• Title/Summary/Keyword: Crack ratio

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The Optimal Method to Determine Damage Threshold of Rock using Hwangdeung Granite (황등화강암을 이용한 암석의 손상기준 결정방법 연구)

  • Jang, Bo-An;Ji, Hoon;Jang, Hyun-Shic
    • The Journal of Engineering Geology
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    • v.20 no.1
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    • pp.89-100
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    • 2010
  • Although various methods for determination of damage threshold in rock have been suggested, clear damage thresholds were determined by some methods, but different thresholds were measured by other methods. We determined the damage thresholds in Hangdeung granite using all the methods suggested, and investigated the best methods, applicability and errors of each method. The crack initiation threshold and the crack damage threshold which are important in investigation of characteristics of crack development and failure were verified by field strength ratio method and long-term constant load test. The crack closure stress and the crack initiation stress were 57.5 MPa and 77.6 MPa, and the most exact values were yielded by crack volumetric strain. The secondary crack initiation stress was 90.6 MPa and AE event count and AE event count rate were the effective methods. The volumetric stiffness, AE event count and AE event count rate were the most effective methods for determination of crack coalescence threshold and crack coalescence stress was 110.3 MPa. The crack damage stress was 127.5 MPa and was measured correctly by volumetric stiffness and AE event count rate. The ratio between crack initiation stress and uniaxial compressive strength was 0.47 which was very similar with the FSR value of 0.46. The ratio between crack damage stress and uniaxial compressive strength was almost the same as the ratio between long-term strength and uniaxial compressive strength, indicating that the crack initiation stress and the crack damage stress measured were correct.

A Study on the Design of Fatigue Strength using Fractal Character of Surface Micro-crack (표면미소균열의 프랙탈 특성을 이용한 피로강도설계에 관한 연구)

  • Cho, Seok-Swoo;Joo, Won-Sik
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.12
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    • pp.143-151
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    • 1999
  • The shape of surface micro-crack is very irregular due to nonhomogeneous microstructure but is very important in respect to qualitative estimation of fatigue life. Fractal geomety can quantify the shape of surface mciro-crack. Fractal dimension is measured for surface micro-cracks with coast line and box counting method and estimates cycle ration in Al 2024-T3. The average fractal dimension $D_{favg}$ of surface micro-cracks has 3-parameter weibull distribution and location parameter is nearly constant but shape parameter decreases as cycle ration increases. The fractal dimension by coast line method is measured for individual surface micro-crack but the fractal dimension by box countin method is measured for all the surface micro-cracks under sampling area. Therefore, This paper shows fractal dimension $D_{fb}$ can predict cycle ratio $N/N_f$ more convenient than fractal dimension $D_{favg}$.

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A Study on tho Effcct of Strcss Ratio on Fatigue Crack Growth Behavior (피로성장거동의 응력비 영향에 관한 연구)

  • 최용식;한지원;김규성
    • Journal of the Korean Society of Safety
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    • v.6 no.3
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    • pp.21-26
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    • 1991
  • In this study, a crack closure behavior of Al-alloy 5052-H38 was investigated. The fatigue test was performed by the four-point bending test under the contast amplitude load. Stress ratio R was changed from-1.0 to 0.5. To mcasure the fatigue crack opening point, the graph of load vs. subtracted displacement by computer program was obtained from the X - Y plotter. In order to gain the displacement data, a strain gage was attached at the back surface against the notched side. Uslng the conception of crack closure and influence of on crack growth rate a model for crack growth rate is developed for Al-alloy 5052-H38.

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Evaluation of Stress Intensity Factor after Penetration of Plate with Long Surface Crack (긴 표면균열재의 관통후 응력확대계수 평가)

  • Nam Kiwoo;Lee Jongrark
    • Journal of the Korean Institute of Gas
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    • v.4 no.1 s.9
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    • pp.33-39
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    • 2000
  • Stress intensity factor after penetration was discussed experimentally using long surface pre-cracked specimens of aluminum alloy 5083. The propagation behavior evaluation of long surface crack by equation proposed at penetration of short surface crack could be need modification to evaluate precisely because the error was high as aspect ratio is little. The modification of stress intensity factor with consideration of aspect ratio at penetration of long surface crack can be analyzed the behavior of crack penetration quantitatively.

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Analysis of Mixed Mode Surface Crack in Finite-Width Plate Subjected to Uniform Shearing by Boundary Element Method (경계요소법에 의한 포물선형 인장과 비틀림을 받는 유한폭 판재의 혼합 Mode 표면균열에 대한 해석)

  • Park, Seong-Wan;Hong, Jae-Hak
    • Journal of the Korean Society for Precision Engineering
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    • v.7 no.4
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    • pp.103-116
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    • 1990
  • The mixed mode surface crack in finite-width plate subjected to uniform shearing has been analyzed in 3-D problem by using boundary element method. The calculations were carried out for the surface crack angles (${\alpha}$) of $0^{\circ}, 15^{\circ}, 30^{\circ}, 45^{\circ}, 60^{\circ}, and 75^{\circ}, $ and for the aspect ratio(a/c) of 0.2, 0.4, 0.6 and 1.0 to get stress intensity factors at the boundary points of the surface crack. For the aspect ratio of 1.0 and the surface crack angles, finite element method was used to check the results in this in this study. Comparison of the results from both method showed good agreement.

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Analysis of Mixed Mode Surface Crack in Finite-Width Plate Subjected to Uniform Shearing by Boundary Element Method (경계요소법에 의한 포물선형 인장과 비틀림을 받는 유한폭 판재의 혼합 Mode 표면균열에 대한 해석)

  • Park, Seong-Wan;Hong, Jae-Hak
    • Journal of the Korean Society for Precision Engineering
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    • v.7 no.4
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    • pp.117-129
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    • 1990
  • The mixed mode surface crack in finite-width plate subjected to uniform shearing has been analyzed in 3-D problem by using boundary element method. The calculations were carried out for the surface crack angles (${\alpha}$) of $0^{\circ}, 15^{\circ}, 30^{\circ}, 45^{\circ}, 60^{\circ}, and 75^{\circ}, $ and for the aspect ratio(a/c) of 0.2, 0.4, 0.6 and 1.0 to get stress intensity factors at the boundary points of the surface crack. For the aspect ratio of 1.0 and the surface crack angles, finite element method was used to check the results in this in this study. Comparison of the results from both method showed good agreement.

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Crack Growth Behavior of Tensile Overload for Small Load Amplitude (하중진폭이 작은 인장과대 하중의 균열성장 거동)

  • 유헌일
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.7 no.2
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    • pp.54-61
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    • 1998
  • This paper examines the crack growth behavior of 7075-T651 aluminum alloy for small tensile overload under high-low block loading condition. The cantilever beam type specimen with a chevron notch is used in this study. The crack growth and closure are investigated by compliance method. The applied initial stress ratios are R=-0.5 R=0.0 and R=0.25 Crack length, effective stress intensity factor range, ratio of effective stress intensity factor range and crack growth rate etc, are inspected with fracture mechanics estimate.

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Conducting Crack Growth Behavior in Ferroelectrics Subjected to Electric Fields (전기장을 받는 강유전체 내의 전도균열 성장거동)

  • 정경문;박재연;범현규
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.10a
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    • pp.820-823
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    • 2002
  • The asymptotic problem of a semi-infinite conducting crack parallel to the poling direction in ferroelectric ceramics subjected to electric fields is analyzed. The main mechanism for the conducting crack growth behavior is thought to be ferroelectric domain switching leading to the development of a process zone around the crack. The shape and size of the switching zone is shown to depend strongly on the relative magnitude on the ratio of the coercive electric field to the yield electric field. It is shown that the crack growth can be either enhanced or retarded depending on the ratio of the coercive electric field to yield electric field.

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Shear Crack Control for High Strength Reinforced Concrete Beams Considering the Effect of Shear-Span to Depth Ratio of Member

  • Chiu, Chien-Kuo;Ueda, Takao;Chi, Kai-Ning;Chen, Shao-Qian
    • International Journal of Concrete Structures and Materials
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    • v.10 no.4
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    • pp.407-424
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    • 2016
  • This study tests ten full-size simple-supported beam specimens with the high-strength reinforcing steel bars (SD685 and SD785) using the four-point loading. The measured compressive strength of the concrete is in the range of 70-100 MPa. The main variable considered in the study is the shear-span to depth ratio. Based on the experimental data that include maximum shear crack width, residual shear crack width, angle of the main crack and shear drift ratio, a simplified equation are proposed to predict the shear deformation of the high-strength reinforced concrete (HSRC) beam member. Besides the post-earthquake damage assessment, these results can also be used to build the performance-based design for HSRC structures. And using the allowable shear stress at the peak maximum shear crack width of 0.4 and 1.0 mm to suggest the design formulas that can ensure service-ability (long-term loading) and reparability (short-term loading) for shear-critical HSRC beam members.

The Effects of the Microstructural Change of Dual Phase Steel on Fatigue Fracture Propagation (복합조직강의 미시조직변화가 피로파괴전파에 미치는 영향)

  • Oh, Sae-Wook;Kim, Ung-Jip
    • Journal of Ocean Engineering and Technology
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    • v.5 no.2
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    • pp.198-198
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    • 1991
  • Not only difference of fatigue crack growth and propagation behavior resulted from the grain size, the hardness ratio and volume fraction in M.E.F. dual phase steel composed of martensite in hard phase and ferrite in soft phase, but also the effects of the plastic constraint were investigated by fracture mechanics and microstructural method. The main results obtained are as follows: 1) The fatigue endurance of M.E.F. steel increases with decreasing the grain size, increasing the ratio of hardness and volume fraction. 2) The initiation of slip and crack occures faster as the stress level goes higher. These phenomena result from the plastic constraint effect of the second phase. 3) The crack propagation rate in the constant stress level is faster as the grain size gets larger, the ratio of hardness lower and volume fraction smaller.