• Title/Summary/Keyword: 응력 확대 계수

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Calculation of Stress Intensity Factor in Arbitrarily Shaped Plane Crack under Uniform Pressure Loading (일정 압력에 의한 3차원 평면균열에서의 응력확대계수 계산)

  • An, Deuk-Man
    • Proceedings of the KSME Conference
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    • 2000.11a
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    • pp.117-122
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    • 2000
  • In this paper the stress intensity factor under uniform pressure in the arbitrarily-shaped plane crack configuration transformed elliptic crack by Mobius mapping are determined. Using Dyson's formula Boussinesq-Papkovich potentials for mode I deformation are constructed. In the example the stress intensity factors are approximately calculated by least square method.

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Determination of stress intensity factors of bent and eccentric cracks by multi-point selection method (다점선정법에 의한 편심 및 굴절균열의 응력확대계수의 결정)

  • 김종주;서인보;최선호
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.5
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    • pp.1079-1086
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    • 1990
  • Recently, demand for the experimental analysis of crack, such as arbitrary or distributed ones which has been considered quite difficult to investigate by the theoretical and numerical method, is increasing. Among existent experimental methods applied to the analysis of stress intensity factors, the slab analogy method have the following merits; cracks can be replaced by similarity-shaped rigid body, and the distribution of stress is represented by slab curvature of duly bent specimen. For the accuracy improvement of this method, multi-point selection method was introduced and its accuracy proved by applying this method to the analysis of centrally linear and inclined cracks in a finite plate which are theoretically known. In this paper, moreover, the stress intensity factors of eccentric and skew-symmetric bent cracks were determined by multi-point selection method and newly developed moire tilted master grating method. The results obtained by this method showed good agreement with the reliably theoretical solutions.

Crack Extension in Anisotropic Solids Subjected to Uniaxial Load (단축하중을 받는 이방성체내 균열의 진전)

  • 임원균;최승룡;안현수
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.2
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    • pp.161-169
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    • 1999
  • 이방성체의 평면내 직선균열에 대한 균열선단부근의 응력과 변위의 분포는 어떠한 균열체의 형상 및 하중조건에 대해서도 응력확대계수라는 하나의 매개변수로서 나타낼 수 있다고 하는 것이 파괴역학에서 보편화되어 있다. 그러나 많은 경우에 있어서 급수전개식의 이어지는 항은 정량적으로 중요하다. 따라서 본 연구에서는 이러한 항을 유도하고 이것이 균열진전방향에 미치는 영향에 대하여 검초하였다. 이를 위하여 단축하중을 받는 직방성균열체의 해석을 수행하며 재료는 균질이방성체라고 가정하였다. 급수전개식에서 2차항의 영향을 고려하기 위하여 균열선단에서의 응력의 분포를 재해석하였으며, 2차항의 사용은 정확한 균열진전방향의 결정을 위해서 매우 중요함을 보였다. 초기균열진전각도의 결정을 위해서 수직응력비이론을 적용하였다.

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A Study on the Safety of Lifting Cable for Construction of Coastal Structures (항만건설을 위한 케이슨 들고리의 안전성에 관한 연구)

  • Kwak, Kae Hwan;Jang, Ki Woong;Kim, Jong Hyo
    • Journal of Korean Society of Steel Construction
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    • v.10 no.1 s.34
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    • pp.85-99
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    • 1998
  • This paper describes an experimental study to examine collapse causes of the lifting cable due to brittle failure of an fitting anchor under the lifting works. Also, in this study an collapse mechanism that was obtained from stress analysis was compared with an actual collapse procedure. Fractographical analysis as well as chemical component test, tension test and Charpy V-Notch impact test for the fractured steel members were carried out. And then, its results were compared with that of normal steel members. Circumferential surface flaws were developed at internal facets of the fitting anchor before tensile stress occurred. Hence, a higher stress than nominal stress was occurred at flaws by stress concentration at the crack tip. Also, stress intensity factor of members increased by crack size of the potential flaws. Because the stress intensity factor at the crack tip was greater than critical values(fracture toughness), brittle fracture occurred under the lifting works. It is judged that the main collapse of the lifting cable is due to brittle fracture of the fitting anchor.

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Application of Fracture Mechanics to Design of Machine and Structure Element (파괴역학을 이용한 기계요소 및 구조물 설계방안 (2))

  • Lee, Eok-Seop
    • Journal of the Korean Society for Precision Engineering
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    • v.4 no.1
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    • pp.27-32
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    • 1987
  • 제2장에서 선형타성체에 대한 파괴역학의 일반적인 개념을 약술하였다. 즉 응력확대계수(K) 와 응력집중계수($1_{4}$)의 차이, 에너지 해방율(1$\sub$y)및 $_{4}$와 K의 관계를 이론적으로 살펴보았다. 물론 식(2-35) 및 (2-36) 등은 균열전파 경로가 직선이 아닌 경우에 적용한다는 것은 무리가 있으나 전체적인 이해를 돕기위해서 앞에서와 같이 기술하였다. 세가지 경우의 응력확대 계수 $_{4}$, $_{4}$$_{4}$는 하중과 균열의 크기 및 시편의 크기 또는 균열이나 결함을 포함 하고 있는 기계요소 및 구조물의 기하학적인 형상에 관련이 되어져서 결정이 된다.

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Element and Crack Geometry Sensitivities of Finite Element Analysis Results of Linear Elastic Stress Intensity Factor for Surface Cracked Straight Pipes (표면균열이 있는 직관에 대한 선형탄성 응력확대계수 유한요소해석 결과의 요소 및 균열형상 민감도)

  • Ryu, Dongil;Bae, Kyung-Dong;Je, Jin-Ho;An, Joong-Hyok;Kim, Yun-Jae;Song, Tae-Kwang;Kim, Yong-Beum
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.37 no.4
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    • pp.521-527
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    • 2013
  • This study provides the elastic stress intensity factors, K, for circumferential and longitudinal surface cracked straight pipes under single or combined loads of internal pressure, bending, and torsion based on three-dimensional (3D) finite element (FE) analyses. FE results are compared with two different types of defect assessment codes (API-579-1 and RCC-MR A16) to prove the accuracy of the FE results and the differences between the codes. Through the 3D FE analysis, it is found that the stress intensity factors are sensitive to the number of elements, which they were believed to not be sensitive to because of path independence. Differences were also found between the FE analysis results for crack defining methods and the results obtained by two different types of defect assessment codes.

A Basic Study on the Crack Arrest Phenomena (균열정지현상에 관한 기초적 연구)

  • 이억섭;김상철;송정일
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.1
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    • pp.112-118
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    • 1990
  • Catastrophic fracture cannot be avoided after cracks(initiated from pre-existing defects) propagate rapidly with speeds comparable to a sound wave velocity of the materials. Preventing catastropic failure, crack arrest fracture toughness defined from dynamic(or kinetic) fracture mechanics point of view has been introduced in determining accurate and/or proper crack arrest fracture toughness of a material. For the past decades, many studies have been carried out to render proper theoretical and experimental backgrounds on the use of the static plain strain crack arrest fracture toughness, $K_{1a}$ (which seems to be a material property). $K_{1a}$ has been used to predict the performance of thick walled structures and has been considered as a measure of the ability of a material to stop a fast running crack. Determination of such a material property is of prime importance to the nuclear reactor pressure vessel and bridge materials industries. However, standards procedures for measuring toughness associated with fast running cracks are yet to exist. This study intends to give insight on the determination of the crack arrest fracture toughness of materials such as polymethylmethacrylate(PMMA), SM45C-steel, and A1 7075-T6. The effects of crack jump lengths and fast crack initiation stress intensity factor on the determination of $K_{1a}$ have been experimentally observed.erved.

Effective Way of Measuring $K_I$ by Means of ACPD Technique (교류전위차법을 이용한 효과적인 응력확대계수의 측정 방법)

  • Lee, Jeong-Hee
    • Journal of the Korean Society for Nondestructive Testing
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    • v.19 no.1
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    • pp.8-15
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    • 1999
  • In order to develop an effective way of measuring the mode I stress intensity factor, $K_I$, by the technique based on the alternating current potential drop (ACPD), the effect of the magnetic flux in the air on the change in potential drop due to load for both ferromagnetic and paramagnetic materials containing a two-dimensional surface crack was investigated. Additionally the effects of the demagnetization and the crack length on the change in potential drop were examined. In the case that the measuring system was designed to induce a large amount of electromotive force, the amount of the change in potential drop due to load was shown to increase largely Also the relationship between the change in potential drop and that in $K_I$ was indicated to be linear without any treatment and it was shown that the demagnetization had almost no effect on the change in potential drop. The change in potential drop did not depend on the crack length but on the measuring system. For the application of the ACPD technique to determine $K_I$.

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Damage Tolerance Analysis Using Surrogate Model (근사모델을 사용한 손상허용해석)

  • Jang, Byung-Wook;Im, Jae-Hyuk;Park, Jung-Sun
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.39 no.4
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    • pp.306-313
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    • 2011
  • The damage tolerance analysis is required to guarantee the structural safety and the reliability for aircraft components. The damage tolerance method, which evaluate the life considering the initial crack, considers a fatigue design model of the aircraft main structure. The fatigue crack growth life should be calculated in damage tolerance analysis and the inspection time to define the replacement cycle. In this paper, the damage tolerance analysis is performed for a turbine wheel which has complex geometry. The equation of the stress intensity factor for complex geometry is hard to know, so that they are usually processed by finite element analysis which takes long time. To solve this problem, the stress intensity factors at specified crack are obtained by the FEA and the crack growth life is evaluated using the surrogate model which is generated by the regression analysis of the FEA data. From the results, the efficiency of the crack growth life calculation and the damage tolerance analysis could be increased by taking the surrogate model.

Crack Growth Life Prediction of Hollow Shaft with Circumferential Through Type Crack by Torsion (원주방향 관통형 균열을 가지는 중공축의 비틀림에 의한 균열성장수명 예측)

  • Yeonhi Kim;Jungsun Park
    • Journal of Aerospace System Engineering
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    • v.17 no.2
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    • pp.1-8
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    • 2023
  • Power transmission shafts in rotary wing aircraft use a hollow shaft to reduce weight. We can apply linear elastic fracture mechanics to predict crack propagation behavior. This paper predicted crack growth life of a hollow shaft with a circumferential through-type crack by finite element analysis. A 2D finite element model was created by applying a torsion and forming elements considering cracks. We defined the initial crack length and performed the finite element analysis by increasing the crack length to derive stress intensity factor at crack tips. We defined the length just prior to the stress intensity factor exceeding the fracture toughness as the crack limit length. We calculated the crack limit length using a handbook and numerically integrated the crack growth rate equation to derive growth life of each crack. The growth life of each crack was compared to verify the proposed finite element analysis method.