• Title/Summary/Keyword: J 적분법

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p-Version Finite Element Analysis of Elasto-Plastic Cracked Plates Including Strain Hardening Effects (변형률 경화효과를 고려한 탄소성 균열판의 p-Version 유한요소해석)

  • 우광성;홍종현;윤영필
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.4
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    • pp.537-549
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    • 1999
  • 선형탄성 파괴해석은 균열을 갖는 변형률 경화재료의 파괴거동을 예측하는데 불충분하기 때문에 최근에는 균열 선단 부에서 대규모 소성 역을 갖는 균열 체에 적용할 수 있는 많은 파괴역학개념이 제안되고 있다. 따라서, 본 연구에서는 대규모항복 조건하의 연성파괴를 보이는 평판을 정확하게 해석할 수 있는 새로운 유한요소모델을 제시하고자 한다. 균열 선단 부의 응력 장을 정의하는데 가장 지배적인 파괴매개변수인 J-적분 값과 소성 역의 크기 및 형상을 J-적분법과 등가영역적분법을 통해 파괴거동을 설명할 수 있도록 증분소성이론에 기초를 둔 p-version 유한요소해석이 채택되었다. 제안된 유한요소모델에 의한 수치해석결과는 이론 해와 h-version 유한요소해석과 비교되었다.

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A study on the estimation of fracture toughness of granite by acoustic emission (미소 파괴음 빈도 측정에 의한 화강암의 파괴인성 평가에 관한 연구)

  • 신재근;이상은;임한욱
    • Tunnel and Underground Space
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    • v.10 no.2
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    • pp.227-236
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    • 2000
  • The fracture toughness can be measured by the two testing methods using chevron-notched specimen according to the ISRM Working Group of Commission of Testing Methods. They are chevron bend (CB) test and short rod (SR) test. In this study, the suggested methods (Level I tests) were conducted on the CB and SR specimens of Chuncheon granite. In addition. the J-integral analysis was combined with an acoustic emission technique to determine the fracture toughness. The results from two telling methods were analyzed in terms of the anisotropy and the acoustic emission characteristics.

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Fracture Analysis of Weldments Using the J-integral (J-integral을 위한 용접부 파괴해석)

  • Shim, Yong-Lae
    • Journal of Ocean Engineering and Technology
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    • v.7 no.1
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    • pp.3-12
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    • 1993
  • 용접부의 파괴특성을 J-적분을 이용하여 유한요소법으로 해석하였다. 용접부 의 열전달 해석 및 응력해석을 수행한후 crack을 도입하여 crack 주위의 자류응력 해석을 통하여 crack tip에서의 J- 적분치를 계산하였다. 이차원 및 삼차원에서의 파괴해석을 위한 modeling 과정을 소개하였으며 대표적인 계산결과를 소개하였다.

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A Study on the Calculation of Stress Intensity Fantors considering Pressure of Crack-Face (균열면의 압력을 고려한 응력확대계수의 결정에 관한 연구)

  • 진치섭;최현태;이홍주
    • Magazine of the Korea Concrete Institute
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    • v.7 no.3
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    • pp.175-186
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    • 1995
  • The determination of the stress intensity factors is investigated by sur-face integral method around the crack tip of the nlass~vc: concrete structure. The surface integral met hod is naturally derived from the standal-ci path integral J. Howevcr. In the J integral method, pressure in the crack-face and body forces can not be considered, while this theory has advantage of ccmsidering many kind of forces, so t.his theory will be useful in investigating more accurate strt:ss states around crack tip. Furthermore. t h~s rrlethod can elerninate unntussary process of using singular elements and fine mesh around crack tip which is used 11; modelling the singularity around crack tip. A computer program for determming $K_I$, $K_{II}$ is tfcvulopcd by applying this theory. $K_I$, $K_{II}$ values usmg X noded isoparametric elements which was proved and variation of the stress intensity factor was investigated by application of darn structures.

J-Integral under Transient Temperature State (천이온도 상태에서의 J적분)

  • 이강용;박정수
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.6
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    • pp.1781-1791
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    • 1991
  • For the cracked plate under transient temperature distribution, J-integral is expressed in the form of line integral by using convolution integral. The J$_{1}$ integral is calculated for a through line center cracked steel plate under thermal and mechanical loading conditions and the calculated values are in good agreement with previous results. The effect of inertia term on the J$_{1}$ integral is not negligible for a glass but for a steel. For the glass plate, the rates of J$_{1}$ integral value to time increase if the values of material properties such as specific heat, thermal conductivity, thermal diffusivity and Young`s modulus as well as crack length and temperature difference in cracked edge increase.

Application of p-Version Crack Model Based on J-integral Method in LEFM Analysis (선형탄성 파괴역학해석에서 J-적분법에 의한 p-Version 균열모델의 적용)

  • 이채규;우광성;김영인
    • Computational Structural Engineering
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    • v.8 no.4
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    • pp.137-148
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    • 1995
  • A new path independent contour integral formulus for the distinct calculation of mode I stress intensity factors in two dimensional linear elastic fracture mechanics problems is presented. This method is based on p-convergence concepts and can be easily appended to existing finite element computer codes. In this study, the stress state at crack tip has been investigated and the path independence of J-integral values has been tested with respect to different contours expressed by normalized distance apart from the crack tip. Numerical results by p-convergence for the problems such as centrally cracked panels, single and double edged cracks in rectangular panels have been compared with those by the conventional h-convergence. The comparison demonstrates the accuracy and stability of the proposed method.

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Post-Processing Technique on the Determination of Crack Tip Stress Intensity Factors (균열선단 응력확대계수 결정을 위한 후처리기법)

  • Jin, Chi Sub;Jang, Heui Suk
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.11 no.1
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    • pp.17-27
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    • 1991
  • The determination of the stress intensity factors is investigated by means of a surface integral defined around the crack tip of the structure. It has been shown in this work that this integral is derived from the standard path integral J. The use of the surface integral has also been extended to the case where body forces act. Computer program obtaining the stress intensity factors $K_I$ and $K_{II}$ is developed, which prepares input variables from the result of the conventional finite element analysis. This paper provides a parabolic smooth curve function. By the use of the function and conventional element meshes in which the aspect ratio (element length/crack length)is about 25 percent, relatively correct $K_I$ and $K_{II}$ values can be obtained for the exterior radius ranging from 1/3 to 1 of the crack length.

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J-Integral Estimate for Circumferential Cracked Pipes Under Primary and Secondary Stress in R6, RCC-MR A16 (원주방향 균열 배관에 대한 R6, RCC-MR A16 코드에 의한 1,2 차 복합 하중하에서 J-적분 비교)

  • Nam, Hyun Suk;Oh, Chang Young;Kim, Yun Jae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.37 no.5
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    • pp.631-640
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    • 2013
  • This paper provides a comparison of the J-integral estimation method under combined primary and secondary stress in the R6, RCC-MR A16 code. The comparisons of each code are based on finite element analysis using ABAQUS with regard to the crack shape, crack depth, and magnitude of secondary load. The estimate of the R6 code is conservative near $L_r=1$, and that of the RCC-MR A16 code is conservative near $L_r=0$. As a result, this paper proposes a modified method of J-integral estimation in the R6, RCC_MR A16 code. The J-integral using the modified method corresponds to the finite element analysis result.

The Effects of CCT Specimen Geometry and Loading Condition on the J-Integral (CCT시편의 형상과 하중조건이 J 적분에 미치는 영향)

  • 이억섭;김종호
    • Journal of the Korean Society for Precision Engineering
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    • v.20 no.2
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    • pp.154-161
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    • 2003
  • The effects of specimen geometry, and loading conditions on the J-integral fur CCT (center cracked tension) specimens are investigated by using FEM. It is found that the J-integral tends to decrease according to the parallel tensile loading to crack line. Furthermore, it is verified that the compressive parallel loading to crack line is likely to increase the J-integral. A stress ratio of length to width of the center CCT specimen is confirmed to affect the J-integral significantly.

Evaluation of Shape Parameter Effect on the J-R Curve of Curved CT Specimen Using Limit Load Method (한계하중법을 이용한 Curved CT 시험편의 파괴저항곡선에 미치는 형상변수 영향 평가)

  • Shin, In Hwan;Park, Chi Yong;Seok, Chang Sung;Koo, Jae Mean
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.38 no.7
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    • pp.757-764
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    • 2014
  • In this study, the effect of shape parameters on the J-R curves of curved CT specimens was evaluated using the limit load method. Fracture toughness tests considering the shape factors L/W and $R_m/t$ of the specimens were also performed. Thereafter, the J-R curves of the curved CT specimens were compared using the J-integral equation proposed in the ASTM (American Society for Testing and Materials) and limit load solution. The J-R curves of the curved CT specimens were also compared with those of the CWP (curved wide plate), which is regarded to be similar to real pipe and standard specimens. Finally, the effectiveness of the J-R curve of each curved CT specimen was evaluated. The results of this study can be used for assessing the applicability of curved CT specimens in the accurate evaluation of the fracture toughness of real pipes.