• Title/Summary/Keyword: 응력확대 계수

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Application of Method of Caustics to Cracks in Pseudo-Isotropic Materials( I ) (의사등방성재료내 균열에 대한 코스틱스방법의 적용(I))

  • 백명철;조상봉;최선호
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.3
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    • pp.944-953
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    • 1991
  • 본 연구에서는 일반적인 이방성재료에 대한 코스틱방법의 적용을 검토하는 일 환으로서, 직교이방성재료중 특성방정식의 근이 동일함으로 인하여 균열의 응력장이 특이성을 갖게 되고, 따라서 지금까지는 코스틱법의 적용이 어려웠던 재료(의사등방성 재료)에 대하여, 코스틱상 및 초기곡선의 식을 이론적으로 구하였고, 이 식을 예상되 는 여러가지 경계조건 하에서 컴퓨터 그래픽(computer graphic)으로 가시화하여, 시편 제작의 어려움으로 인하여 실험이 곤란한 의사등방성재료의 코스틱상을 예시하였으며, 또 이들 재료에 대한 응력확대계수 산출법을 제시함과 동시에 이 산출법이 등방성 재 료 및 일반적 직교이방성재료에도 사용가능함을 밝혀 다음 제2부에서 실험을 통하여 검증되도록 하였다.

Improvement of slab analogy experimental analysis by using multi-point selection method (다점선정법에 의한 "슬랩상사 응력확대 계수 해석법"의 정도향상에 관한 연구)

  • 김종수;최선호
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.6
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    • pp.1246-1251
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    • 1988
  • The experimental analysis method of stress intensity factors by "slab analogy" which was developed by authors proved itself effective to the determination of stress intensity factors of various shape of through cracks. Its experimental results, however, still has errors more or less 10% in comparison with known theoretical values. In this paper, a newly evaluating method, multi-point selection method, is presented by which these errors were decreased by more than 2%.e than 2%.

Verification of Numerical Technique for Hydraulic Fracturing Stimulation - by Comparison with Analytical Solutions - (수압파쇄 설계를 위한 수치해석기법의 증명 -해석식과의 비교를 중심으로 -)

  • Sim, Young-Jong
    • Journal of the Korean GEO-environmental Society
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    • v.10 no.4
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    • pp.65-71
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    • 2009
  • Hydraulic fracturing technology has been widely applied in the industry for the recovery of the natural resources such as gas, oil and geothermal heat from hot dry rock. During hydraulic fracturing stimulation, multiple cracks are created resulting in mechanical interaction between cracks. Such an interaction influences obtaining hydraulic fracturing key parameters (crack opening, length, and borehole net pressure). The boundary collocation method (BCM) has been proved to be very effective in considering mechanical interaction. However, for better confidence, it needs to be verified by comparison with analytical solutions such as stress intensity factors. In this paper, three cases, single fracture in remote uniaxial tension, single fracture in remote shear stress field and two arbitrary segments in an infinite plane loaded at infinity are considered. As a result, the BCM is proved to be valid technique to consider mechanical interaction between cracks and can be used to estimate the hydraulic fracturing parameters such as opening of the fracture, and so on.

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A Study on the Determination of Stress Intensity Factors in Orthotropic Plane Elastic Bodies (직교이방성 평면탄성체의 응력확대계수 결정에 관한 연구)

  • Jin, Chi Sub;Lee, Hong Ju
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.13 no.5
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    • pp.19-27
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    • 1993
  • Recent work in the mechanics of fracture points out the desirability of a knowledge of the elastic energy release rate, the crack extension force, and the character of the stress field surrounding a crack tip in analyzing the strength of cracked bodies. The objective of this work is to provide a discussion of the energy rates, stress fields and the like of various cases for anisotropic elastic bodies which might be of interest. Reinforced concrete, wood, laminates, and some special types of elastic bodies with controlled grain orientation are often orthotropic. In this paper, determination of the stress intensity factors(SIFs) of orthotropic plane elastic body using crack tip singular element and fine mesh in near the crack tip is performed. A numerical method in this paper was used by displacement correlation method. A numerical example problem of an orthotropic cantilevered single edge cracked elastic body subjected to shear loading was analyzed, and the results of this paper are in good agreement with those of the others.

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Application of L Integral to Interface Crack Problems (계면균열 문제에 대한 L적분의 응용)

  • 박재학;엄윤용
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.10 no.1
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    • pp.34-42
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    • 1986
  • An interface of a circular arc formed by two isotropic, homogeneous elastic materials is investigated. It is shown that L integral satisfies the conservation law for the interface if it is perfectly bonded, in frictionless contact or separated such as in a crack with the origin of the coordinate system being located at the center of the circular arc. The property of path independence of the L integral is applied to an interfacial crack problem, to obtain the stress intensity factors, where the interfacial crack is located along the arc of the circular inclusion embedded in infinite matrix. It is assumed here that the contact zone exist as in the model proposed by Comninou, thus removing the overlapping of the materials along the interface. Another example is shown for case of a circular interfacial crack in the matrix of finite size, where the stress intensity factors are determined by computing a value of the L integral numerically along the path far from the crack tip.

Analysis of mixed mode surface crack in finite-width plate subjected to uniform tension and bending by boundary element method (경계요소법에 의한 등분포인장과 굽힘을 받는 유한폭 판재의 혼합 모드 표면균열에 대한 해석)

  • 박성완;홍재학
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.6
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    • pp.1592-1602
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    • 1990
  • Mixed mode surface crack in finite-width plate subjected to uniform tension and bending has been analyzed in 3-D problem by using boundary element method. The calculations were carried out for the surface crack angles(.a/pha.) of 0.deg., 15.deg., 30.deg., 45.deg., 60.deg., and 75.deg., 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 study. Comparison of the results from both methods showed good agreement.

Measurement of Stress Intensity Factor of Orthotropic Material Using SPATE (SPATE에 의한 직교이방성체의 응력확대계수 측정)

  • Hwang, Jae-Seok;Suh, Jae-Guk;Lee, Hyo-Jae;Nam, Jeong-Hwan;Rpwlands, R.E.
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.10
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    • pp.3224-3233
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    • 1996
  • SPATE(Stress Pattern Analysis by Thermal Emission) can be effectively used to analyze the stress distribution of the orthotropic structure under the repeated load by non-contact. In this research, the measuring conception and method of stress intensity factor of orthotropic material using SPATE are suggested. The relationships between the maximum values of SPATE signal and $1/\sqrt{X'}$ (or $1/\sqrt{y'}$) are theoretically established in the vicinity of crack tip of the orthotropic material. It is certified through SPATE experiment that their linear quality is very excellent.

A Study on the Analysis Parameter Used in Improved EFG Crack Analysis Technique Based on Error Estimate (오차분석을 통한 개선된 EFG 균열해석기법의 해석계수 영향평가)

  • 이상호;윤영철
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.15 no.4
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    • pp.703-713
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    • 2002
  • Recently, an improved EFG(Element-Free Galerkin) crack analysis technique, which includes a discontinuous approximation and a singular basis function on the auxiliary supports, was developed. The technique is able to accurately analyze the crack propagation problem without any modification of the analysis model; however, it shows some dependency on the analysis parameters used. In this study, the effect of analysis parameters such as the size of compact support, dilation parameter, the smoothness of shape function around the crack tip, and the number of node using auxiliary supports on the accuracy of solution has been investigated. Through a patch test with a crack, relative L₂ error norm of stresses and the stress intensity factor were computed and compared for various analysis parameters and the results were presented as guidelines for adequate choice of analysis parameters.

Stress Effects on Activity of Primary Cracks Initiating at Stress Concentrator (응력 집중원에서 발생하는 초기 균열의 거동에 미치는 응력장의 영향)

  • Song, Sam-Hong;Kim, Jin-Bong
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.3 s.96
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    • pp.145-153
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    • 1999
  • This study has been performed to investigate the stress distribution around defects that behave as stress concentrators and fracture mechanical analysis for cracks initiatiating at stress concentrators. The stress distribution was analyzed using Finite Element Method and non dimensional stress intensity factor was determined by the mean stress method. In addition, stress interaction effects around defects and cracks were compared.

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