• 제목/요약/키워드: $J_k$ integral

검색결과 442건 처리시간 0.051초

구름 및 미끄럼 접촉하의 중공원판의 표면하층균열에 대한 J-적분 (J-integral for subsurface crack in circular plate with inner hole under rolling and sliding contact)

  • 이강용;김준엽
    • 대한기계학회논문집A
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    • 제21권7호
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    • pp.1149-1155
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    • 1997
  • J-integral for a subsurface horizontal crack in a circular plate with an inner hole under rolling line contact is evaluated according to loading positions with various load conditions, crack length and crack location. Two-dimensional crack is modeled, and the relation between Tresca stress for uncracked model and J-integral is discussed. The loading location which gives the maximum J-integral depends on load condition and crack location, and the presence of friction force increases Tresca stress and J-integral near the surface. Regardless of friction force, crack location that gives maximum J-integral is the same as that of maximum Tresca stress in an uncracked model, and the value of J-integral is propotional to crack length. It is also showed that the variation of an inner radius of a disk does not effect J-integral value.

J 적분을 이용한 압전세라믹의 절연파괴 해석 (Breakdown Analysis of Piezoelectric Ceramics Using J Integral)

  • ;김유환;범현규
    • 한국정밀공학회지
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    • 제26권1호
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    • pp.105-111
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    • 2009
  • Dielectric breakdown in piezoelectric ceramics is analyzed by using the three dimensional J integral. The J integral is shown to be a path-independent surface integral for a conductive tubular channel in a piezoelectric material. J integrals are also numerically calculated for conductive defects and tubular channels in piezoelectric ceramics through finite element analysis.

기기 건전성 평가를 위한 3차원 J-적분 계산 전산코드 응용평가 연구 (Development of 3-D J-Integral Calculation Method for Structural Integrity Evaluation)

  • 김영진
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1999년도 추계학술대회 논문집 학회본부 A
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    • pp.450-454
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    • 1999
  • In order to evaluate the integrity of nuclear power plants, J-integral calculation is crucial. For this purpose, finite element method is popularly used to obtain J-integral. However, high cost time consuming preprocess should be performed to design the finite element model of a cracked structure. Also, the J-integral should be verified by alternative method since it may differ depending on the calculation method. The objective of this paper is to develop a three-dimensional elastic-plastic J-integral analysis system which is named as EPAS. The EPAS program consists of an automatic mesh generator for a through-wall crack and a surface crack, a solver based on ABAQUS program, and a J-integral calculation program which provides DI(Domain Integral) and EDI(Equivalent Domain Integral) based J-integral calculation. Using the EPAS program, an optimized finite element model for a cracked structure can be generated and corresponding J-integral can be obtained subsequently.

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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.

J 적분을 이용한 뼈와 유사한 재료의 파괴 해석 (Fracture Analysis of Bone-Like Materials Using J integral)

  • 이창우;;범현규
    • 한국정밀공학회지
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    • 제27권9호
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    • pp.52-57
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    • 2010
  • The analysis of a crack in a bone-like material is performed numerically. The bone-like material is hierarchically structured and each hierarchy is structured by mineral platelets and protein matrix through staggered arrangement. Mechanical behavior of the composite can be analyzed using tension shear chain model. The Dugdale model is adopted to evaluate the fracture energy of Bone-like material. The fracture energy dissipation is assumed to concentrate within a strip near the crack tip along the prospective crack path. Fracture criterion of the bone-like material is estimated by using J integral. Effects of hierarchical level, ratio of elastic modulus of mineral to protein, aspect ratio of mineral platelet and volume fraction on J integral are investigated. It is found that the J integral decreases as elastic modulus ratio and hierarchy level increase. It is also shown that the J integral increases as the volume fraction and aspect ratio decrease.

A new formulation of the J integral of bonded composite repair in aircraft structures

  • Serier, Nassim;Mechab, Belaid;Mhamdia, Rachid;Serier, Boualem
    • Structural Engineering and Mechanics
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    • 제58권5호
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    • pp.745-755
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    • 2016
  • A three-dimensional finite element method is used for analysis of repairing cracks in plates with bonded composite patch in elastic and elastic plastic analysis. This study was performed in order to establish an analytical model of the J-integral for repair crack. This formulation of the J-integral to establish models of fatigue crack growth in repairing aircraft structures. The model was developed by interpolation of numerical results. The obtained results were compared with those calculated with the finite element method. It was found that our model gives a good agreement of the J-integral. The arrow shape reduces the J integral at the crack tip, which improves the repair efficiency.

FEM에 의한 CT시험편의 J 적분 해석에 관한 연구 (Evaluation of the J integral of a CT specimen by FEM)

  • 김원범
    • 한국산학기술학회논문지
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    • 제15권11호
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    • pp.6440-6445
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    • 2014
  • 선박 해양플랜트를 비롯한 강구조물에서는 건조중 형성된 결함이나 사용중에 가해지는 여러 가지 하중등에 의하여 균열을 비롯한 손상이 발생한다. 따라서 균열의 해석을 위하여 균열의 세기를 여러 가지 방법으로 평가하며, 파괴역학적 수법에 의한 응력확대계수 K도 그 중의 한가지 방법이다. 본 연구에서는 이러한 목적으로 사용되는 강구조물용 강재의 응력확대계수 K의 평가를 위하여 특히 CT시험편에 대하여 J 적분을 사용하여 평가를 실시하였다. CT시험편의 J 적분의 평가에는 inhouse FEM program을 사용하였으며, 859개의 node 와 1618개의 element로 해석을 실시하였다. 계산결과 본 연구에서의 해석결과는 ASTM에서 제시하는 식에 의한 K값과 99%정도의 일치도를 나타내었다. 이상으로부터 본 연구에서의 시험편에 대하여 사용한 mesh size로 충분한 정도의 균열 해석이 가능함을 알 수 있었다.

선형 이방성 평면 균열에서의 $J_k$ 계산 (Evaluation of $J_k$ integral for a plane crack in a rectilinear anisotropic body)

  • 안득만
    • 대한기계학회논문집
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    • 제15권6호
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    • pp.1792-1798
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    • 1991
  • 본 연구에서는 균열 끝을 포함하는 선 적분을 행하여 $J_{k}$ 구한 다음 이방 성 재료에서의 탄성계수 상호간의 관계를 이용하여 $J_{k}$를 탄성계수와 응력확대계 수 $K_{I}$, $K_{II}$ 로 간단히 표현 하고자 한다. 이 결과는 선형탄성 이방성 재 료에서 수치적으로 응력확대계수를 구하는 데 있어 기초 자료로 활용 될 것으로 생각 된다.다.다.다.

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.