• 제목/요약/키워드: J integral

검색결과 783건 처리시간 0.031초

J-적분을 이용한 용접접합부 균열의 파괴 역학적 해석 (Fracture Mechanics Analysis of a Crack in the Weld using the J-integral)

  • 장경호;이진형
    • 한국강구조학회 논문집
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    • 제17권2호통권75호
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    • pp.243-251
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    • 2005
  • 용접접합부 균열의 파괴 역학적 해석을 위해서는 용접 중에 발생하는 잔류응력을 고려하여 해석이 수행되어야 한다. 잔류응력이 존재하면 J-적분은 더 이상 적분경로에 관계없이 일정한 값을 갖는 특성을 잃어버리게 된다. 그러므로 용접접합부 균열의 J-적분 해석을 위해서는 잔류응력이 존재하는 경우에도 적분경로에 관계없이 일정한 값을 갖는 새로운 J-적분식이 도입되어야 한다. 따라서 본 연구에서는 기존의 J-적분을 수정하여 잔류응력이 존재하는 경우에 경로 독립성을 유지하는 J-적분을 고찰하고, 이를 이용하여 잔류응력과 외력이 동시에 작용하는 균열선단에서의 J-적분을 해석할 수 있는 프로그램을 개발하였다. 자체개발한 탄소성 해석 프로그램을 이용하여 용접 시 잔류응력과 외력에 대한 응력분포를 계산하였으며, 이를 이용하여 잔류응력과 외력의 복합하중에 대한 J-적분을 계산하였다.

J-적분을 이용한 이종강재 용접접합부 계면균열의 파괴역학적 해석 (Fracture Mechanics Analysis of a Interface Crack in the Weld of Dissimilar Steels using the J-integral)

  • 이진형;장경호
    • 한국전산구조공학회논문집
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    • 제17권4호
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    • pp.423-431
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    • 2004
  • 용접접합부 균열의 파괴역학적 해석을 위해서는 용접중에 발생하는 잔류응력해석과 파괴해석이 병행되어야 한다. 잔류응력이 존재하면 J-적분은 더 이상 적분경고에 관계없이 인정한 값을 갖는 특성을 잃어버리게 된다. 또한 균질한 재료와는 달리 이종재료 계면균열에서는 균열선난에서 Mode I과 Mode II의 파괴거동이 동시에 발생한다. 그러므로 이종강재 용접접합부 균열의 J-적분 해석을 위해서는 이종강재 용접시 발생하는 잔류응력이 존재하는 경우에도 적분경로에 관계없이 일정한 값을 갖는 새로운 J-적분식이 도입되어야 한다. 따라서 본 연구에서는 기존의 J-적분을 수정하여, 이종강재 용접시 발생하는 잔류응력이 존재하는 경우에 경로 독립성을 유지하는 J-적분을 고찰하고, 이를 이용하여 잔류응력과 외력이 동시에 작용하는 균열선단에서의 J-적분을 해석할 수 있는 프로그램을 개발하였다. 자체개발한 탄소성 해석프로그램을 이용하여 이종강재 용접시 잔류응력과 외력에 대한 응력분포를 계산하였으며, 이를 이용하여 잔류응력과 외력의 복합하중에 대한 J-적분을 계산하였다.

반타원 표면균열 선단을 따른 참조응력 기반의 J-적분 예측 (Reference Stress Based J-Integral Estimates Along the Semi-Elliptical Surface Crack Front)

  • 김진수;심도준;김윤재;김영진
    • 대한기계학회논문집A
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    • 제28권6호
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    • pp.701-708
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    • 2004
  • This paper discusses applicability of the enhanced reference stress method to estimate J-integral along the semi-elliptical surface crack front. It is found that angular variations of normalized J­integral are strongly dependent on the geometry, loading mode and loading magnitude. As application of the reference stress approach to semi-elliptical surface cracks implies proportional increases in the normalized J-integral, the present results pose a question in applicability of the reference stress approach. However, investigation of the error in the estimated J-integral in the present work suggests that the enhanced reference stress approach, recently proposed by authors, provides an effective engineering tool fur estimating crack driving force along the semi-elliptical surface crack front.

SUS304강의 사이클의존형에서 시간의존형균열성장으로의 천이에 관한 연구 (A Study on Transition From Cycle-dependent to Time-dependent Crack Growth in SUS304 Stainless Steel)

  • 주원식;조석수
    • Journal of Welding and Joining
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    • 제14권1호
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    • pp.38-46
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    • 1996
  • High temperature low cycle fatigue crack growth behavior is investigated over a range of two temperatures and various frequencies in SUS 304 stainless steel. It is found that low frequency and temperature can enhance time-dependent crack growth. With high temperature, low frequency and long crack length, ${\Delta}J_c/{\Delta}J_ f$, the ratio of creep J integral range to fatigue J integral range is increased and time-dependent crack growth is accelerated. Interaction between ${\Delta}J_f$ and ${\Delta}J_c$ is occured at high frequency and low temparature and ${\Delta}J_c$, creep J integral range is fracture mechanical parameter on transition from cycle-dependent to time dependent crack growth in creep temperature region.

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균열(龜裂)을 가진 사각평판(四角平板)의 수치해법(數値解法)에 의(依)한 J-적분치(積分値) (Numerical Analysis of J-integral Value in the Rectangular Plate with a Crack)

  • 김동섭;박종은
    • 대한조선학회지
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    • 제21권2호
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    • pp.35-42
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    • 1984
  • A line integral is exhibited which has the same value for all paths surrounding the tip of crack in a two dimensional strain field of elastic-plasticc material. Finite element method was used to determine Rice's J-integral value in centrally cracked plate. These numerical J-integral values were compared with corresponding values of reference with low hardening and high yield strength. The J-integral value was also computed for a crack extension and different load condition. For increasing crack length the value of J-integral also increases, this means that the crack is unstable. To prove path independent, three paths were used in the analysis and proved.

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J-적분을 이용한 용접부 강도 해석 (A Strength Analysis of Welded Plates Using the J-integral)

  • 이민호;양영수
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2000년도 추계학술대회 논문집
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    • pp.326-329
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    • 2000
  • Study of Weldment fracture behavior mcludes thermal analysis, residual stress analysis, and fracture analysis The 1-integral loses its path-independency in a res~dual stress field Therefore, it id necessary to develop a program to calculate the J-integral in a welded plate. m this study, theoretical formulation and program were developed for the evaluation of the 1-integral at the crack tip o i weldments. To verify equations and program, welded thin plate and thick plate were used to calculate residual stress and the J-integral.

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J-integral calculation by domain integral technique using adaptive finite element method

  • Phongthanapanich, Sutthisak;Potjananapasiri, Kobsak;Dechaumphai, Pramote
    • Structural Engineering and Mechanics
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    • 제28권4호
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    • pp.461-477
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    • 2008
  • An adaptive finite element method for analyzing two-dimensional and axisymmetric nonlinear elastic fracture mechanics problems with cracks is presented. The J-integral is used as a parameter to characterize the severity of stresses and deformation near crack tips. The domain integral technique, for which all relevant quantities are integrated over any arbitrary element areas around the crack tips, is utilized as the J-integral solution scheme with 9-node degenerated crack tip elements. The solution accuracy is further improved by incorporating an error estimation procedure onto a remeshing algorithm with a solution mapping scheme to resume the analysis at a particular load level after the adaptive remeshing technique has been applied. Several benchmark problems are analyzed to evaluate the efficiency of the combined domain integral technique and the adaptive finite element method.

CORRELATION BETWEEN J-INTEGRAL AND CMOD IN IMPACT BEHAVIOR OF 3-POINT BEND SPECIMEN

  • Han, M.S.;Cho, J.U.
    • International Journal of Automotive Technology
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    • 제7권3호
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    • pp.337-343
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    • 2006
  • Numerical calculations are made in order to find a possible correlation between the J-integral and the crack mouth opening displacement(CMOD) in dynamic nonlinear fracture experiments of 3-point bend(3PB) specimens. Both elastic-plastic and elastic-viscoplastic materials are considered at different impact velocities. The J-integral may be estimated from the crack mouth opening displacement which can be measured directly from photographs taken during dynamic experiments.

$\Delta$J 적분의 경로독립성에 관한 연구 (Study on the Path Independency of $\Delta$J Integral)

  • 김태순;박재학;윤기봉
    • 한국안전학회지
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    • 제11권2호
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    • pp.16-24
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    • 1996
  • In this study we simulate the fatigue test of a compact tension specimen and obtain the displacements, stresses and strains by using the finite element method. And we examine the path independency of $\Delta$J integral values and compare it with $\Delta$J integral values calculated from load-load line displacement curve. From the results of this study, we can find that $\Delta$J integral show the path Independency for saturated materials. We can also find that the path independency of $\Delta$J Is not satisfied when different material Is assumed near the crack tip, but the difference in $\Delta$J is small. And $\Delta$J integral values calculated from load-load line displacement is very analogous with those from integration path but always have lower values than those from integration paths. In the case of crack closing, we found that $\Delta$J integral values from load-load line displacement should be calculated with the load Increment values based on the crack opening point. The unsaturated material is also simulated and its $\Delta$J shows different values according to the path, but the difference is small.

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J-적분을 이용한 후판 부분용입 다층용접재의 파괴 해석 (Fracture Analysis of Thick Plate for Partial Penetration Multi-pass Weldment Using J-integral)

  • 김석;송정일
    • 대한기계학회논문집A
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    • 제26권2호
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    • pp.300-307
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    • 2002
  • Partial penetration welding joint is defined as groove welds welded from one side, without steel backing or groove welds welded from both sides but without back gouging. So it has an unwelded portion at the root of the weld. Study of partial penetration weldment fracture behavior includes residual stress analysis and fracture analysis. The J-integral loses its path independency in residual stress field. Therefore, it is necessary to introduce a new J-integral, J, which is defined including the effect of plastic deformation and thermal strain. In this study, theoretical formulation and program were developed for the evaluation of J-integral for the crack tip located in the weldment. Evaluations of fracture behavior were performed for partial penetration multi-pass weldment of 25.4mm thick plate by J-integral. From a point of fracture in partial penetration multi-pass welding, it seemed to be better to control root face smaller than 6.35mm.