• Title/Summary/Keyword: 균열 길이

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A Stress-Based Gradient Elasticity in the Smoothed Finite Element Framework (평활화 유한요소법을 도입한 응력기반 구배 탄성론)

  • Changkye Lee;Sundararajan Natarajan
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.37 no.3
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    • pp.187-195
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    • 2024
  • This paper presents two-dimensional boundary value problems of the stress-based gradient elasticity within the smoothed finite element method (S-FEM) framework. Gradient elasticity is introduced to address the limitations of classical elasticity, particularly its struggle to capture size-dependent mechanical behavior at the micro/nano scale. The Ru-Aifantis theorem is employed to overcome the challenges of high-order differential equations in gradient elasticity. This theorem effectively splits the original equation into two solvable second-order differential equations, enabling its incorporation into the S-FEM framework. The present method utilizes a staggered scheme to solve the boundary value problems. This approach efficiently separates the calculation of the local displacement field (obtained over each smoothing domain) from the non-local stress field (computed element-wise). A series of numerical tests are conducted to investigate the influence of the internal length scale, a key parameter in gradient elasticity. The results demonstrate the effectiveness of the proposed approach in smoothing stress concentrations typically observed at crack tips and dislocation lines.

Evaluation for Rock Cleavage Using Distribution of Microcrack Spacings (IV) (미세균열의 간격 분포를 이용한 결의 평가(IV))

  • Park, Deok-Won
    • The Journal of the Petrological Society of Korea
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    • v.26 no.2
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    • pp.127-141
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    • 2017
  • Jurassic granite from Geochang was analysed with respect to the characteristics of the rock cleavage. The multicriteria evaluation for the six directions of rock cleavages was performed using the microcrack spacing-related parameters derived from the enlarged photomicrographs (${\times}6.7$) of the thin section and the spacing-cumulative frequency diagrams. The results of analysis for the representative values of these spacing parameters with respect to the rock cleavage are summarized as follows. First, the analysis for deriving the main parameter indicating the order of arrangement among six diagrams was performed. The values of five parameters with respect to six directions of the rock cleavages were arranged in increasing or decreasing order for the above analysis. The decreasing order of the values of main parameter(mean spacing-median spacing, $S_{mean}-S_{median}$) and mean spacing are consistent with the order of H1, H2, G1, G2, R1 and R2 directions. These sequential arrangements of six directions of the rock cleavages can provide a basis for those of the six diagrams related to spacing. Second, the nine correlation charts between the above main parameter and various parameters were arranged in decreasing order of correlation coefficient ($R^2$). These related charts shows a high correlation of power-law function in common. The values of mean spacing, density (${\rho}$) and length of line oa are directly proportional to the value of main parameter, while the values of constant (a), exponent (${\lambda}$), spacing frequency (N), length of line oa', slope of exponential straight line (${\theta}$) and total length ($1mm{\geq}$) are inverse proportional. Third, the results of correlation analysis between the values of parameters for three planes and those for three rock cleavages are as follows. The values of frequency, total spacing, constant, exponent, slope and length of line oa' for three planes and three rock cleavages show an order of R' < G' < H' and H < G < R, respectively. On the other hand, the values of mean spacing, (mean spacing-median spacing), density and length of line oa show an order of H' < G' < R' and R < G < H, respectively. The correlation of the mutually reverse order of the values of parameters between three planes and three rock cleavages can be drawn. This type of correlation analysis is useful for discriminating three quarrying planes.

Influences of Fiber Laminate Orientation on the Behavior of Fatigue Delamination in GLARE (GLARE 의 섬유층 배향이 피로층간분리 거동에 미치는 영향)

  • 황진우;송삼홍;김철웅
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2004.10a
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    • pp.479-482
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    • 2004
  • The behavior of fatigue delamination in a GLARE(Glass Fiber Reinforced Metal Laminates) under fatigue loading conditions investigated. The behavior of fatigue delamination was examined basing on investigation of the crack and delamination using a SAM (Scanning Acoustic Microscope). The crack and delamination behavior on the relationship among a-N, SAM images and crack length-delamination length were considered. The test results indicated the features of different fatigue delamination and crack growth according to each fiber orientation angle and also obtained to more increase delamination than crack through the relationship between crack length and delamination length in GLARE.

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Analysis on the Fracture Mechanisms of SFRC under Tension (강섬유보강 콘크리트의 인장파괴메카니즘에 대한 이론연구)

  • 김규선;이차돈;심종성;최기봉;박제선
    • Magazine of the Korea Concrete Institute
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    • v.5 no.2
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    • pp.141-150
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    • 1993
  • 콘크리트내에 짧은 길이를 갖고 임의의 방향으로 배향된 강섬유는 콘크리트가 인장응력을 받을 때 일반콘크리트에 비하여 인장강도와 연성을 증가시키며 이는 콘크리트모체내 강섬유의 균열억제메카니즘에 기인한다. 본연구에서는 기존의 각기다른 spacing 개념들에 의하여 SFRC의 인장강도를 예측하고 정확한도를 실험치와 비교하여 평가하였는데 시험체의 경계조건 및 타설시의 진동으로 인한 콘크리트내 강섬유의 재향성을 고려한 단위면적당 섬유수(N1)개념이 실행결과와 가장 좋은 상관관계를 나타내었다. 또한 SFRC의 강도후 영역에 대한 이론적인 해석이 고려되었으며 본 해석은 시험체의 경계조건, 진동효과, 콘크리트모체와 강섬유의 강섬유의 접촉면의 비선형부착특성 고려 및 특히 위험단면에서 매입길이가 다른 각 강섬유의 적합조건을 고려하였다.

A Study on the Measurement of the Crack Length for the Real Scale Pipe Specimen (실배관 시험편의 균열 길이 측정에 관한 연구)

  • Park, Jae-Sil;Seok, Chang-Sung
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.397-402
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    • 2003
  • Fracture resistance curves for concerned materials are required in order to perform elastic-plastic fracture mechanical analyses. Fracture resistance curve is built with J-integral values and crack extension values. The objective of this paper is to apply the load ratio method to the measurement of the crack length for the real scale pipe specimen. For these, the fracture test using the real scale pipe specimen and finite element analyses were performed. A 4-point bending jig was manufactured for the pipe test and the direct current potential drop method and the load ratio method was used to measure the crack extension and the length for the real scale pipe test. Finite element analyses about the compliance of the pipe specimen were executed for applying the load ratio method according to the crack length.

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Calculation of the Crack Length for a Pipe Specimen using the Modified Load Ratio Method (수정된 하중비법을 이용한 배관 시험편의 균열 길이 계산)

  • Choi, Jung-Hun;Huh, Yong;Koo, Jae-Mean;Seok, Chang-Sung;Park, Jae-Sil
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.33 no.12
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    • pp.1375-1382
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    • 2009
  • The objective of this paper is to apply the load ratio method to the measurement of the crack length of the real scale pipe specimen. The load ratio method was modified and finite element analyses were performed to derive the relationship between the normalized compliance and the normalized crack length for the pipe specimen. In order to measure the crack length, the direct current potential drop method and the modified load ratio method were applied to the pipe test. The applicability of the modified load ratio method was confirmed by comparing the calculated crack length with the measured crack length from the pipe experiment.

A Numerical Study on the Shock Resistance Test of Aluminium 2519 Plate (알루미늄 2519 판재의 충격저항성 평가에 대한 수치 해석적 연구)

  • Koo Man-Hoi;Woo Ho-Gil
    • Journal of the Korea Institute of Military Science and Technology
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    • v.7 no.3 s.18
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    • pp.11-20
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    • 2004
  • In this paper, the acceptance criteria(Striking Velocities) for the A12519 weldments have been developed. Dynamic impact simulation of A12519 plate was achieved by using LS-DYNA, and predict the projectile velocity and the crack length. Also, Ballistic impact tests of A12519 plate have been performed, and compared with analysis results. Critical velocities of A12519 plate were acquired respectively, and striking velocities of A12519 weldments were calculated. Present work data will be used by basic data in ballistic impact test for A12519 weldments.

A Study on Cutting Behavior of Plate Glass Using a Piezoelectric Ceramics Actuator (압전 세라믹을 이용한 평판유리의 절단 거동에 관한 연구)

  • Lee K.W.;Jea T.J.;Choi S.D.;Jeong S.H.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2006.05a
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    • pp.249-250
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    • 2006
  • Recently FPD(Flat Panel Display) is used in various field to display enormous information. So cutting technique of flat panel display is needed for producing variety display merchandises. In present, cutting methods of flat panel glass includes breaking process. But this process occurs many glass particles. This glass particles are directly related badness of merchandise and falling productivity. In this paper, to cut front substrate glass of LCD and to get optimized cutting condition are tried fur eliminating breaking process with developed glass cutting machine using a Piezoelectric ceramics actuator. It is known that the vibration of Piezoelectric Ceramic have effect in crack proceeding through the analysis of fracture section.

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A Study on the Shock Behavior of Aluminium 2519 Weldments (알루미늄 2519 용접부의 충격거동에 관한 연구)

  • Koo Man-Hoi;Lee Chang-Hyun;Gimm Hak-In;Woo Ho-Gil
    • Journal of the Korea Institute of Military Science and Technology
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    • v.8 no.1 s.20
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    • pp.5-13
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    • 2005
  • In order to evaluate the credibility of the welded joint design for combat vehicle using A12519, the numerical analysis for the joint model has been studied and the results are compared with the experimental works by the impact projectiles. The numerical approach using LS-DYNA involves the process of the crack initiation and propagation as well as the applications of the failure criteria for both the ductile and brittle failures. The good agreement between the numerical and experimental works are proved.

A Study on the Measurement of Crack Length of Pipe Specimen Using Image Processing (이미지 프로세싱을 이용한 실배관 시험편의 균열 길이 측정에 관한 연구)

  • Kang, Min-Sung;Koo, Jae-Mean;Seok, Chang-Sung;Huh, Yong
    • Journal of the Korean Society of Safety
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    • v.25 no.2
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    • pp.7-11
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    • 2010
  • Difficulties associated with full-scale pipe tests are rather obvious. That is, it is not only difficult to perform them but also very expensive and it requires lots of experience. And the process of the fracture test for the pipe specimen is very difficult and complicated. Because the pipe specimen, the test jig and the test equipment are very large and heavy, it requires lots of costs and times. In this study, to easily perform the fracture toughness test for a pipe specimen, load line displacement data was obtained using the image processing method.