부에서의 케비테이션 생성단계에서 주파수대역은 0.15 ∼ 0.20 MHz 이었고, 그 후의 안정 및 불안정시의 주파수 대역은 0.20∼0.30MHz 이었다.

Q-응력을 이용한 휜 광폭평판 균열부 구속상태 변화 평가 (Investigation into Crack-Tip Constraint of Curved Wide-Plate using Q-Stress)

  • 이휘승;허남수;김기석;심상훈;조우연
    • 대한기계학회논문집A
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    • 제38권12호
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    • pp.1441-1446
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    • 2014
  • 본 논문에서는 휜 광폭평판의 두께와 폭, 균열길이 그리고 가공경화지수의 변화가 휜 광폭평판의 균열부 구속상태에 미치는 영향을 평가하였다. 이를 위해 5가지의 휜 광폭평판 두께, 3가지의 균열길이, 3가지의 휜 광폭평판 폭 그리고 3가지의 가공경화지수를 고려한 3차원 탄소성 유한요소해석을 수행하였다. Ramberg-Osgood 관계식을 만족하는 비선형 재료로 가정하였으며 균열부 구속상태를 정량화하기 위해서 Q-응력을 이용하였다. 3차원 유한요소해석 결과를 바탕으로 기하학적 형상 및 재료특성에 따른 휜 광폭평판의 Q-응력 변화를 평가하였다. 평가 결과 면외 구속조건에 의한 영향은 면내 구속조건과 밀접한 관계가 있었으며, 면외 구속조건이 면내 구속조건 보다 균열부 구속상태에 더 큰 영향을 미쳤다.

임계 CTOA조건을 이용한 파괴해석 (Fracture Analysis Based on the Critical-CTOA Criterion)

  • 구인회
    • 대한기계학회논문집
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    • 제17권9호
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    • pp.2223-2233
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    • 1993
  • An engineering method is suggested to calculate the applied load versus crack extension in the elastic-plastic fracture. The condition for an increment of crack extension is set by a critical increment of crack-up opening displacement(CTOD). The ratio of the CTOD increment to the incremental crack extention is a critical crack-tip opening angle(CTOA), assumed to be constant for a material of a given thickness. The Dugdale model of crack-tip deformation in an infinite plate is applied to the method, and a complete solution for crack extension and crack instability is obtained. For finite-size specimens of arbitrary geometry in general yielding, an approximate generalization of the Dugdale model is suggested so that the approximation approaches the small-scale yielding solution in a low applied load and the finite-element solution in a large applied load. Maximum load is calculated so that an applied load attains either a limit load on an unbroken ligament or a peak load during crack extension. The proposed method was applied to three-point bend specimens of a carbon steel SM45C in various sizes. Reasonable agreements are found between calculated maximum loads and experimental failure loads. Therefore, the method can be a viable alternative to the J-R curve approach in the elastic-plastic fracture analysis.

P92와 STS 316L강의 고온 피로 균열 성장에 미치는 하중 파형의 영향 (The Effect of Loading Waveform on the High Temperature Fatigue Crack Propagation in P92 and STS 316L Steel)

  • 김수영;임병수
    • 한국자동차공학회논문집
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    • 제10권4호
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    • pp.136-140
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    • 2002
  • High temperature fatigue crack growth behavior of P92 and STS 316L steel were investigated under four load conditions using CT type specimens. Loading and unloading times for the low wave forms were combinations of 1 sec. and 50 sec., which were two symmetric wave forms and two unsymmetric wave forms. Their behaviors are characterized using ΔK parameter. In STS 316L, Crack growth rate generally increases as frequency decreases. However, sensitivity of the loading rate to crack growth rate was fecund to be far greater than that of the unloading time. It is because as loading time increases, creep occurs at crack tip causing the crack growth rate to increase. However creep does not occur at the crack tip even if the unloading time is increased. In P92 steel, crack growth rate showed same behavior as in STS 316L. But the increase in loading or unloading time made almost no difference in crack growth rate, suggesting that no significant creep occurs in P92 steel even though loading time increases. After conducting high temperature tensile tests and comparing high temperature fatigue crack growth rates under various wave forms, it was proved that P92 steel has not only good high temperature properties but also improved, better high temperature fatigue properties than STS 316L.