• Title/Summary/Keyword: 탄성균열

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Influence of Density Variation on Stress and Displacement Fields at a Propagating Mode-III Crack Tip in Orthotropic Functionally Graded Materials (밀도변화가 직교이방성함수구배재료에서 전파하는 모드 III 균열선단의 응력 및 변위장에 미치는 영향)

  • Lee, Kwang-Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.35 no.9
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    • pp.1051-1061
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    • 2011
  • The influences of density variation on stress and displacement fields at a propagating Mode-III crack tip in orthotropic functionally graded materials (OFGMs) are studied. The crack propagates dynamically at a right angle to the gradient of physical properties. Three kinds of elasticity and density gradients are analyzed in this study. They are as follows: (1) the density varies without elasticity variation, (2) the directions of the density and elasticity gradients are opposite to each other, and (3) same. For these cases, the stress and displacement fields at the crack tip are developed and the dynamic stress intensity factors for propagating cracks are also studied. When the crack speed is low, the influence of density variation on the stresses and displacement is low. However, when the crack speed is high, this influence is very high.

A Study on the Safe Blast Design to Increase Slope Stability (발파진동이 사면에 미치는 영향과 안전설계에 관한 연구)

  • 안명석;류창하;박종남;권중남
    • Explosives and Blasting
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    • v.19 no.1
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    • pp.85-92
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    • 2001
  • 본 논문에서는 암굴착시 발파에 의한 암반사면의 균열방지 및 사면안정 재고를 위하여 대 구-포항간 고속도로 건설현장에서 시험발파를 실시하고 그 결과를 분석하여 천공깊이별 안전 발파패턴을 제시하였다. 또한 현지 탄성파 속도를 측정하여 발파에 의해 암반에 미치는 균열상태를 조사한 결과 탄성파속도의 감소가 40 ∼ 53%로서 암반 중에 균열을 발생시킨 것으로 나타났다. 발파진동 계측결과를 분석하여 암반에 균열을 일으킬 수 있는 진동속도 기준을 설정하여 균열권 범위를 추정하였으며 사면의 기하학적 형상을 고려하여 손상대를 최소화 할 수 있는 적정 안전설계 패턴을 제시하였다.

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Intrinsic Enrichment of Moving Least Squares Finite Difference Method for Solving Elastic Crack Problems (탄성균열 해석을 위한 이동최소제곱 유한차분법의 내적확장)

  • Yoon, Young-Cheol;Lee, Sang-Ho
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.29 no.5A
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    • pp.457-465
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    • 2009
  • This study presents a moving least squares (MLS) finite difference method for solving elastic crack problems with stress singularity at the crack tip. Near-tip functions are intrinsically employed in the MLS approximation to model near-tip field inducing singularity in stress field. employment of the functions does not lose the merit of the MLS Taylor polynomial approximation which approximates the derivatives of a function without actual differentiating process. In the formulation of crack problem, computational efficiency is considerably improved by taking the strong formulation instead of weak formulation involving time consuming numerical quadrature Difference equations are constructed on the nodes distributed in computational domain. Numerical experiments for crack problems show that the intrinsically enriched MLS finite difference method can sharply capture the singular behavior of near-tip stress and accurately evaluate stress intensity factors.

Method to Determine Elastic Follow-Up Factors to Predict C(t) for Elevated Temperature Structures (이차하중을 받는 고온 구조물의 C(t) 예측을 위한 탄성추종 계수 결정법)

  • Lee, Kuk-Hee;Kim, Yun-Jae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.36 no.7
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    • pp.759-768
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    • 2012
  • This paper proposes a method to determine the elastic follow-up factors for the $C(t)$-integral under secondary stress. The rate of creep crack growth for transient creep is correlated with the $C(t)$-integral. Elastic follow-up behavior, which occurs in structures under secondary loading, prevents a relaxation of stress during transient creep. Thus, both the values of $C(t)$ and creep crack growth increase as increasing elastic follow-up. An estimation solution for $C(t)$ was proposed by Ainsworth and Dean based on the reference stress method. To predict the value of $C(t)$ using this solution, an independent method to determine the elastic follow-up factors for cracked bodies is needed. This paper proposed that the elastic follow-up factors for $C(t)$ can be determined by elastic-plastic analyses using the plastic-creep analogy. Finite element analyses were performed to verify this method.

A Gridless Finite Difference Method for Elastic Crack Analysis (탄성균열해석을 위한 그리드 없는 유한차분법)

  • Yoon, Young-Cheol;Kim, Dong-Jo;Lee, Sang-Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.20 no.3
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    • pp.321-327
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    • 2007
  • This study presents a new gridless finite difference method for solving elastic crack problems. The method constructs the Taylor expansion based on the MLS(Moving Least Squares) method and effectively calculates the approximation and its derivatives without differentiation process. Since no connectivity between nodes is required, the modeling of discontinuity embedded in the domain is very convenient and discontinuity effect due to crack is naturally implemented in the construction of difference equations. Direct discretization of the governing partial differential equations makes solution process faster than other numerical schemes using numerical integration. Numerical results for mode I and II crack problems demonstrates that the proposed method accurately and efficiently evaluates the stress intensity factors.

A Micromechanics based Elastic Constitutive Model for Particle-Reinforced Composites Containing Weakened Interfaces and Microcracks (계면손상과 미세균열을 고려한 입자강화 복합재료의 미세역학 탄성구성모델)

  • Lee, Haeng-Ki;Pyo, Suk-Hoon;Kim, Hyeong-Ki
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.21 no.1
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    • pp.51-58
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    • 2008
  • A constitutive model based on a combination of a micromechanics-based weakened interface elastic model (Lee and Pyo, 2007) and a crack nucleation model (Karihaloo and Fu, 1989) is proposed to predict the effective elastic behavior of particle-reinforced composites. The model specifically considers imperfect interfaces in particles and microcracks in the matrix. To exercise the proposed constitutive model and to investigate the influence of model parameters on the behavior of the composites, numerical simulations on uniaxial tension tests were conducted. Furthermore, the present prediction is compared with available experimental data in the literature to verify the accuracy of the proposed constitutive model.

Stress Intensity Factor Measurement of Inclined Crack in Tensile Plates by Use of Photoelasticity (광탄성법을 이용한 인장판의 경사균열 응력확대계수 측정)

  • Baek, Tae-Hyun;Lee, Chun-Tae;Kim, Young-Chul
    • Asia-pacific Journal of Multimedia Services Convergent with Art, Humanities, and Sociology
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    • v.5 no.2
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    • pp.215-222
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    • 2015
  • This paper presents the measurement of stress intensity factors of inclined cracks by use of photoelasticity. The distributions of isochromatics near a crack tip of the specimen loaded by uniaxially tensile load are used for analysis. Accuracy and reliability is enhanced by twice multiplying and sharpening the measured isochromatics using digital image processing. Photoelastic results are compared with those obtained by finite element method. Good agreement between them shows that the photoelastic analysis is reliable.

비선형 균열배관 해석 방법을 이용한 배관 안전성 평가

  • 김태순;박치용;김진원;박재학
    • Proceedings of the Korean Institute of Industrial Safety Conference
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    • 2001.11a
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    • pp.169-174
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    • 2001
  • 원자력발전소 배관계통에 존재하는 균열을 해석하는 방법으로, 이제까지는 균열을 고려하지 않은 상태에서 지진하중을 고려한 탄성 배관해석을 수행하여, 배관에 작용하는 하중을 구한 후, 다음 단계에서 파괴해석 방법으로 균열을 가정한 탄소성 균열해석을 수행하는 2단계의 해석을 통해 균열안정성을 평가해 왔다. 이러한 방법은 전체 배관의 거동과 배관 내에 존재하는 균열의 거동을 서로 독립적인 것으로 고려하고 있으며 재료물성치로는 설계값을 사용하는 등의 보수적인 가정들을 포함하고 있어 배관에 작용하는 하중 또는 응력을 과도하게 계산하는 결과를 초래하고 있다 특히, 지진하중과 같은 반복적인 외부 동적하중이 작용하는 경우, 배관에 국부적인 소성변형이 발생함에도 이를 단지 탄성거동으로 간주하게 되는 것이다. 이러한 몇몇 보수적 가정들을 포함하고 있는 기존의 해석방법은 지나친 보수성을 가질 뿐만 아니라, 균열에 의한 실제 배관의 파단하중과 계산에 의한 파단하중의 비교로서 배관의 안전여유도를 예측하는 방법으로는 적절하지 못하다.(중략)

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Homogenization of Elastic Cracks in Hoek-Brown Rock (Hoek-Brown 암석에서 발생된 탄성균열의 균질화)

  • Lee, Youn-Kyou;Jeon, Seok-Won
    • Tunnel and Underground Space
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    • v.19 no.2
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    • pp.158-166
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    • 2009
  • As a basic study for investigating the development of the stress-induced crack in Hoek-Brown rock, a homogenization technique of elastic cracks is proposed. The onset of crack is monitored by Hoek-Brown empirical criterion, while the orientation of the crack is determined by the critical plane approach. The concept of volume averaging in stress and strain component was invoked to homogenize the representative rock volume which consists of intact rock and cracks. The formulation results in the constitutive relations for the homogenized equivalent anisotropic material. The homogenization model was implemented in the standard FEM code COSMOSM. The numerical uniaxial tests were performed under plane strain condition to check the validity of the propose numerical model. The effect of friction between the loading plate and the rock sample on the mode of deformation and fracturing was examined by assuming two different contact conditions. The numerical simulation revealed that the homogenized model is able to capture the salient features of deformation and fracturing which are observed commonly in the uniaxial compression test.

Behavior of High-elastic Stress Absorbing Interlayer for Reflective Cracking Resistance (고탄성 응력흡수층의 반사균열 저항특성 연구)

  • Park, Tae Soon;Lee, Yo Seop
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.3D
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    • pp.445-451
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    • 2006
  • This study was conducted to develop the interlayer mixture that absorbs the stress between the old concrete pavement and the asphalt overlay pavement layer. The elasticity, the flexibility, the consistency and the impermeability is required for high-elastic Stress Absorbing Interlayer(HSAI) to absorb and disperse the stress that causes the flexural and horizontal movements of the joint and the crack. The HSAI developed from foreign product was satisfied with the design criteria. The specimens using the HSAI showed the significant reduction of the reflective crack compared those not using the HSAI. The significance included that the life of shear failure and horizontal displacement resistance increased 4 times. The life of the share failure increased to 5 times and the horizontal displacement increased to 9 times according to the selection of surface course material which showed the excellence of the HSAI.