• 제목/요약/키워드: Crack Propagation Angle

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단축압축 하의 암석 브릿지에서의 균열 결합 (Crack Coalescence in Rock Bridges under Uniaxial Compression)

  • 박남수;전석원
    • 한국터널지하공간학회 논문집
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    • 제3권2호
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    • pp.23-32
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    • 2001
  • 암석은 지질학적 생성과정으로 인해 많은 역학적 결함을 포함하고 있으며 이러한 결함 사이에는 암석 브릿지가 존재하게 된다. 이러한 암석 브릿지에서의 균열의 전파 및 결합(coalescence)과정은 터널의 안정성에 영향을 미치게 된다. 본 연구에서는 단축압축 하에서 균열의 형상변화에 따른 암석 브릿지에서의 균열의 개시, 전파 및 결합거동 변화를 강화석고의 일종인 Diastone과 여산 대리석 시료에 대해 알아보았다. 하중을 가하면서 날개형 균열 개시응력, 날개형 균열 전파각도, 균열결합 응력을 측정하였으며, 전단, 인장, 혼합형의 3가지 균열결합 유형이 나타났다. 또한, 정규화된 최대강도(normalized peak strength)를 구하여 Ashby & Hallam 모형(1986)의 이론해와 비교, 분석하였다.

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페리다이나믹스 해석법을 통한 동적취성 파괴거동해석: 분기 균열각도와 균열 전파속도 (Dynamic Brittle Fracture Captured with Peridynamics: Crack Branching Angle & Crack Propagation Speed)

  • 하윤도;조선호
    • 한국전산구조공학회논문집
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    • 제24권6호
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    • pp.637-643
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    • 2011
  • 본 논문에서는 결합 기반 페리다이나믹스 해석법을 사용하여 동적취성 파괴시뮬레이션을 수행하였다. 페리다이나믹스 모델은 분기 균열, 균열 불안정성, 균열 경로의 비대칭성, 연쇄 분기 균열, 2차 균열 전파 등 다양한 동적취성 파괴현상을 잘 해석해 낼 수 있다. 본 논문에서는 분기 균열의 분기 각도와 균열 전파속도에 대한 응력파의 영향에 대해 연구하였다. 극한 시점에 도달한 균열은 둘 이상으로 분기되어 전파되고 그 전파속도는 기존 균열의 전파속도와 크게 달라지지 않는다는 사실이 여러 실험을 통해서 입증이 되었다. 페리다이나믹스로 해석된 분기 균열은 실험을 통해 제안된 균열 전파현상들과 잘 부합되는 것을 확인할 수 있었다.

Analysis of Mixed-mode Crack Propagation by the Movable Cellular Automata Method

  • Chai, Young-Suck;Lee, Choon-Yeol;Pak, Mikhail
    • International Journal of Precision Engineering and Manufacturing
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    • 제9권4호
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    • pp.66-70
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    • 2008
  • The propagation of a mixed-mode crack in soda-lime silica glass is modeled by movable cellular automata (MCA). In this model, a special fracture criterion is used to describe the process of crack initiation and propagation. The results obtained using the MCA criterion are compared to those obtained from other crack initiation criteria, The crack resistance curves and bifurcation angles are determined for various loading angles. The MCA results are in close agreement with results obtained using the maximum circumferential tensile stress criterion.

직교 이방성체의 동적 응력확대계수에 관한 연구 (II) 등속균열전파 속도하에서 동적모드 III 상태의 응력장, 변위장, 에너지해방률에 관한 연구 (A Study on the Dynamic Stress Intensity Factor of Orthotropic Materials(II) A Study on the Stress Field, Displacement Field and Energy Release Rate in the Dynamic Mode III under Constant Crack Propagation Velocity)

  • 이광호;황재석;최선호
    • 대한기계학회논문집
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    • 제17권2호
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    • pp.331-341
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    • 1993
  • The propagating crack problems under dynamic antiplane mode in orthotropic material is studied in this paper. To analyze the dynamic fracture problems by theoretical method or experimental method in orthotropic material, it is important to know the dynamic stress intensity factor in the vicinity of crack tip. Therefore the dynamic stress field and dynamic displacement field with dynamic stress intensity factor of orthotropic material in mode III were derived. When the crack propagation speed approachs to zero, the dynamic stress components and dynamic displacement components derived in this paper are identical to the those of static state. In addition, the relationships between dynamic stress intensity factor and dynamic energy release rate are determined by using the concept of crack closure energy with the dynamic stresses and dynamic displacements derived in this paper. Finally, the characteristics of crack propagation are studied with the properties of orthotropic material and crack speed. The variation of angle .alpha. between fiber direction and crack propagating direction and crack propagation speed fairly effect on stress component and displacement component in crack tip. The influence of crack propagation speed on the speed on the stress and displacement is greater in the case of .alpha.=90.deg. than in the case of .alpha.=0.deg. and the faster the crack propagation speed, the greater the stress value and displacement value.

모드 II 하중을 받는 CTS 시험편의 피로균열 전파거동에 관한 실험적 연구 (An Experimental Study on the Fatigue Crack Propagation Behavior in CTS Specimen under Mode II Loading)

  • 송삼홍;이정무
    • 대한기계학회논문집A
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    • 제27권7호
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    • pp.1217-1226
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    • 2003
  • The purpose of this paper is to investigate fatigue crack behavior under shear(Mode II) loading. Various specimens and devices have been used in order to produce Mode II loading in fatigue experiments for shear crack propagation. But, there is not sufficient comparisons of experimental results between Mode II and others loading modes, because of characteristics of applied loads and specimens. So, compact tension shear(CTS) specimens were used in this paper to investigate the propagation behavior of Mode II by comparing the experimental results between loading modes. We firstly observed the characteristics which was showed in Mode II experiment using CTS specimens. The experimental results under Mode II loading were compared with fatigue crack behavior under Mode I and Mixed-mode I+II loading. The characteristics for initiation and propagation behavior under Mode II loading was investigated by such comparisons.

Modified discontinuous deformation analysis for rock failure: Crack propagation

  • Chen, Yunjuan;Zhang, Xin;Zhu, Weishen;Wang, Wen
    • Geomechanics and Engineering
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    • 제14권4호
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    • pp.325-336
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    • 2018
  • Deformation of rock masses is not only related to rock itself, but also related to discontinuities, the latter maybe greater. Study on crack propagation at discontinuities is important to reveal the damage law of rock masses. DDARF is a discontinuous deformation analysis method for rock failure and some modified algorithms are proposed in this study. Firstly, coupled modeling methods of AutoCAD-DDARF and ANSYS-DDARF are introduced, which could improve the modeling efficiency of DDARF compared to its original program. Secondly, a convergence criterion for automatically judging the computation equilibrium is established, it could overcome subjective drawbacks of ending one calculation by time steps. Lastly but not the least, relationship between the super relaxation factor and the calculation convergence is analyzed, and reasonable value range of the super relaxation factor is obtained. Based on these above modified programs, influences on crack propagation of joint angle, joint parameters and geo-stresses' side pressure are studied.

Peridynamic analysis of dynamic fracture behaviors in FGMs with different gradient directions

  • Kou, Miaomiao;Bi, Jing;Yuan, Binhang;Wang, Yunteng
    • Structural Engineering and Mechanics
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    • 제75권3호
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    • pp.339-356
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    • 2020
  • In this article, a developed bond-based peridynamic model for functionally graded materials (FGMs) is proposed to simulate the dynamic fracture behaviors in FGMs. In the developed bond-based peridynamic model for FGMs, bonds are categorized into three different types, including transverse directionally peridynamic bond, gradient directionally peridynamic bond and arbitrary directionally peridynamic bond, according to the geometrical relationship between directions of peridynamic bonds and gradient bonds in FGMs. The peridynamic micromodulus in the gradient directionally and arbitrary directionally peridynamic bonds can be determined using the weighted projection method. Firstly, the standard bond-based peridynamic simulations of crack propagation and branching in the homogeneous PMMA plate are performed for validations, and the results are in good agreement with the previous experimental observations and the previous phase-field numerical results. Then, the numerical study of crack initiation, propagation and branching in FGMs are conducted using the developed bond-based peridynamic model, and the influence of gradient direction on the dynamic fracture behaviors, such as crack patterns and crack tip propagation speed, in FGMs is systematically studied. Finally, numerical results reveal that crack branching in FGMs under dynamic loading conditions is easier to occur as the gradient angle decreases, which is measured by the gradient direction and direction of the initial crack.

Crack initiation mechanism and meso-crack evolution of pre-fabricated cracked sandstone specimens under uniaxial loading

  • Bing Sun;Haowei Yang;Sheng Zeng;Yu Yin;Junwei Fan
    • Geomechanics and Engineering
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    • 재33권6호
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    • pp.597-609
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    • 2023
  • The instability and failure of engineered rock masses are influenced by crack initiation and propagation. Uniaxial compression and acoustic emission (AE) experiments were conducted on cracked sandstone. The effect of the crack's dip on the crack initiation was investigated using fracture mechanics. The crack propagation was investigated based on stress-strain curves, AE multi-parameter characteristics, and failure modes. The results show that the crack initiation occurs at the tip of the pre-fabricated crack, and the crack initiation angle increases from 0° to 70° as the dip angle increases from 0° to 90°. The fracture strength kcr is derived varies in a U-shaped pattern as β increased, and the superior crack angle βm is between 36.2 and 36.6 and is influenced by the properties of the rock and the crack surface. Low-strength, large-scale tensile cracks form during the crack initiation in the cracked sandstone, corresponding to the start of the AE energy, the first decrease in the b-value, and a low r-value. When macroscopic surface cracks form in the cracked sandstone, high-strength, large-scale shear cracks form, resulting in a rapid increase in the AE energy, a second decrease in the b-value and an abrupt increase in the r-value. This research has significant theoretical implications for rock failure mechanisms and establishment of damage indicators in underground engineering.

섬유의 적층 각도에 따른 섬유 금속 적층판의 압입 손상 거동 (Stacking Sequence Effects on Indentation Damage Behaviors of Fiber Metal Laminate)

  • 남현욱;김용환;정성욱;한경섭
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 추계학술대회논문집A
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    • pp.204-209
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    • 2001
  • In this research, the effects of fiber stacking sequence on damage behaviors of FML(Fiber Metal Laminates) subject to indentation loading. SOP (Singly Oriented Ply) FML and angle ply FML were fabricated to study fiber orientation effects and angle ply effects. FML were fabricated by using 1050 aluminum laminate and carbon/epoxy prepreg. To increase adhesive bonding strength, Al laminate was etched using FPL methods. The static indentation test were conducted by using UTM(5ton, Shimadzu) under the 2side clamped conditions. During the tests, load and displacement curve and crack initiation and propagation behaviors were investigated. As fiber orientation angle increases, the crack initiation load of SOP FML increases because the stiffness induced by fiber orientation is increased. The penetration load of SOP FML is influenced by the deformation tendency and boundary conditions. However, the macro-crack of angle ply FML was initiated by fiber breakage of lower ply because angle plies in Angle ply FML prevents the crack growth and consolidation. The Angle ply FML has a critical cross-angle which prevent crack growth and consolidation. Damage behavior of Angle ply FML is changed around the critical cross-angle.

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표면적분법을 이용한 콘크리트 댐의 균열 해석 (Crack Analysis of Concrete Gravity Dam Using Surface Integral Method)

  • 진치섭;이영호;손기석
    • 콘크리트학회논문집
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    • 제12권3호
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    • pp.31-37
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    • 2000
  • When a crack is produced in a concrete structure, a micro crack zone of fracture process zone (FPZ) appears at the crack tip. To investigate the behaviour of this the micro crack zone, nonlinear fracture mechanics (NLFM) must be applied. However, when a massive concrete structure such as a concrete gravity dam is considered, the micro crack zone can be neglected and the structure can be assumed to have linear elastic fracture mechanics (LEFM) behaviour. This study is divided into two main topics : (1) Calculating stress intensity factor (SIF) at the crack tip by surface integral method and (2) Investigating the propagation of the initial crack. If the initial crack propagates, the angle of the propagation is calculated by using maximum circumferential tensile strength theory. This study, also, contains the effects of body forces and water pressures on the crack face.