• 제목/요약/키워드: linear elastic fracture mechanics model

검색결과 43건 처리시간 0.027초

피로 하중하에서의 복수표면크랙진전에 관한 수치시뮬레이션 (Numerical Simulation of Fatigue Growth of Multiple Surface Crack under Fatigue Load)

  • 한문식
    • 한국자동차공학회논문집
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    • 제10권6호
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    • pp.133-141
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    • 2002
  • This paper describes a versatile finite element technique which has been used to investigate wide range of structural defects of practical importance. The procedure automatically remeshes the three-dimensional finite element model during the stages of crack growth. Problems include the surface cracks in leak-before-break situations, the shape development of multiple surface defects.

염색체 침투법을 이용한 쐐기쪼갬시험체의 파괴특성 (Fracture Measurements on WST test using Dye Penetration Method)

  • 어석홍;박영규;황규만;최덕진;홍기호
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2001년도 가을 학술발표회 논문집
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    • pp.719-724
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    • 2001
  • In this study, wedge splitting tensile test(WST) using dye penetration method was carried out to investigate cracking criterion and fracture characteristics of concrete. For the this purpose, three levels of compressive strength of 180, 300 and 600 kgf/$\textrm{cm}^2$ and five testing age of 1, 3, 7, 14 and 28 days were selected as test variables. The specimen was loaded in a controlled manner and then dye was inserted at the load of 40%, 70% of the presumed peak load and at the load of 90% just after peak load. The fracture process zone was measured at each load step of a specimen. Test results were compared with analytic results by linear elastic fracture mechanics(LEFM) and numerical results through fictitious crack model(FCM) and finite element method(FEM).

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원주방향 관통형 균열을 가지는 중공축의 비틀림에 의한 균열성장수명 예측 (Crack Growth Life Prediction of Hollow Shaft with Circumferential Through Type Crack by Torsion)

  • 김연희;박정선
    • 항공우주시스템공학회지
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    • 제17권2호
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    • pp.1-8
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    • 2023
  • 회전익 항공기의 동력전달축은 경량화를 위하여 중공축을 적용하였으며 선형탄성 파괴역학을 이용해 균열 전파 거동을 예측할 수 있다. 본 논문에서는 유한요소해석을 통하여 원주방향 관통형 균열을 가지는 중공축의 균열성장수명을 예측하였다. 비틀림을 부여하고 균열을 고려한 요소를 형성하여 2차원 유한요소모델을 생성하였다. 초기 균열 길이를 정의하고 균열 길이를 증가시켜 유한요소해석을 수행해 균열 선단의 응력확대계수를 도출하였다. 응력확대계수가 중공축을 구성하는 재료의 파괴인성을 초과하기 직전의 길이를 한계 균열 길이로 정의한다. 응력확대계수 핸드북을 통해 응력확대계수를 계산하여 한계 균열 길이를 도출하고 균열성장속도식을 수치적분하여 각각의 균열성장수명을 비교해 제안한 유한요소해석 기법을 검증하였다.

원공이 있는 복합적층판의 파괴특성 연구 (Study on Failure Characteristics of Laminate with a Hole)

  • 송관형;이재욱
    • 대한조선학회지
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    • 제26권4호
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    • pp.67-80
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    • 1989
  • 복합적층 구조물의 체결특성을 연구하기에 앞서 구조물 제작시 필연적으로 대두되는 원공이 있는 적층판의 기 제시된 몇 가지 파괴해석 모델을 고찰하고, 파괴특성을 알아 보았다. 또한, 원공이 있는 단일방향 복합재료와 $[{\pm}45^{\circ}]2s,\;[0^{\circ}/90^{\circ}]2s,\;[{\pm}45^{\circ}/0^{\circ}/90^{\circ}]s$ 적층판의 시편실험 결과를 이용, 특성길이를 계산하여 파손강도를 예측하고자 했다. AE(Acoustic Emission) 실험평가는 주로 손상의 발생과 거동을 추적하여 파손과정을 평가하는 방법으로 사용했고 Ultrasonic 시험법은 초기 손상검출, 손상 영역의 크기를 규명하고자 했다.

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Mechanical Properties of Hydrated Cement Paste: Development of Structure-property Relationships

  • Ghebrab, Tewodros T.;Soroushian, Parviz
    • International Journal of Concrete Structures and Materials
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    • 제4권1호
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    • pp.37-43
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    • 2010
  • Theoretical models based on modern interpretations of the morphology and interactions of cement hydration products are developed for prediction of the mechanical properties of hydrated cement paste (hcp). The models are based on the emerging nanostructural vision of calcium silicate hydrate (C-S-H) morphology, and account for the intermolecular interactions between nano-scale calcium C-S-H particles. The models also incorporate the effects of capillary porosity and microcracking within hydrated cement paste. The intrinsic modulus of elasticity and tensile strength of hydrated cement paste are determined based on intermolecular interactions between C-S-H nano-particles. Modeling of fracture toughness indicates that frictional pull-out of the micro-scale calcium hydroxide (CH) platelets makes major contributions to the fracture energy of hcp. A tensile strength model was developed for hcp based on the linear elastic fracture mechanics theories. The predicted theoretical models are in reasonable agreements with empirical models developed based on the experimental performance of hcp.

KI Criteria of Surface Check under Stepwise Loadings of Drying Stresses

  • Park, Jung-Hwan
    • Journal of the Korean Wood Science and Technology
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    • 제27권4호
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    • pp.51-56
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    • 1999
  • Finite element method was utilized to analyze crack tip stress and displacement field under drying stress case as stepwise loading. Opening mode of single-edge-notched model was employed and analyzed by linear elastic fracture mechanics of plane stress case. The drying stresses were applied as stepwise loads at the boundary elements of the model with 10 steps of time serial. The stress intensity factor($K_I$) for opening mode reached to its maximum just prior to the stress reversal. The $K_I$ from the displacement fields revealed 1.7 times higher than those from stress fields. By comparing the two sets of $K_I$ from displacement and stress fields, single parameter $K_I$ showed its validity to characterize displacement fields around the crack tip front while stress field could not be characterized due to large variations between two sets of data.

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초기재령 콘크리트의 파괴 특성 (Fracture Characteristics of Concrete at Early Ages)

  • 이윤;김진근
    • 콘크리트학회논문집
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    • 제14권1호
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    • pp.58-66
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    • 2002
  • 본 연구의 목적은 유효탄성균열모델과 점성균열모델의 개념에 기초한 임계응력확대계수, 임계균열단개구변위와 파괴에너지, 이선형 연화 곡선같은 콘크리트의 파괴특성들을 초기재령 콘크리트에 관해 구명하는 것이다. 이를 위해 모드 I의 파괴를 일으킬 수 있는 쐐기쪼갬시험이 노치가 있는 육각형의 쐐기 시험체에 대하여 수행되었다. 강도와 재령의 변화에 따라 하중-균열입구변위 곡선이 얻어졌으며, 이것은 선형탄성 파괴역학과 유한요소법에 의해 분석되었다. 실험 결과를 분석한 결과, 재령 1일부터 재령 28일까지의 임계응력확대계수와 파괴에너지는 증가하였으며, 임계균열단개구변위는 감소하였다. 또한 수치해석을 통하여 재령 1일부터 재령 28일까지의 이선형 연화 곡선의 네 파라미터를 구할 수 있었다. 이렇게 얻어진 초개재령 콘크리트의 파괴특성치와 이선형 연화 곡선은 초기재령 콘크리트의 파괴 기준과 유한요소해석시의 입력 상수로서 사용될 수 있을 것이다.

Hygrothermal Fracture Analysis in Dissimilar Materials

  • Ahn, Kook-Chan;Lee, Tae-Hwan;Bae, Kang-Yul
    • International Journal of Aeronautical and Space Sciences
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    • 제2권2호
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    • pp.65-72
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    • 2001
  • This paper demonstrates an explicit-implicit, finite element analysis for linear as well as nonlinear hygrothermal stress problems. Additional features, such as moisture diffusion equation, crack element and virtual crack extension(VCE) method for evaluating J-integral are implemented in this program. The Linear Elastic Fracture Mechanics(LEFM) Theory is employed to estimate the crack driving force under the transient condition for an existing crack. Pores in materials are assumed to be saturated with moisture in the liquid form at the room temperature, which may vaporize as the temperature increases. The vaporization effects on the crack driving force are also studied. The ideal gas equation is employed to estimate the thermodynamic pressure due to vaporization at each time step after solving basic nodal values. A set of field equations governing the time dependent response of porous media are derived from balance laws based on the mixture theory. Darcy's law is assumed for the fluid flow through the porous media. Perzyna's viscoplastic model incorporating the Von-Mises yield criterion are implemented. The Green-Naghdi stress rate is used for the invariant of stress tensor under superposed rigid body motion. Isotropic elements are used for the spatial discretization and an iterative scheme based on the full Newton-Raphson method is used for solving the nonlinear governing equations.

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반무한 탄성체의 헤르츠 접촉하의 경사진 표면균열의 전파거동 (Propagation Behavior of Inclined Surface Crack of Semi-Infinite Elastic Body under Hertzian Contact)

  • 김재호;김석삼;박중한
    • 대한기계학회논문집
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    • 제14권3호
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    • pp.624-635
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    • 1990
  • 본 연구에서는 마멸과정을 선형파괴역학적 관점에서 해석하여, 탄성체의 표면 에 산재되어 있는 표면균열의 전파거동을 마멸과정규명의 입장에서 살펴보고자 한다. 우선 마멸거동에 관한 파괴역학적 접근방식에 의한 마멸이론의 확립을 위해서, 표면균 열이 내부균열보다 그 전파 가능성이 높다고 한 Keer등의 주장에 착안하여 Hertz 접촉 압력하의 경사진 표면균열의 전파거동을 선형파괴역학적으로 해석하고자 한다. 이론 해석에 있어서는 표면균열을 인상전립의 연속분포로 치환하고, 전립밀도분포함수에 관 한 특이적분방정식을 유도해서 Erdogangupta의 방법을 이용하여 그 해를 구하였다.

Analysis of quasi-brittle materials at mesoscopic level using homogenization model

  • Borges, Dannilo C;Pituba, Jose J C
    • Advances in concrete construction
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    • 제5권3호
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    • pp.221-240
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    • 2017
  • The modeling of the mechanical behavior of quasi-brittle materials is still a challenge task, mainly in failure processes when fracture and plasticity phenomena become important actors in dissipative processes which occur in materials like concrete, as instance. Many homogenization-based approaches have been proposed to deal with heterogeneous materials in the last years. In this context, a computational homogenization modeling for concrete is presented in this work using the concept of Representative Volume Element (RVE). The material is considered as a three-phase material consisting of interface zone (ITZ), matrix and inclusions-each constituent modeled by an independent constitutive model. The Representative Volume Element (RVE) consists of inclusions idealized as circular shapes symmetrically and nonsymmetrically placed into the specimen. The interface zone is modeled by means of cohesive contact finite elements. The inclusion is modeled as linear elastic and matrix region is considered as elastoplastic material. A set of examples is presented in order to show the potentialities and limitations of the proposed modeling. The consideration of the fracture processes in the ITZ is fundamental to capture complex macroscopic characteristics of the material using simple constitutive models at mesoscopic level.