• Title/Summary/Keyword: 균열성장

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Fatigue Crack Growth Analysis by EFG Method in Steel Components with Multiple Cracks (EFG법을 사용한 다수균열 함유 강부재의 피로균열 성장거동 해석)

  • 이상호;윤영철
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.4
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    • pp.691-700
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    • 1999
  • 본 연구에서는 요소를 사용하지 않는 새로운 해석방법인 EFG(Element-Free Galerkin)법을 사용하여 복수의 초기균열을 지닌 강재가 반복피로하중을 받는 경우 균열들이 점진적으로 성장하여 부재가 파단에 이르는 과정을 해석적으로 규명하였다. 이를 위하여 본 연구에서는 일반적인 피로균열성장법칙을 EFG법을 이용한 균열해석 알고리즘에 적용하여 복수의 균열들이 각각의 응력상태에 따라 차별적으로 성장해 나가는 과정을 해석할 수 있는 알고리즘을 도입하고 이를 바탕으로 다양한 하중상태하에서 복수의 균열들의 성장경로를 추정함과 동시에 이에 따른 잔존수명을 산정할 수 있는 기법을 제시하였다. 본 연구에서 제안된 해석방법을 피로균열 발생빈도가 큰 몇가지의 강부재 형태에 적용해 본 결과 다수균열 함유 부재의 피로균열 성장거동과 균열들의 피로수명을 성공적으로 예측할 수 있었다.

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Crack Propagation Analysis of Mixed Mode Crack by Element-Free Galerkin Method (Element-Free Galerkin법을 이용한 혼합모드상태 균열의 균열진전해석)

  • 이상호;윤열철
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.3
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    • pp.485-494
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    • 1999
  • 본 연구에서는 요소를 사용하지 않고 절점들만을 이용하여 해석이 가능한 새로운 수치해석기법인 EFG(Element-Free Galerkin)법을 사용하여 임의의 균열의 성장과정을 해석할 수 있는 효율적인 알고리즘을 개발하고, 이를 바탕으로 균열의 성장방향과 경로를 정확히 추정하여 일련의 균열진전해석을 수행할 수 있는 프로그램을 개발하였다. 균열해석에 있어서는 균열선단의 특이성과 균열면의 분연속성을 수치적으로 반영할 수 있는 기법을 도입하여 균열을 모형화하였으며, 선형탄성파괴역학이론에 근거하여 균열해석과정을 정식화하였다. 또한, EFG 형상함수가 kronecker delta 조건을 만족시키지 못함으로써 발생하는 필수경계조건의 처리문제를 penalty법을 이용하여 해결하였다. 개발된 균열진전해석 알고리즘을 정지상태와 성장하는 상태에 있는 모드 Ⅰ, 모드 Ⅱ 및 혼합모드상태의 대표적인 균열문제들에 적용하여 응력확대계수와 균열성장방향 및 균열의 성장경로를 추정하고 이를 이론적·실험적 결과들과 비교함으로써 그 정확성과 효율성을 검증하였다.

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A Study on Subcritical Crack Growth Parameters in Rock-like Material under Monotonic and Cyclic Loading (단조 및 반복하중 하에서의 모사 암석 시료의 임계하 균열성장 지수에 관한 연구)

  • Ko, Tae Young
    • Tunnel and Underground Space
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    • v.29 no.2
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    • pp.124-134
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    • 2019
  • Subcritical crack growth in rock material can occur under monotonic and cyclic loading. Subcritical crack growth plays an important role in evaluating the long-term stability of structures in rocks. This paper presents the results of studies conducted to determine subcritical crack growth parameters under monotonic and cyclic loading in rock-like material. The constant stress rate method was employed for monotonic loading. The subcritical crack growth parameter of n under cyclic loading was determined by the relation between the rate of crack growth per cycle and stress intensity factor range. The specimens contained pre-existing flaws with 45 and 60 degrees of inclination angle and flaws spacing and continuity were varied to arrange crack growth in shear or tensile manner. The results show that the parameter of n is almost constant regardless of the applied load conditions such as monotonic and cyclic or shear and tension.

Dynamic Fracture Behaviors of Concrete Three-Point Bend Specimens (콘크리트 삼점휨 시험편의 동적 파괴거동)

  • 연정흠
    • Journal of the Korea Concrete Institute
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    • v.14 no.5
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    • pp.689-697
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    • 2002
  • The dynamic loads and load-point displacements of concrete three-point bend (TPB) specimens had been measured. The average crack velocities measured with strain gages were 0.16 ㎜/sec ∼ 66 m/sec. The fracture energy for crack extension was determined from the difference of the kinetic energy for the load-point velocity and the strain energy without permanent deformation from the measure external work. For all crack velocities, there were micro-cracking for 23 ㎜ crack extension, stable cracking for 61 ㎜ crack extension at the maximum strain energy, and then unstable cracking. The unstable crack extension was arrested at 80 ㎜ crack extension except the tests of 66 m/sec crack velocity. The tests less than 13 ㎜/sec crack velocity and faster than 1.9 m/sec showed static and dynamic fracture behaviors, respectively. In spite of much difference of the load and load-point displacement relations for the crack velocities, the crack velocities of dynamic tests did not affect on fracture energy rate during the stable crack extension due to the reciprocal action of kinetic force, crack extension and strain energy. During stable crack extension, the maximum fracture resistances of the dynamic tests was 147% larger than that of the static tests.

A model of fatigue crack growth based on plastic stretch at the crack tip (균열선단의 소성스트레치를 이용한 피로균열성장모델)

  • Ju, Yeong Sik;Kim, Jae Hun
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.31 no.3
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    • pp.15-22
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    • 2003
  • The fatigue crack growth model is derived and the retardation model is proposed. The fatigue crack growth model considers the residual plastic stretch on the crack surface which results from the plastic deformation at the tip of fatigue crack. The fatigue crack growth rate is calculated by using the cumulative fatigue damage and plastic strain energy in the material elements at the crack tip. This model gives the crack growth rate in reasonable agreement with test data for aluminum alloy AL6061-T651 and 17-4PH casting steel. The fatigue crack growth retardation model is based on the residual plastic stretch produced from a tensile overload which reduced the plastic strain range of the following load cycles. A strip-yield model of a crack tip plasticity is used for the calculation of a plastic zone size. The proposed retardation model characterized the observed features and delayed retardation of the fatigue crack growth under tensile overload.

Effects of Crack Velocity on Fracture Resistance of Concrete (콘크리트의 파괴저항에 대한 균열속도의 영향)

  • Yon, Jung-Heum
    • Journal of the Korea Concrete Institute
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    • v.15 no.1
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    • pp.52-59
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    • 2003
  • Tests of concrete CLWL-DCB specimens had been conducted with displacement-controlled dynamic loading. The crack velocities for 381mm crack extension were 0.80 mm/sec ~ 215m/sec. The external work and the kinetic and strain energies were derived from the measured external load and load-point displacement. The fracture resistance of a running crack was calculated from the fitted curves of the fracture energy required for the tests. The standard error of the fracture energy was less than 3.2%. The increasing rate of the fracture resistance for 28 mm initial crack extension or micro-cracking was relatively small, and then the slope of the fracture resistance increased to the maximum value at 90∼145 mm crack extension depending on crack velocity. The maximum fracture resistance remained for 185 mm crack extension, and then the faster crack velocity showed the faster decreasing rate of the maximum fracture resistance. The maximum fracture resistance increased proportionally to the logarithm of the crack velocity from 142 N/m to 217 N/m when the crack velocity was faster than 0.273 m/sec. The maximum fracture resistance of the fastest tests was similar to the average fracture energy density of 215 N/m. To measure the fracture resistance of concrete, the stable crack extension should be larger than 90∼145 mm depending on crack velocity.

Resistance Curves of Concrete CLWL-DCB Specimens (콘크리트 CLWL-DCB 시험편의 저항곡선)

  • 연정흠
    • Journal of the Korea Concrete Institute
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    • v.14 no.3
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    • pp.357-364
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    • 2002
  • The resistance curves (R-curves) for 381 m crack extension of CLWL-DCB specimens had been determined. The average velocities of the crack extension measured with strain gages were 0.70 and 55 ㎜/sec. The measured rotation angle of the notch faces showed the existence of the singularity at least before 171 and 93 mm crack extensions for the 0.70 and 55 ㎜/sec crack velocities, respectively. The maximum slopes of the R-curves occurred between 25 and 89 ㎜ crack extensions for 0.70 ㎜/sec crack velocity and between 51 and 127 ㎜ crack extensions for 55 ㎜/sec crack velocity During the maximum slopes of the R-curves, the micro-crack localization can be expected, and faster crack velocity may form longer micro-cracking and micro-crack localizing zones. The fracture resistance of 0.70 ㎜/sec crack velocity reached a roughly constant maximum value of 143 N/m at 152 ㎜ crack extension, while that of 55 ㎜/sec crack velocity increased continuously to 245 N/m at 254 ㎜ crack extension and then decreased to the value of 0.70 ㎜/sec crack velocity. The R-curve of 55 ㎜/sec crack velocity was similar to that of the small size three-point bend test, and it showed that small size specimen or fast crack velocity could cause more brittle behavior.

Uncertainty based crack growth prediction under variable amplitude loads (변동하중 하에서의 불확실성 기반 균열성장 예측)

  • Leem, Sang-Hyuck;An, Da-Wn;Choi, Joo-Ho
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2011.04a
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    • pp.349-352
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    • 2011
  • 본 논문에서는 변동하중 하에서의 균열 성장 예측을 위하여 손상 모델과 주어진 데이터에 기반하여 균열 성장 모델의 변수를 확률분포로 추정한다. 이를 위해 베이지안 접근법을 활용하여 불확실 변수 결합 확률 분포식을 구축하고, Markov Chain Monte Carlo(MCMC)을 통해서 균열 성장 모델의 변수 샘플을 추출하였다. 여기서 추출된 샘플들을 균열 성장 모델에 적용, 균열 성장의 결과를 확률적인 분포로 예측하였다. 위와 같은 추정은 재료의 물성과 같은 변동성이 있는 변수를 모델에 적용하여, 결과값을 확률적인 분포로 예측하였다. 이것은 기존의 안전계수 개념보다 더욱 적절한 안전 기준을 제시 할 수 있다.

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An Experimental Study on Crack Growth in Rock-like Material under Monotinic and Cyclic Loading (단조증가 및 반복하중 하에서 모사 암석 시료의 균열 성장에 관한 실험적 연구)

  • Ko, Tae-Young;Lee, Seung-Cheol;Kim, Dong-Keun;Choi, Young-Tae
    • Tunnel and Underground Space
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    • v.21 no.4
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    • pp.307-319
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    • 2011
  • Cyclic loading due to traffic, excavation and blasting causes microcrack growth in rocks over long period of time, and this type of loading often causes rock to fail at a lower stress than its monotonically determined strength. Thus, the crack growth and coalescence under cyclic loading are important for the long-term stability problems. In this research, experiments using gypsum as a model material for rock are carried out to investigate crack propagation and coalescence under monotonic and cyclic loading. Both monotonic and cyclic tests have a similar wing crack initiation position, wing crack initiation angle, cracking sequence and coalescence type. Three types of crack coalescence were observed; Type I, II and III. Type I coalescence occurs due to a shear crack and Type II coalescence occurs through one wing or tension crack. For Type III, coalescence occurs through two wing or tension cracks. Fatigue cracks appear in cyclic tests. Two types of fatigue crack initiation directions, coplanar and horizontal directions, are observed.

분말소결 알루미늄 합금의 반복하중에 의한 미시균열 성장연구

  • ;;Klaus Detert
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1991.11a
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    • pp.21-31
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    • 1991
  • 대부분의 구조물은 정하중뿐아니라 동하중을 받고있으며, 반복되는 동하중에 의해 구조물은 피로를 받게되고 가장 취약한 부위에 작은 미시균열이 발생된다. 미시균열이 성장, 확산되어 기술적으로 인지되는 길이가 0.5 mm 이상이 될때 이를 거시균열이라 하는데, 거시균열의 균열성장은 파괴역학적 해석 방법의 도입으로 많은 공학적 재료들이 광범위하게 연구되었으며, 거시균열의 확산과 연관되어지는 균열닫힘과 미시구조의 관계가 연구되었다. 최근에는 거시균열의 해석과 같이 응력강도가 미시균열에서의 확산거동에 미치는 영향을 설명하는데 많은 관심을 가지게 되었다.(중략)

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