• 제목/요약/키워드: Crack Tip

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CRACK 개구변위(開口變位)에 기초한 미소피로(微小疲勞)크랙 전파법칙(法則)의 고찰(考察) (Considerations of the Small-Crack Growth Law Based on COD)

  • 김민건;지정근
    • 산업기술연구
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    • 제13권
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    • pp.49-57
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    • 1993
  • Bending fatigue tests were carried out on the specimenes with two different strength levels in order to investigate small crack growth rate. The main results obtained are as follows : (1) Small crack growth law, $da/dn=C{\sigma}_a{^n}a$ is useful several materials, but is not the rule applicable to all cases generally. (2) When da/dn in several specimens are equal, COD near the crack tip are also nearly equal. (3) Crack tip opening displacement(CTOD) is the main factor to control the small crack growth rate, and da/dn ${\propto}$ CTOD comes into being between the two. Accordingly, $da/dn=C({\sigma}_a{^2}/{\sigma}_s){^n}a^n$ shows the small crack growth rate being reflected crack closure phenomenon.

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3차 등매개 유한요소를 이용한 이종재료 접합면에 수직인 균열의 응력확대계수 평가 (Evaluation of stress intensity factor for a crack normal to bimaterial interface using cubic isoparametric finite elements)

  • 임원균;정규철;송치훈
    • 대한기계학회논문집A
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    • 제22권1호
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    • pp.206-214
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    • 1998
  • When a crack meets bimaterial interface stress singularity depends on the elastic constants of the adjacent materials. In the present study we are going to describe the finite element formulation for problems with a crack to be embedded in the stiffer material$({\mu}_2/{\mu}_1)$. The cubic isoparametric singular element, represented by adequately shifting the mid-side nodes adjacent to the crack tip is constructed to enclose the crack tip. An alternative method to obtain the optimal position of the mid-side nodes of cubic isoparametric elements is presented. In addition, a proper definition for the stress intensity factors of a crack normal to bimaterial interface is provided. It is based upon near a tip displacement solutions. Models for numerical analysis are two dimensional elastic bodies with a through crack under plain strain. The results obtained are compared with the previous solutions.

직접측정법에 의한 피로크랙 개구거동의 해석 (Analysis of Fatigue Crack Opening: Belhlavioll Using Direct Measuring Method)

  • 송삼홍;김현
    • 대한기계학회논문집
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    • 제16권8호
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    • pp.1493-1502
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    • 1992
  • 본 연구에서는 크랙선단의 소성변형에 의해 발생하는 소성유기 크랙개구거동 을 검토하기 위하여, 크랙선단 최인접 영역에서 COD를 측정할 수 있는 직접 측정법을 개발 사용하고 (1) 직접측정법의 적용범위와 크랙선단의 개구거동 (2) 측정위치에 따 른 개구하중의 변화 (3) 개구비에 영향을 주는 하중변수등에 대하여 고찰하였다.

Dynamic Mixed Mode Crack Propagation Behavior of Structural Bonded Joints

  • Lee, Ouk-Sub;Park, Jae-Chul;Kim, Gyu-Hyun
    • Journal of Mechanical Science and Technology
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    • 제14권7호
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    • pp.752-763
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    • 2000
  • The stress field around the dynamically propagating interface crack tip under a remote mixed mode loading condition has been studied with the aid of dynamic photoelastic method. The variation of stress field around the dynamic interface crack tip is photographed by using the Cranz-Shardin type camera having $10^6$ fps rate. The dynamically propagating crack velocities and the shapes of isochromatic fringe loops are characterized for varying mixed load conditions in double cantilever beam (DCB) specimens. The dynamic interface crack tip complex stress intensity factors, $K_1\;and\;K_2$, determined by a hybrid-experimental method are found to increase as the load mixture ratio of y/x (vertical/horizontal) values. Furthermore, it is found that the dynamically propagating interface crack velocities are highly dependent upon the varying mixed mode loading conditions and that the velocities are significantly small compared to those under the mode I impact loading conditions obtained by Shukla (Singh & Shukla, 1996a, b) and Rosakis (Rosakis et al., 1998) in the USA.

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그래핀의 모드 I 균열에 대한 분자동역학 해석으로부터 균열 선단 응집 법칙의 평가 (Evaluation of Crack-tip Cohesive Laws for the Mode I Fracture of the Graphene from Molecular Dynamics Simulations)

  • 김현규
    • 한국전산구조공학회논문집
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    • 제26권5호
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    • pp.393-399
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    • 2013
  • 본 논문은 그래핀의 모드 I 균열 진전에 대한 분자동역학 해석과 수치보조장을 사용하는 영역 투영 방법의 역문제 해석 방법을 결합하여 균열 선단 응집 법칙을 평가하는 효율적인 방법을 제시하고 있다. 그래핀의 균열 선단 응집 법칙을 결정하는 것은 균열 선단에서 멀리 떨어진 영역의 변위를 사용하여 균열 면에서 미지의 응집 트랙션과 열림 변위를 구하는 역문제를 해석해야 하는데 상호 J-적분과 M-적분의 경로 보존성과 효율적인 수치보조장을 사용하는 방법을 적용하였다. 분자동역학 해석에서 원자 변위를 유한요소 절점 변위로 이동최소자승법을 사용하여 근사하였으며 안정적인 역문제 해석을 통하여 원자 단위의 거동을 연속체 해석으로 연결시킬 수 있는 새로운 방법을 보여주었다.

탄성균열 해석을 위한 이동최소제곱 유한차분법의 내적확장 (Intrinsic Enrichment of Moving Least Squares Finite Difference Method for Solving Elastic Crack Problems)

  • 윤영철;이상호
    • 대한토목학회논문집
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    • 제29권5A호
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    • pp.457-465
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    • 2009
  • 본 연구는 균열선단에서 응력특이성을 갖는 탄성균열문제를 해석하기 위한 이동최소제곱 유한차분법을 제시한다. 응력특이성을 유발하는 균열선단 주변장을 모형화하기 위해 근사식에 선단주변함수를 내재적으로 도입하여 이동최소제곱 근사의 틀을 그대로 유지하면서 실제 미분계산을 거의 하지 않고 미분근사를 할 수 있는 이동최소제곱 Taylor 다항식 근사의 장점을 살렸다. 균열문제 정식화시 시간소모적인 적분과정이 필요한 약정식화 대신 해석영역에 배치된 절점에서 지배 미분방정식에 대한 차분식을 직접 구성하는 강정식화를 적용하여 계산 효율성을 향상시켰다. 균열문제 해석을 통해 내적확장된 이동최소제곱 유한차분법이 응력 특이성을 내포한 선단주변 변위장을 정확히 묘사할 수 있을 뿐만 아니라 응력확대계수를 정확히 계산 할 수 있음을 보였다.

연강 용접열영향부의 소성변형거동에 관한 연구 1 (A Study on the Behaviour of Plastic Deformation in Weld HAZ of Mild Steel)

  • 박창언;정세희
    • Journal of Welding and Joining
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    • 제7권4호
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    • pp.38-45
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    • 1989
  • In this study, in order to evaluate the shape and the size of the plastic zone at the notch tip before stable crack growth, a newly developed technique for plastic strain measurement, that is, the recrystallization-etching technique was applied to observe the intense strain zone at the notch tip of weld HAZ. 1) The recrystallized specimens showed that the amount of the intense strain zone, more than 20% plastic zone, was quantitatively observed as the plane strain state during the growth of the plastic zone. 2) The behavior of plastic deformation at midsection are different for parent and weld HAZ. In addition, the micro crack initiation occurs at midsection, parent and weld HAZ when the crack opening displacement(COD) value is .delta.$_{t}$=0.4mm. 3) The plastic zone for parent proceeds in the forward direction at notch tip and for weld HAZ in the right and left direction at the notch tip. 4) The relation between plastic strain energy(Wp) and COD(.delta.$_{t}$) depended on yield stress, gradient and plastic strain size.ize.

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An Investigation about Dynamic Behavior of Three Point Bending Specimen

  • Cho, Jae-Ung;Han, Moon-Sik
    • 한국자동차공학회논문집
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    • 제8권4호
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    • pp.149-157
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    • 2000
  • Computer simulations of the mechanical behavior of a three point bend specimen with a quarter notch under impact load are performed. The case with a load application point at the side is considered. An elastic-plastic von Mises material model is chosen. Three phases such as impact bouncing and bending phases are found to be identified during the period from the moment of impact to the estimated time for crack initiation. It is clearly shown that no plastic deformation near the crack tip is appeared at the impact phase. However it is confirmed that the plastic zone near the crack tip emerges in the second phase and the plastic hinge has been formed in the third phase. Gap opening displacement crack tip opening displacement and strain rate are compared with rate dependent material(visco-plastic material). The stability during various dynamic load can be seen by using the simulation of this study.

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유체유동 외팔 파이프의 안정성에 미치는 크랙의 영향 (Effects of Crack on Stability of Cantilever Pipe Conveying Fluid)

  • 손인수;윤한익;김동진
    • 한국소음진동공학회논문집
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    • 제17권11호
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    • pp.1119-1126
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    • 2007
  • In this paper, the dynamic stability of a cracked cantilever pipe conveying fluid with tip mass is investigated. The pipe is modelled by the Euler-Bernoulli beam theory in which rotatory inertia and shear deformation effects are ignored. The equation of motion is derived by the energy expressions using extended Hamilton's Principle. The crack section is represented by a local flexibility matrix connecting two undamaged pipe segments. The influence of the crack severity, the position of crack, the mass ratio, and a tip mass on the stability of a cantilever pipe conveying fluid are studied by the numerical method. Besides, the critical flow velocity and the stability maps of the pipe system as a function of mass ratios($\beta$) for the changing each parameter are obtained.

An efficient computational method for stress concentration problems

  • Shrestha, Santosh;Ohga, Mitao
    • Structural Engineering and Mechanics
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    • 제22권5호
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    • pp.613-629
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    • 2006
  • In this paper a recently developed scaled boundary finite element method (SBFEM) is applied to simulate stress concentration for two-dimensional structures. In addition, a simple and independent formulation for evaluating the coefficients, not only of the singular term but also higher order non-singular terms, of the stress fields near crack-tip is presented. The formulation is formed by comparing the displacement along the radial points ahead of the crack-tip with that of standard Williams' eigenfunction solution for the crack-tip. The validity of the formulation is examined by numerical examples with different geometries for a range of crack sizes. The results show good agreement with available solutions in literatures. Based on the results of the study, it is conformed that the proposed numerical method can be applied to simulate stress concentrations in both cracked and uncracked structure components more easily with relatively coarse and simple model than other computational methods.