• 제목/요약/키워드: Crack-Tip

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연성 균열성장 개시의 미시적 파괴조건 (Microscopic fracture criterion of crack growth initiation)

  • 구인회
    • 대한기계학회논문집
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    • 제11권5호
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    • pp.740-745
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    • 1987
  • 본 연구에서는 파괴조건(4)와 유사하게 임계 스트레인 조건을 사용하나 기존 스트레인이 없는 재료의 날카로운 균열선단을 가진 시편의 파괴인성실험치(.delta.$_{IC}$)로 부터 재료의 고유상수인 특성길이를 결정하는 방법이 제안되었다.이 파괴조건을 이 용하여 처음노치선단의 유한한 반경과 재료의 기존 스트레인이 시편의 파괴개시에 미 치는 영향을 예측하고자 한다.

내외압을 받는 압력용기의 탄소성 해석과 파괴거동에 대한 고찰 (A study on the elastic-plastic analysis and fracture behavior of pressure vessel)

  • 엄동석
    • Journal of Welding and Joining
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    • 제6권2호
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    • pp.19-29
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    • 1988
  • This paper reports on the elatic-plastic analysis and fracture behavior of cylinder with outer surface crack which is under external or internal pressure. For the studuty of crack length effects in cylinder, ratios of crack lengths to finite thickness (a/t) are dertermined 0.3, 0.4, 0.5. For the study of curvature effects in cylinders, ratios of mean diameter to finite thicknees (Rm/t) are determined 10.0, 15.0, 20.0. Analysis is conduceted using the theory of fracture mechanics and two dimensional finite element solution assuming the axi-symmetrical plane strain conditon. Main results of this study are as follows. 1) It is known from this paper that elastic-plastic strain is initiated near crack tip and enlarged between crack tip and inner side of cylinder. 2) $K_{1}$ of cylinder under external or internal pressure is evaluated memebrane stress .root..pi.* crack length. The results of this study are inclined to Lomacky's results and Kobayshi's result. 3) Distribution of stress near crack tip is looked higher than of other zone, as crack length of equal model is longer, and as diameter of cylinder is longer. 4) When other conditions are equal, displacemenet near crack tip is looked duller, as length is longer.

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A Study on Dynamic Crack-Tip Fields in a Strain Softening Material

  • Jang, Seok-Ki;Xiankui Zhu
    • Journal of Advanced Marine Engineering and Technology
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    • 제27권4호
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    • pp.494-502
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    • 2003
  • The near-tip field of mode-I dynamic cracks steadily propagating in a strain softening material is investigated under plane strain conditions. The material is assumed to be incompressible and its deformation obeys the $J_2$ flow theory of plasticity. A power-law stress-strain relation with strain softening is adopted to account for the damage behavior of materials near the dynamic crack tip. By assuming that the stresses and strain have the same singularity at the crack tip. this paper obtains a fully continuous dynamic crack-tip field in the damage region. Results show that the stress and strain components the same logarithmic singularity of (In(R/r))$\delta$, and the angular variations of filed quantities are identical to those corresponding to the dynamic cracks in the elastic-perfectly plastic material.

Influence of Tip mass on Dynamic Behavior of Cracked Cantilever Pipe Conveying Fluid with Moving Mass

  • Yoon Han-Ik;Son In-Soo
    • Journal of Mechanical Science and Technology
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    • 제19권9호
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    • pp.1731-1741
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    • 2005
  • In this paper, we studied about the effect of the open crack and a tip mass on the dynamic behavior of a cantilever pipe conveying fluid with a moving mass. The equation of motion is derived by using Lagrange's equation and analyzed by numerical method. The cantilever pipe is modelled by the Euler-Bernoulli beam theory. The crack section is represented by a local flexibility matrix connecting two undamaged pipe segments. The influences of the crack, the moving mass, the tip mass and its moment of inertia, the velocity of fluid, and the coupling of these factors on the vibration mode, the frequency, and the tip-displacement of the cantilever pipe are analytically clarified.

효율적이고 신뢰성있는 자연요소 균열해석을 위한 균열선단 그리드 세분화기법 (A Near-tip Grid Refinement for the Effective and Reliable Crack Analysis by Natural Element Method)

  • 조진래
    • 한국전산구조공학회논문집
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    • 제32권3호
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    • pp.183-190
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    • 2019
  • 본 논문은 균열선단 그리드 세분화기법을 소개하고 자연요소법을 이용한 균열해석에 이 기법을 적용함으로서 그 유효성을 고찰하였다. 유한요소법에 있어서의 국부적 h-세분화와 같이 높은 응력 특이성을 보이는 균열선단 주위를 따라 자연요소법 그리드를 국부적으로 세분화하였다. 본 논문에서 소개되는 그리드 세분화기법은 2단계로 구성되며, 1단계에서는 그리드 점들이 추가되고 2단계에서는 균열선단 절점을 공유하는 델라우니 삼각형들이 나뉘게 된다. 제안하는 그리드 세분화기법의 타당성과 균열해석에서의 유효성을 입증하기 위해 대칭 엣지 균열을 갖는 평면 변형률 상태의 사각 평판을 해석하였다. 수치해석 결과의 상대비교를 위해 균일한 자연요소 그리드를 이용한 균열해석도 수행하였으며, 균열선단이 세분화된 그리드는 균일한 그리드와는 달리 이론해와 조밀한 그리드와 유사한 균열선단 응력분포를 나타내었다. 또한, 총 그리드 절점수에 대한 해석결과의 전역 상대오차에서도 세분화된 그리드가 균일한 그리드에 비해 높은 수렴율 나타내었다.

크리프 균열개시 시간에 대한 구속효과 영향의 정량화 (Quantification of the Effect of Crack-Tip Constraint on Creep Crack Initiation Times)

  • 이승호;정현우;김윤재
    • 한국압력기기공학회 논문집
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    • 제16권2호
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    • pp.47-57
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    • 2020
  • A new elastic-plastic-creep constraint parameter is proposed to quantify the effect of constraint on creep crack initiation times. It represents the difference between the transient elastic-plastic-creep crack-tip opening stress and the Riedel-Rice opening stress field in plane strain, which can be determined analytically. Application of the proposed parameter to a large set of creep crack growth test data using C(T) and SEN(B) specimens of Type 316H stainless steel at 550℃ shows that creep crack initiation times can be more accurately characterized by the C⁎-integral together with the proposed parameter.

횡방향으로 등방성인 재료에서 균열선단 크리프 변형 거동 (Crack Tip Creep Deformation Behavior in Transversely Isotropic Materials)

  • 마영화;윤기봉
    • 대한기계학회논문집A
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    • 제33권12호
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    • pp.1455-1463
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    • 2009
  • Theoretical mechanics analysis and finite element simulation were performed to investigate creep deformation behavior at the crack tip of transversely isotropic materials under small scale creep (SCC) conditions. Mechanical behavior of material was assumed as an elastic-$2^{nd}$ creep, which elastic modulus ( E ), Poisson's ratio ( ${\nu}$ ) and creep stress exponent ( n ) were isotropic and creep coefficient was only transversely isotropic. Based on the mechanics analysis for material behavior, a constitutive equation for transversely isotropic creep behavior was formulated and an equivalent creep coefficient was proposed under plain strain conditions. Creep deformation behavior at the crack tip was investigated through the finite element analysis. The results of the finite element analysis showed that creep deformation in transversely isotropic materials is dominant at the rear of the crack-tip. This result was more obvious when a load was applied to principal axis of anisotropy. Based on the results of the mechanics analysis and the finite element simulation, a corrected estimation scheme of the creep zone size was proposed in order to evaluate the creep deformation behavior at the crack tip of transversely isotropic creeping materials.

시편두께 및 균열깊이 영향을 고려한 비표준시편의 J 시험법 및 구속효과의 정량화 (Specimen Thickness and Crack Depth Effects on J Testing and Crack Tip Constraint for Non-standard Specimen)

  • 김진수;조수만;김윤재;김영진
    • 대한기계학회논문집A
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    • 제27권9호
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    • pp.1531-1538
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    • 2003
  • This paper compiles solutions of plastic $\eta$ factors and crack tip stress triaxialites for standard and nonstandard fracture toughness testing specimens, via detailed three-dimensional (3-D) finite element (FE) analyses. Fracture toughness testing specimens include a middle cracked tension (M(T)) specimen, SE(B), single-edge cracked bar in tension (SE(T)) and C(T) specimen. The ligament-to-thickness ratio of the specimen is systematically varied. It is found that the use of the CMOD overall provides more robust experimental J estimation than that of the LLD, for all cases considered in the present work. Moreover, the J estimation based on the load-CMOD record is shown to be insensitive to the specimen thickness, and thus can be used for testing specimen with any thickness. The effects of in-plane and out-of-plane constraint on the crack tip stress triaxiality are also quantified, so that when experimental J value is estimated according to the procedure recommended in this paper, the corresponding crack tip stress triaxiality can be estimated. Moreover, it is found that the out-of-plane constraint effect is related to the in-plane constraint effect.

직접측정법을 이용한 혼합모드 하중 하에서 피로균열의 닫힘과 전파거동 (Fatigue Crack Closure and Propagation Behavior Under Mixed-Mode Loading Observed by the Direct Measuring Method)

  • 송삼홍;서기정;이정무
    • 한국정밀공학회지
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    • 제22권6호
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    • pp.152-158
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    • 2005
  • The stress conditions acting on the practical structure are complex, and thus most cracks existing in the practical structures are under mixed-mode loading conditions. The effect of shear load component of mixed-mode loading acts more greatly in the stage of crack initiation and initial propagation than crack propagation stage. Hence, research on the behavior in the stage of crack initiation and initial propagation need to be examined in order to evaluate behavior of mixed-mode fatigue cracks. In this study, the crack tip displacement(CTD) was measured by using the direct measuring method(DMM). We examined the behavior at crack tip by determining crack opening load$(P_{op})$. From the test results, the propagation behavior of mixed-mode fatigue cracks was evaluated by considering mixed-mode crack closure. Also, we examined the characteristic of crack propagation under mixed-mode loading with crack propagation direction.

디지털 화상관련법 및 균열선단열림각도를 이용한 입자강화 복합재료의 균열저항거동 (Crack Resistance Behavior Using Digital Image Correlation and Crack Tip Opening Angle on Particulate Reinforced Composite)

  • 나성현;이정원;김재훈
    • 대한기계학회논문집A
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    • 제40권12호
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    • pp.1021-1026
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    • 2016
  • 본 연구는 점탄성을 가진 HTPB 입자강화 복합재료의 균열저항에 대하여 쐐기분열시험 및 균열선단열림각도를 이용하여 평가하였다. 일반적으로 균열진전 함수로서 균열선단열림각도는 파괴저항을 결정하기 위해 사용되며, 수치적으로 일정한 값을 가진다. 디지털 화상관련법은 임계 균열선단열림각도를 도출하기 위하여 균열선단열림변위 및 균열진전길이를 측정하기 위해 사용되었다. 본 연구의 시험 결과에서 입자강화 복합재료의 임계 균열선단열림각도는 균열초기 진전 후 일정한 값을 가진다. 임계 균열선단열림각도는 $50^{\circ}C$에서 $-40^{\circ}C$로 온도의 감소에 따라 증가한다. 이러한 임계 균열선단열림각도는 입자강화 복합재료의 파괴역학 파라미터로 사용될 수 있다.