• 제목/요약/키워드: crack tip plastic zone

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Numerical Analysis for Prediction of Fatigue Crack Opening Level

  • Choi, Hyeon Chang
    • Journal of Mechanical Science and Technology
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    • 제18권11호
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    • pp.1989-1995
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    • 2004
  • Finite element analysis(FEA) is the most popular numerical method to simulate plasticity-induced fatigue crack closure and can predict fatigue crack closure behavior. Finite element analysis under plane stress state using 4-node isoparametric elements is performed to investigate the detailed closure behavior of fatigue cracks and the numerical results are compared with experimental results. The mesh of constant size elements on the crack surface can not correctly predict the opening level for fatigue crack as shown in the previous works. The crack opening behavior for the size mesh with a linear change shows almost flat stress level after a crack tip has passed by the monotonic plastic zone. The prediction of crack opening level presents a good agreement with published experimental data regardless of stress ratios, which are using the mesh of the elements that are in proportion to the reversed plastic zone size considering the opening stress intensity factors. Numerical interpolation results of finite element analysis can precisely predict the crack opening level. This method shows a good agreement with the experimental data regardless of the stress ratios and kinds of materials.

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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균열선단의 소성스트레치를 이용한 피로균열성장모델 (A model of fatigue crack growth based on plastic stretch at the crack tip)

  • 주영식;김재훈
    • 한국항공우주학회지
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    • 제31권3호
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    • pp.15-22
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    • 2003
  • 피로균열성장모델을 유도하고 지연모델을 제안하였다. 피로균열성장모델은 피로균열선단의 소성변형으로 인하여 균열표면에 발생하는 잔류소성스트레치를 고려하고 있다. 균열 성장률은 균열선단 재료요소의 소성변형에너지와 누적피로손상으로부터 계산된다. 유도한 균열성장모델로부터 계산한 균열성장률은 AL6061-T651과 17-4PH 주강의 시험결과와 잘 일치하고 있다. 피로균열성장지연모델은 인장과대하중으로부터 생성된 잔류소성스트레치를 근거로 하고 있으며, 인장과대하중은 다음 하중 사이클의 소성변형률을 감소시킨다. Strip-yield모델을 이용하여 균열선단의 소성역을 계산하였다. 새로 제안된 지연모델은 인장과대하중하의 피로균열선장특성 및 지체지연 현상을 잘 기술하고 있다.

모우드 III 하중 하에서 경사진 띠모양의 소성역을 가정한 계면균열 모델 (An Interfacial Crack Model with Inclined Strip Plastic Zones under Mode III Load)

  • 박재학;엄윤용
    • 대한기계학회논문집
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    • 제13권2호
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    • pp.243-251
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    • 1989
  • 본 연구에서는 균질재료에 대하여 Vitec, Riedel, Yokobori와 Kamei 등이 사용되었던 모델을 계면균열문제에 도입하였다. 즉, 균열선단에 기울어진 슬립면 (Slip plane)을 가정하고 소성역이 이 슬립면 상에 존재한다고 가정하여 이 모델에 모우드 III의 응력이 작용하는 경우에 대하여 해석하였다.소성여과 균열을 전위 (dislocation)의 연속된 분포로 나타내고 평형조건을 만족하는 전위밀도함수(disl- ocation density function)를 구하였다.이러한 모델의 해석을 통하여 각 재료에서의 의 마찰전단응력의 변화에 따른 소성역의 크기 및 균열선단에서의 상대변위의 변화를 살펴보았다. 또한 이러한 소성역을 가정한 경우의 J-적분과 균열선단에서의 상대 변위와의 관계에 대해서도 살펴보았다.

단일과대하중이 피로균열성장에 미치는 영향에 관한 연구 (A Study on the Effect of a Single Overload on Fatigue Crack Retardation)

  • 김경수;김성찬;심천식;박진영;이창환
    • 한국해양공학회:학술대회논문집
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    • 한국해양공학회 2002년도 추계학술대회 논문집
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    • pp.73-78
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    • 2002
  • Ships and ocean structures are generally under random loading. Various type of variable-amplitude loading affects fatigue crack growth and fatigue life. However interaction effects due to irregularity of loading including random loading have not explained exactly and it is difficult to examined fatigue crack growth behaviour and fatigue life for this reason. Therefore in this paper crack growth tests with constant-amplitude loading including a single overload were conducted to measure plastic zone size near crack tip of DENT specimen. And the observed plastic zone sized were discussed in terms of crack growth rate. As a result of this the effect the plastic rue size due to the overload is examined on the effect on crack growth rate and, consequently, fatigue life.

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Assessment of Fatigue Crack Propagation Considering the Redistribution of Residual Stress due to Overload

  • Jang, Chang-Doo;Leem, Hyo-Kwan;Choi, Yeoung-Dal;Bang, Jun-Kee;So, Ha-Young
    • Journal of Ship and Ocean Technology
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    • 제11권2호
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    • pp.26-33
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    • 2007
  • For the assessment of the retardation of fatigue crack propagation behavior due to overload, new FE analysis algorithms considering compressive residual stress redistribution near crack tip was proposed in this paper. The size of plastic zone near crack tip was obtained by elasto-plastic analysis and it was compared with Irwin's equation. The amount of residual stress redistribution was assessed by subsequent elasto-plastic analysis, and the difference of residual stress distributions between constant amplitude load and overload was obtained. In the analysis of fatigue crack propagation, the applied SIF range was evaluated by ASTM E647, and the effect of residual stresses on crack propagation was considered using the effective SIF concept. The test results of crack propagations were compared with the predicted data obtained by the analysis.

J-R곡선에서의 균열길이 감소현상에 관한 연구 (I) (A Study on the Apparent Negative Crack Growth Phenomenon of J-R Curve(I))

  • 석창성;최용식
    • 대한기계학회논문집
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    • 제16권6호
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    • pp.1115-1120
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    • 1992
  • 본 연구에서는 ASTM의 단일시편법으로 시험해석할 때에 나타나는 가장 큰 문 제점인 균열길이 감소현상의 원인해석과, 균열길이 감소현상을 고려한 균열길이 측정 수정식을 제안하고자 하며, 다음 절차로 연구를 수행하였다. (1) 균열선단의 응력장해석과, 이 응력장해석에 의한 균열길이 감소현상을 해석하였 다. (2) CT와 TPB 시편에서의 균열길이 측정식의 수정식을 제안하였다. (3) 이 수정식의 타당성을 $J_{IC}$ 시험해석을 통하여 검토하였다.다.

軟鋼 熔接熱影響部의 塑性變形擧動에 關한 硏究 II (A Study the Behavior of Plastic Deformation in Weld HAZ of Mild Steel)

  • 박창언;정세희
    • Journal of Welding and Joining
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    • 제10권1호
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    • pp.43-51
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    • 1992
  • The plastic zone formed around a notch tip is important in analyzing the fracture toughness of structures and particularly weld cracks existed in the weld HAZ (heat affected zone) which produces local plastic deformation at the crack tip. Therefore, in order to analyze the fracture toughness in weld HAZ, it is necessary to investigate the new fracture toughness parameter $K_{c}$ $^{*}$ and critical plastic strain energy $W_{p}$ $^{c}$ according to the shape and size of the plastic zone. 1) If the temperature corresponding to $K_{c}$ $^{*}$=130kg-m $m^{-3}$ 2/ is determined, transition temperature $T_{tr}$ the magnitude of plastic zone size, and heat input change depending on the fracture toughness. The blunted amounts of the parent and weld HAZ show mild linear variation until .delta.=0.4mm and then increase very steeply there after. 2) The relation between the plastic strain energy( $W^{p}$ ) and transition temperature( $T_{*}$tr) in parent metal is more sensitive than that of weld HAZ. However, the plastic strain energy depends on the transition temperature, and thus the yield stress, .sigma.$_{ys}$ becomes an important parameter for plastic strain energy. 3) The critical plastic strain energy( $W_{p}$ $^{c}$ ) absorbed by the plastic zone at the notch tip indicated in case of parent metal: 60J/mm, in case of heat input(20KJ/cm): 75J/mm, in case of heat input(30KJ/cm); 50J/mmJ/mm.

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$\rho$-Version 유한요소법에 의한 균열판의 소성역 형상과 J-적분값 산정 (The Values of J-integral and Shapes of Plastic Zone Near a Crack Tip of Cracked Panels by the $\rho$-Version of F.E.M.)

  • 홍종현;우광성
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1999년도 봄 학술발표회 논문집
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    • pp.42-49
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    • 1999
  • Because the linear elastic tincture analysis has been proved to be insufficient in predicting the failure of cracked bodies, in recent years, a number of fracture concepts have been studied which remain applicable in the presence of large-scale plasticity near a crack tip. This work thereby presents a new finite element model, as accurate as possible, to analyze plane problems of ductile fracture under large-scale yielding conditions. Based on the incremental theory of plasticity, the p-version finite element analysis is employed to account for the values of J-integral, the most dominant fracture parameter, and the shape of plastic zone near a crack tip by using the J-integral method and equivalent domain integral method. The numerical results by the proposed model are compared with the theoretical solutions in literatures and the numerical solutions by the i,-version of F.E.M.

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平面應力狀態 에서 균열先端 의 小規模降伏 에 관한 有限要素解析 (Finite Element Analysis on the Small Scale Yielding of a Crack Tip in Plane Stress)

  • 임장근;맹주성;김병용
    • 대한기계학회논문집
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    • 제7권3호
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    • pp.270-277
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    • 1983
  • Plastic plane stress solutions are given for a center cracked strip, characterized by the Ramberg-Osgood plastic index, under bi-axial tension. Using a power law hardening stress-strain relation, an incremental plasticity finite element formulation is developed, and simple formulation is given for computing J-integral with nodal displacements. The near tip angular distribution of von Mises effective stress doesn't differ significantly in magnitude according to the change of loading stress and bi-axial load combination factor. But, for smaller plastic index, the location of its maximum value moves vertically at a head of crack. J-integral value, in the plastic zone near crack tip, decreases with load combination factor for large and small plastic index.