• Title/Summary/Keyword: 경사진 표면균열

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Propagation Behavior of Inclined Surface Crack of Semi-Infinite Elastic Body under Hertzian Contact (반무한 탄성체의 헤르츠 접촉하의 경사진 표면균열의 전파거동)

  • 김재호;김석삼;박중한
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.3
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    • pp.624-635
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    • 1990
  • Analytical study based on linear fracture mechanics was conducted on propagation behavior of inclined surface crack in semi-infinite elastic body. The analytical model was assumed to be inclined surface crack under plane strain condition upon which Hertzian stress was superimposed. Supposing continuous distribution of dislocation and applying Erdogan-Gupta's method to this crack problem, the stress intensity factors $K_{I}$ and $K_{II}$) at the crack-tip were obtained for various Hertzian contact positions. Analytic results have shown that driving force for crack growth is $K_{I}$ for non-lubricated condition and $K_{II}$ for fluid and boundary lubricated condition. The coefficient of friction at the hertzian contact and crack surfaces plays an important role in predicting the direction of crack propagation. It is also found that the maximum effective stress intensity factor exists at cracks of a certain specific length depending on lubricated condition.ion.n.

Critical Angle Analysis of Elliptical Corner Cracks in Mechanical Joints by Weight Function Method and Finite Element Analysis (가중함수법과 유한요소해석에 의한 기계적 체결부에 존재하는 타원형 모서리균열의 임계 경사각 해석)

  • Heo, Sung-Pil;Yang, Won-Ho;Ko, Myung-Hoon
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.30 no.4
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    • pp.1-9
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    • 2002
  • There is the high possibility of crack initiation from mechanical joints, which are widely used in aircraft fuselages, due to the development of stress concentration and contact pressure. In this paper, the mixed-mode stress intensity factors at the surface and deepest points of an inclined quarter elliptical corner crack in mechanical joints are analyzed by the weight function method. The coefficients included in the weight function are obtained by finite element analyses for reference loadings. Critical angle at which mode I stress intensity factor becomes maximum is determined by analyzing the variation of stress intensity factors along incline angle of crack and the effects of the amount of clearance and crack depth on the critical angle are investigated.

Mutual Interference of Two Surface Cracks under Hertzian Contact Loading (Hertz 접촉하중하에서의 복수표면균열의 상호간섭)

  • Kim, Sang-Woo;Kim, Seock-Sam
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.10
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    • pp.3048-3057
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    • 1996
  • Analysis model containing two inclined surface cracks on semi-infinite elastic body is established and analyzed on the basis of linear fracture mechanics to examine mutual interference of two surface cracks. Muskhelishvili's complex stress functions are introduced and a set of singular integral equations is obtained for a dislocation density function. The stress intensity factors at crack tip are obtained by using the Gerasoulis'method. When two surface cracks are parallel and have the same length, the values of $K_1$and $\Delta K_11$(variation of $K_11$) for crack 1 and crack 2 decrease by the mutual interference of two surface cracks as the distance between the two surface cracks shortens. The effect of mutual interference is remarkable in high friction coefficient. In case that two surface cracks are parallel, the values of $K_1$and $\Delta K_11$for crack 2 decrease as the length ratio ot crack 2 to crack 1 becomes small. As the crack inclination angle rises, the value of $K_1$ and the mutual interference of $K_1$for crack 2 increase and the value of$\Delta K_11$ for crack 1 becomes smaller than that for crack 2.

Weathering Properties and Slope Stability Evaluations of Bedrock under the Chokseongnu Pavilion, Jinjuseong Fortress, Korea (진주성 촉석루 성곽지반의 풍화특성과 사면안정성 평가)

  • Jo, Young-Hoon;Lee, Myeong-Seong;Lee, Sun-Myung;Lee, Chan-Hee
    • Journal of Conservation Science
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    • v.20
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    • pp.89-103
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    • 2007
  • The bedrock beneath the Chokseongnu pavilion consists of sandstone with alternate dark-gray to light-brown siltstone and dark-gray shale of the Jinju Formation, where bedding is well developed toward the Chokseongmun gate. Large to small joints and overbreak from the erosion weathering have been developed in the bedrock. Besides, water leakage from development of discontinuity planes, fragmentation of shale, crack and joint by tree roots are observed on the bedrock. While shale and siltstone showed high sensitivity in physical and chemical weathering, respectively, sandstone indicated the highest weathering sensitivity in both. As the results of structural stability analysis, the whole bedrock has high instability in wedge failures, and especially section No. II slope is more instable than section No. I. Therefore, it is necessary for the bedrock to be strengthened by improvement method for soft foundations and the surface reinforcement. The trees causing mechanical collapse of the bedrock should be also removed and a water flow prevention measure or a water exhaust are required.

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