• Title/Summary/Keyword: 균열진전점

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Multiscale Scheme for Simulation of Crack Propagation in Heterogeneous Media (불균질 재료의 균열진전 해석을 위한 멀티스케일 기법)

  • Im, Se-Young;Sohn, Dong-Woo;Lim, Jae-Hyuk;Cho, Young-Sam;Kim, Jeong-Ho
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2009.04a
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    • pp.47-50
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    • 2009
  • 본 논문에서는 불균질 재료의 균열진전을 해석하기 위한 방법으로 변절점 유한요소를 이용한 멀티스케일 기법을 제시하였다. 효율적인 해석을 위하여 서로 다른 스케일의 요소망을 적용하여 전체 모델의 자유도를 감소시킨다. 균열선단과 비교적 멀리 떨어져 있는 영역은 균질화 기법을 도입하여 불균질 재료에 대한 등가물성을 갖는 성긴 요소망으로 대체하고, 균열선단 주변의 요소망은 재료의 기하학적 특성과 불균질성을 반영하도록 조밀하게 구성한다. 한편 균열선단에 존재하는 응력 특이성을 표현하기 위하여 균열선단을 포함한 요소를 더욱 조밀한 요소망으로 분할하여 구성한다. 여기에서 서로 다른 스케일의 요소망 경계에는 변절점 유한요소를 적용함으로써 경계에서의 절점 연결조건과 적합성을 만족시킬 수 있다. 제시한 멀티스케일 기법을 수치예제에 적용함으로써 정확성과 효율성을 검증하였으며, 특히 불균질 성분이 균열진전에 미치는 영향을 경계조건과 T-응력의 관점에서 분석하였다.

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Structural Design Optimization of Dynamic Crack Propagation Problems Using Peridynamics (페리다이나믹스를 이용한 균열진전 문제의 구조 최적설계)

  • Kim, Jae-Hyun;Park, Soomin;Cho, Seonho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.28 no.4
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    • pp.425-431
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    • 2015
  • Based on a bond-based peridynamics theory for dynamic crack propagation problems, this paper presents a design sensitivity analysis and optimization method. Peridynamics has a peculiar advantage over the existing continuum theory in the mathematical modelling of problems where discontinuities arise. For the design optimization of the crack propagation problems, a non-shape design sensitivity is derived using the adjoint variable method. The obtained adjoint sensitivity of displacement and strain energy turns out to be very accurate and efficient compared to the finite different sensitivity. The obtained design sensitivities are futher utilized to optimally control the position of bifurcation point in the design optimization of crack propagation in a plate under tension. A numerical experiment demonstrates that the optimal distribution of material density could delay the position of bifurcation.

A Study on the Effect of Cohesive Laws on Finite Element Analysis of Crack Propagation Using Cohesive Elements (응집 요소를 사용한 균열 진전 유한요소 해석에서 응집 법칙의 영향에 대한 연구)

  • Seo, Hyeong-Seok;Baek, Hyung-Chan;Kim, Hyun-Gyu
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.38 no.4
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    • pp.401-407
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    • 2014
  • In this paper, the effect of cohesive laws on the finite element analysis of crack propagation using cohesive elements is investigated through three-point bending and double cantilever beam problems. The cohesive elements are implemented into ABAQUS/Standard user subroutines(UEL), and the shape of cohesive law is varied by changing parameters in polynomial functions of cohesive traction-separation relations. In particular, crack propagation behaviors are studied by comparing load-displacement curves of the analysis models which have different shapes of cohesive laws with the same values of fracture energy and cohesive strength. Furthermore, the influence of the element size on crack propagation is discussed in this study.

Static and Dynamic Fracture Toughness Evaluation in SiCp/6061Al Composite (SiCp/6061Al복합재료의 정적 및 동적파괴인성 평가)

  • An, Haeng-Geun
    • Korean Journal of Materials Research
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    • v.8 no.6
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    • pp.565-570
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    • 1998
  • SiCp/6061AI 복합재료의 파괴인성을 평가하기 위하여 정적파괴인성에 대해서는 복수시험편법을, 동적파괴인성시험에 대해서는 stop block법을 실시하였다. 주균열은 예비균열의 선단에서 시험편두께방향 전역에 걸쳐서 일시에 발생하는 것이 아니고, 균열발생의 초기단계에서 국부적으로 형성된 균열이 시험편두께방향으로의 균열의 확장을 완료한 후 주균열로 이행해 간다. 정적 및 동적시험에서 컴플라이언스변화율법에 의해 검출된 균열발생점은 균열확장의 완료점과 거의 일치하고 있기 때문에 본 재료의 파괴인성 결정에 유효하다. 본 재료에서 동적파괴인성치는 정적파괴인성치보다 크게 나타났다. 이것은 동적충격시 입자파괴에 의한 에너지의 흡수.분산효과와 균열진전경로의 큰 편향에 기인한다고 생각된다.

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Estimation of Fatigue Crack Growth Behavior of Cracked Specimen Under Mixed-mode Loads (혼합모드 하중을 받는 균열시편의 피로균열진전거동 평가)

  • Han, Jeong Woo;Woo, Eun Taek;Han, Seung Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.39 no.7
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    • pp.693-700
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    • 2015
  • To estimate the fatigue crack propagation behavior of compact tension shear (CTS) specimen under mixed-mode loads, crack path prediction theories and Tanaka's equation were applied. The stress intensity factor at a newly created crack tip was calculated using a finite element method via ANSYS, and the crack path and crack increment were then obtained from the crack path prediction theories, Tanaka's equation, and the Paris' equation, which were preprogrammed in Microsoft Excel. A new method called the finite element crack tip updating method (FECTUM) was developed. In this method, the finite element method and Microsoft Excel are used to calculate the stress intensity factors and the crack path, respectively, at the crack tip per each crack increment. The developed FECTUM was applied to simulate the fatigue crack propagation of a single-edge notched bending (SENB) specimen under eccentric three-point bending loads. The results showed that the number of cycles to failure of the specimen obtained experimentally and numerically were in good agreement within an error range of less than 3%.

Development of Computational Evaluation Method for Fatigue Crack Growth Rate based on Viscoplastic-Damage Model (점소성-손상모델 기반 피로균열 진전속도 전산 평가법 개발)

  • Kim, Seul-Kee;Kim, Jeong-Hyeon;Lee, Chi-Seung;Kim, Myung-Hyun;Lee, Jae-Myung
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.28 no.1
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    • pp.1-8
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    • 2015
  • In this paper, computational evaluation method for fatigue crack growth rate(FCGR) based on material viscoplastic-damage model is proposed. Viscoplastic-damage model expressing material constitutive behavior of 7% nickel steel is introduced and is implemented into commercial finite element analysis(FEA) code, ABAQUS, as a user defined material subroutine(UMAT) for application in the FEA environments. Verification of developed UMAT and material parameters of material model are carried out by uniaxial tensile test simulations of 7% nickel steel. Moreover, jump-in-cycles procedure and rearrangement of critical damage are employed and also implemented to the ABAQUS UMAT for fatigue damage analysis. Typical FCGR test results such as relationship between crack length and number of cycles and relationship between da/dN and ${\Delta}K$ could be obtained from FCGR test simulation using developed UMAT and these results are compared with experimental results in order to verify of proposed computational method.

Development of Fracture Toughness Evaluation Method for Composite Materials by Non-Destructive Testing Method (비파괴검사법을 이용한 복합재료의 파괴인성 평가법 개발)

  • Lee, Y.T.;Kim, K.S.
    • Journal of the Korean Society for Nondestructive Testing
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    • v.18 no.4
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    • pp.278-291
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    • 1998
  • Fracture process of continuous fiber reinforced composites is very complex because various fracture mechanisms such as matrix cracking, debonding, delamination and fiber breaking occur simultaneously during crack growth. If fibers cause crack bridging during crack growth, the stable crack growth and unstable crack growth appear repeatedly. Therefore, it is very difficult to exactly determine tile starting point of crack growth and the fracture toughness at the critical crack length in composites. In this research, fracture toughness test for CFRP was accomplished by using acoustic emission(AE) and recording of tile fracture process in real time by video-microscope. The starting point of crack growth, pop-in point and the point of unstable crack growth can be exactly determined. Each fracture mechanism can be classified by analyzing the fracture process through AE and video-microscope. The more reliable method ior the fracture toughness measurement of composite materials was proposed by using the combination of R-curve method, AE and video microscope.

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Acoustic Emission during Crack Propagation Process of Rubber-Modified Epoxy Resin (고무변성 에폭시 수지의 균열진전과정과 음향방출 특성)

  • 이덕보;김현수;최낙삼;남기우;문창권
    • Composites Research
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    • v.16 no.4
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    • pp.44-50
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    • 2003
  • The damage zone around a crack tip occurring before the fracture is a significant domain. which affects the toughening mechanism of materials. In this study. the growth process of damage zone in the vicinity of crack tip for rubber-modified epoxy resin is investigated using an acoustic emission(AE) analysis. The weight fractions of rubber(CTBN 1300$\times$B) in rubber-modified epoxy resin are 5 wt% and 15 wt%. The fracture toughness($K_{IC}$) and the fracture energy($G_{IC}$) were measured using 3 point bending single-edge notched specimens. The damage zone and rubber particles distributed around the crack tip were observed by a polarized optical microscope and an atomic force microscope(AFM). The damage zone around crack tip of rubber-modified epoxy resin was formed at 13 % loading and developed until 57 % loading of the fracture load. The crack initiated at 57 % loading grew repeatedly in the stick-slip propagation behavior. Based on time-frequency analysis, it was confirmed that AE signals with frequency bands of 0.15~0.20 MHz and 0.20~0.30 MHz were generated from cavitation and stable/unstable cracking inside the damage zone.

Relationship between Pattern of Fatigue Crack Surface and Fatigue Crack Growth Behavior under $K_{III}$ Mode-Four Point Shear in Al 5083-O (Al 5083-O재에 있어서 $K_{III}$ 모드 4점 전단 하에서의 피로파단면 무늬와 피로균열진전거동의 관계)

  • Kim, Gun-Ho;Won, Young-Jun;Sakakura, Keigo;Fujimoto, Takehiro;Nishioka, Toshihisa
    • Proceedings of the Korean Society of Marine Engineers Conference
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    • 2006.06a
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    • pp.43-44
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    • 2006
  • Generally almost all fatigue crack growth is affected by model. For this reason a study on model has concentrated in the field of fracture mechanics. However the fatigue crack initiation and growth in machines and structures usually occur in mixed mode loading. If there is any relationship between the cause of fracture in mixed mode loading and fracture surface, fracture surface pattern will be the main mean explaining reasons of fatigue fracture and obtaining further information about fracture process. In this paper four point shear-fatigue test with Aluminum alloy Al 5083-O is carried out from this prospect and then the mixed mode distribution of fracture surface is examined from the result after identifying the generation of fatigue crack surface pattern. It was found from the experimental results that the fatigue crack surface pattern and the fatigue crack shear direction are remarkably consistent. Furthermore It is possible that the analysis of distribution of mixed mode through the fatigue crack surface pattern.

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An Automated System for Constant ${\Delta}K_{eff}$ Fatigue Crack Growth Testing through Real-time Measurement of Crack Opening Load (${\Delta}K_{eff}$ 제어 피로 균열 진전 시험 자동화 시스템에 관한 연구)

  • Shin, Sung-Chul;Song, Ji-Ho
    • Proceedings of the KSME Conference
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    • 2001.06a
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    • pp.447-452
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    • 2001
  • An automated system is developed to perform fatigue crack growth tests under constant effective stress intensity factor range ${\Delta}K_{eff}$. In the system, crack length and crack opening load are measured in real-time by using the unloading elastic compliance method. The system consists of two personal computers, an analogue electrical subtraction circuit, a stepping motor, a stepping motor driver, a PIO board, and the application software used to integrate the whole system. The performance of the developed system was tested and discussed performing constant ${\Delta}K_{eff}$ crack growth tests on a CT specimen of 7075-T6 aluminum alloy. The performance of the system is found to be strongly dependent on the accuracy of measurements of crack opening load. Besides constant ${\Delta}K_{eff}$ testing, the system is expected to be successfully applied for automation of various fatigue tests.

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