• Title/Summary/Keyword: 에너지 해방율

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Determination of Energy Release Rate of Penny-shaped Interface Crack on Bimaterial Cylinder (동전모양 균열이 존재하는 이상복합체의 에너지해방율 산정)

  • 양성철;서영찬;박종원
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.15 no.3
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    • pp.389-398
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    • 2002
  • The mixed mode problem (I and II) of a peny-shaped interface cracks in remote tension loading on a bi-material cylinder is studied using finite element method. The energy release rates for the tip of the crack in the interface were calibrated for several different moduli combinations and crack ratios using the modified crack closure integral technique and J-integral method, with numerical results obtained from a commercial finite element program. Numerical results show that non-dimensional value of$\sqrt{G_{II}E^*}/\sqrt[p]{\pi a}$ increases as the crack size or moduli ratio increases. Meanwhile, non-dimensional value of$\sqrt{G_{I}E^*}/\sqrt[p]{\pi a}$ decreases as the moduli ratio increases, but above the moduli ratio of 3 its value decreases then increases again as the crack size increases. Reliability of the numerical analysis in this study was acquired with comparison to an analytical solution for the peny-shaped interface crack in an infinite medium.

Computation of the Higher Order Derivatives of Energy Release Rates in a Multiply Cracked Structure for Probabilistic Fracture Mechanics and Size Effect Law (확률론적 파괴역학 및 Size Effect Law에 적용을 위한 다중 균열 구조물에서의 에너지 해방률의 고차 미분값 계산)

  • Hwang, Chan-Gyu
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.21 no.4
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    • pp.391-399
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    • 2008
  • In this paper, we further generalize the work of Lin and Abel to the case of the first and the second order derivatives of energy release rates for two-dimensional, multiply cracked systems. The direct integral expressions are presented for the energy release rates and their first and second order derivatives. The salient feature of this numerical method is that the energy release rates and their first and second order derivatives can be computed in a single analysis. It is demonstrated through a set of examples that the proposed method gives expectedly decreasing, but acceptably accurate results for the energy release rates and their first and second order derivatives. The computed errors were approximately 0.5% for the energy release rates, $3\sim5%$ for their first order derivatives and $10\sim20%$ for their second order derivatives for the mesh densities used in the examples. Potential applications of the present method include a universal size effect model and a probabilistic fracture analysis of cracked structures.

Influence of Rheological Properties of Adhesive Polymer on Strain Energy Release Rate of Mode I and Adhesive Tensile Strength (모드I의 변형 에너지 해방율과 인장 접착강도에 미치는 접착제 고분자의 유변특성의 영향)

  • H. Mizumachi
    • The Korean Journal of Rheology
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    • v.8 no.2
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    • pp.129-138
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    • 1996
  • 접착강도는 접착제의 점탄성을 반영한 온도·속도 의존성을 나타낸다는 것이 잘 알 려져있다. 특히 유리전이온도(Tg)에서의 역학적 완화기구가 접착층의 변형을 수반하는 접착 층의 변형을 수반하는 접착강도에 크게 영향을 미치고 있다. 또한 접착계의 모드I의 변형에 너지 해방율(GIC)를 측정할때에도 접착제의 변형과 파괴가 발생하기 접착제의 점탄성이 그 값에 어떠한 영향을 미치는 지에 흥미가 깊다. 본 연구에서는 2종류의 에폭시 수지를 블랜 드한 접착제를 이용하여 일정한 측정조건에서 인장 접착강도와 GIC의 상관관계에 대하여서 도 토론하였다.

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Experiment and Analysis on Impact of Tapered Double Cantilever Beam with Aluminum Alloy (알루미늄 합금으로 된 경사진 이중외팔보의 충돌에 대한 실험 및 해석)

  • Gao, Teng;Cho, J.U.;Cheon, Seong S.
    • Composites Research
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    • v.27 no.2
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    • pp.72-76
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    • 2014
  • This study is investigated by experiments and analyses at rates of 2.5m/s, 7.5m/s and 12.5m/s on the impact of tapered double cantilever beam specimens with aluminium alloy. It aims to examine the mechanical property of aluminum alloy by evaluating energy release rate and equivalent stress happened at the bonded part of specimen. Because bonding force remains after the separation of specimen, the energy release rate at the bonded part becomes highest. As crack propagates and the high stress happens at the end of the bonded part, the maximum equivalent stress becomes higher at the last stage, regardless of impact rate. These results of experiments and analyses are the data necessary to develop the safe design of composite material to prevent crack propagation due to impact.

Applications of fracture mechanics into tire and rubber (타이어나 고무제품에 파괴역학의 응용)

  • 이억섭
    • Journal of the korean Society of Automotive Engineers
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    • v.11 no.5
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    • pp.34-45
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    • 1989
  • 성장하는 균열에 의한 변형 에너지해방에 기반을 둔 간단한 파괴역학적인 접근법이 고무의 여러가지 특성을 규명하는데 성공적으로 응용되는 예들을 논의하였다. 이 방법은 전통적인 강도, 즉 찢김, 균열성장, 피로, 인장파손 등 뿐만 아니라 오존내습(ozone attack), 예리한 공구들에 의한 마쇄, 절단현상을 규명하는데도 응용가능함을 밝혔다. 특히 에너지해방율은 여러가지의 다른 시험편에 대한 실험값들이 서로 연관성을 갖도록 허용하기 때문에 매우 유용한 특성이라 할 수 있다.

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An Analysis on Fracture Behavior of Aluminum Foil and Paper by Linear Elastic Fracture Mechanics (선형파괴역학에 의한 Aluminum Foil과 종이의 파괴거동 해석)

  • An, Deuk-Man;Ok, Young-Gu
    • Proceedings of the KSME Conference
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    • 2000.04a
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    • pp.159-164
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    • 2000
  • The fracture behaviors of aluminum foils and sheet papers were analyzed on the basis of linear elastic fracture mechanics(LEFM). The fracture loads of the similarly shaped specimens were calculated by dimensional analysis. The actual fracture loads were measured using the simple tension equipment. The predicted fracture loads were compared with the experimental results.

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Analytical Study on Interface Debonding of Reinforced Concrete Beams Strengthened with Carbon Fiber Sheet(CFS) (탄소섬유쉬트로 보강된 철근콘크리트보의 계면박리에 대한 해석적 연구)

  • Sim, Jong-Sung;Bae, In-Hwan
    • Magazine of the Korea Concrete Institute
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    • v.11 no.2
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    • pp.177-186
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    • 1999
  • The purpose of this study is to analyze the interface debonding of RC beams strengthened by carbon fiber sheet(CFS). The behavior of damaged RC beams strengthened with CFS is analytically investigated next using linear elastic fracture mechanics(LEFM) approach and the finite element method. The study includes an investigation of the separation mode by interface fracture of the strengthening materials due to the interfacial shear and normal stresses. The numerical method is presented to obtain the value of interfacial fracture parameter such as the strain energy release rate. Based on the results of this study, it is found that the critical case occurs when the interfacial cracks occur within a short region of the flexural crack. The CFS strengthening has not an adequate factor of safety against interfacial debonding of CFS. Furthermore, for the thicknesses of the adhesive studied[1mm~3mm], it is no noticeable effect on the strain energy release rate.

Modified S-FPZ Model for a Running Crack in Concrete (콘크리트의 연속적인 균열성장에 대한 수정 특이-파괴진행대 이론)

  • Yon, Jung-Heum
    • Journal of the Korea Concrete Institute
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    • v.15 no.6
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    • pp.802-810
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    • 2003
  • In this paper, the modified singular fracture process zone (S-FPZ) model is proposed to consider variation of a fracture criterion for continuous crack propagation in concrete. The fracture properties of the proposed fracture model are strain energy release rate at a micro-crack tip and crack closure stress (CCS) versus crack opening displacement (COD) relationship in the FPZ. The proposed model can simulate the estimated fracture energy of experimental results. The analysis results of the experimental data shows that specimen geometry and loading condition did not affect the CCS-COD relation. But the strain energy release rate is a function of not only specimen geometry but also crack extension. Until 25 mm crack extension, the strain energy release rate is a constant minimum value, and then it increased linearly to the maximum value. The maximum fracture criterion occurred at the peak load for an large size specimen. The fracture criterion remains the maximum value after the peak load. The variation of the fracture criterion is caused by micro-cracking and micro-crack localizing. The fracture criterion of strain energy release rate can simply be the size effect of concrete fracture, and it can be used to quantify the micro-tracking and micro-crack localizing behaviors of concrete.

A study on the Determination of Fractuye Parameters for Rubber Toughened Polymeric Materials Using Instrumented Charpy Impact Test (샤피충격시험기를 이용한 고무보강 폴리머재료의 파괴인자 결정에 관한연구)

  • Choi, Young-Sic;Park, Myung-Kyun;Bahk, S.M.
    • Proceedings of the KSME Conference
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    • 2001.06a
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    • pp.389-394
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    • 2001
  • The notched Charpy and Izod impact tests arc the most prevalent techniques used to characterize the effects of high impulse loads on ploymeric materials. An analysis method for rubber toughened PVC is suggested to evaluate critical strain energy release rates(Gc) from the Charpy impact energy measurements. An Instrumented Charpy impact tester was used to extract ancillary information concerning fracture properties in addition to total fracture properties and maximum critical loads. The stress intensity factor Kd was computed for varying amounts of rubber contents from the obtained maximum critical loads and also toughening effects were investigated as well.

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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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