• Title/Summary/Keyword: Dugdale model

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Plastic Zone Size in a Ductile Layer with an Interface Crack - Case Study for Dissimilar Substrates - (계면균열을 가진 연성접합재의 소성영역 크기 - 이종 모재의 경우 -)

  • Kim, Dong-Hak;Kang, Ki-Ju
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.6
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    • pp.898-904
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    • 2003
  • Using the modified Irwin model and the modified Dugdale model, the plastic zone size near the interface crack tip in a ductile layer bonding two dissimilar elastic substrates is predicted. Validity of the models is examined by finite element method. The effects of several factors such as the mode mixity, T-stress and material properties are explored. The plastic zone size significantly decreases with the Poisson's ratio of the ductile layer.

Analysis of a Crack in Ferroelectric Ceramics Subjected to Electric Fields (전기장을 받는 강유전체 세라믹내의 균열 해석)

  • 범현규;김인옥
    • Journal of the Korean Society for Precision Engineering
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    • v.20 no.6
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    • pp.138-144
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    • 2003
  • A crack in a ferroelectric ceramic subjected to an electric field is analyzed. The boundary of the electrical saturation zone is estimated based on the finite-width saturation zone model, which is analogous to a finite-width Dugdale zone model for mode III. It is shown that the shape and size of the switching zone depends strongly on the boundary of the electrical saturation zone and the ratio of the coercive electric field to the yield electric field. The crack tip stress intensity factor under small scale conditions is evaluated by employing the model of electric nonlinear domain switching. It is found that fracture toughness of the ferroelectric material may be increased or decreased depending on the material property of electrical nonlinearity.

Progressive Fracture Analyses of Concrete by Finite Element Methods (유한요소법에 의한 콘크리트의 진행성 파괴해석)

  • 송하원
    • Magazine of the Korea Concrete Institute
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    • v.8 no.1
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    • pp.145-153
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    • 1996
  • The fracture process zone in concrete is a region ahead of a traction-free crack, in which two major mechanisms, microcracking and bridging, play important roles. The toughness due to bridging is dominant compared to toughness induced by microcracking, so that the bridging is dominani: mechanism governing the fracture process of concrete. Fracture mechanics does work for concrete provided that the fracture process zone is being considered, so that the development of model for the fracture process zone is most important to describe fracture phenomena in concrete. In this paper the bridging zone, which is a part of extended rnacrocrack with stresses transmitted by aggregates in concrete, is modelled by a Dugdale-Barenblatt type model with linear tension-softening curve. Two finite element techniques are shown for the analysis of progressive cracking in concrete based on the discrete crack approach: one with crack element, the other without crack element. The advantage of the technique with crack element is that it dees not need to update the mesh topology to follow the progressive cracking. Numerical results by the techniques are demonstrated.

Fracture Analysis Based on the Critical-CTOA Criterion (임계 CTOA조건을 이용한 파괴해석)

  • 구인회
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.9
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    • pp.2223-2233
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    • 1993
  • An engineering method is suggested to calculate the applied load versus crack extension in the elastic-plastic fracture. The condition for an increment of crack extension is set by a critical increment of crack-up opening displacement(CTOD). The ratio of the CTOD increment to the incremental crack extention is a critical crack-tip opening angle(CTOA), assumed to be constant for a material of a given thickness. The Dugdale model of crack-tip deformation in an infinite plate is applied to the method, and a complete solution for crack extension and crack instability is obtained. For finite-size specimens of arbitrary geometry in general yielding, an approximate generalization of the Dugdale model is suggested so that the approximation approaches the small-scale yielding solution in a low applied load and the finite-element solution in a large applied load. Maximum load is calculated so that an applied load attains either a limit load on an unbroken ligament or a peak load during crack extension. The proposed method was applied to three-point bend specimens of a carbon steel SM45C in various sizes. Reasonable agreements are found between calculated maximum loads and experimental failure loads. Therefore, the method can be a viable alternative to the J-R curve approach in the elastic-plastic fracture analysis.

Fracture Analysis of Concrete Structures using Boundary Element Method (경계요소법에 의한 콘크리트 구조물의 진행성 파괴해석)

  • 송하원;전재홍
    • Computational Structural Engineering
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    • v.9 no.4
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    • pp.127-134
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    • 1996
  • This paper is about a progressive fracture analysis of concrete by boundary element method. From both displacement boundary integral equation and traction boundary integral equation of solids with cracks, a boundary integral equation for crack problem is derived. For the analysis of progressive fracture of concrete, fracture process zone is modelled based on Dugdale-Barenblatt model with linear tension-softening curve. By using the boundary element modeling, the progressive fractures of concrete beam and compact-tension specimens with various loading conditions are analyzed and compared with experiments. The analysis results show that the technique in this paper can predict the maximum strength and the nonlinear behavior of concrete including post-peak behavior.

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Progressive Fracture Analysis of Concrete by Boundary Element Method and its Stabilizing Technique (경계요소법에 의한 콘크리트의 파괴진행해석 및 안정화 기법)

  • 송하원;전재홍
    • Magazine of the Korea Concrete Institute
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    • v.8 no.6
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    • pp.205-212
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    • 1996
  • This paper presents progressive fracture analysis of concrete using boundary element method and its stabilizing technique. To determine ultimate strength and to predict nonlinear behavior of concrete during progressive crack growth, the modelling of fracture process zone is done based on Dugdale-Barenblatt model with linear tension-softening curve. We regulate displacement and traction boundary integral equation of solids including crack boundary and analyze progressive fracture of concrete beam and compact tension specimen. Also a numerical technique which considers the growth of stress-free crack of concrete during the analysis and removes snapback of postpeak behavior is proposed.

Numerical Analysis of Crack Growth Using a Crack Closure Model (균열닫힘모델을 이용한 수치해석)

  • 최동호;최항용;이준구
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2001.04a
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    • pp.365-372
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    • 2001
  • This study is concerned with the application of an analytical model of cyclic crack growth that includes the effects of crack closure. The crack closure model is based on the Dugdale model and the strip model, considering the plasticity-induced closure which is caused by residual plastic deformation remaining in the wake of an advancing crack. This study is performed to get the relation between crack growth and crack opening stress with the constant stress ratio, and the relation between stress ratio and crack opening stress with the constant maximum stress under constant-amplitude loading. Under constant-amplitude loading, the crack opening stress is conversed the constant value as a crack grows and is proportion to both the stress ratio and the maximum stress. The crack closure effect, however, is decreased in the positive stress ratio and disappeared at about 0.7. The crack growth analysis using the crack closure model shows that the influence of stress ratio is minimized in the relation between crack growth ratio and effective stress intensity range specially at the negative stress ratio.

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Finite Element Modeling of Fracture Process Zone in Concrete (콘크리트 파괴진행영역의 유한요소모델링)

  • 송하원;변근주
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1995.04a
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    • pp.35-41
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    • 1995
  • Fracture Mechanics does work for concrete, provided that a finite nonlinear zone at fracture front is being considered. The development of model for fracture process zone is most important to describe fracture phenomena in concrete. The fracture process zone is a region ahead of a traction-free crack, in which two major mechanisms, microcracking and bridging, play important rules. The toughness due to bridging is dominant compared to toughness induced by microcracking, so that the bridging is dominant mechanism governing the fracture process of concrete. In this paper the bridging zone, which is a part of extended macrocrack with stresses transmitted by aggregates in concrete, is model led by a Dugdale-Barenblatt type model with linear tension-softening curve. Two finite element techniques are shown for the model of fracture process zone in concrete.

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Finite Element Regularization of Progressive Cracks in Concrete (콘크리트 균열진행의 유한요소 정규화)

  • Song, H.W.;Byun, K.J.;Lee, J.Y.;Suh, C.;Shim, B.
    • Proceedings of the Korea Concrete Institute Conference
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    • 1994.10a
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    • pp.279-284
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    • 1994
  • Fracture mechanics does work for concrete, provided that one used a proper, nonlinear form of fracture mechanics in which a finite nonlinear zone at fracture front is being considered. The fracture process zone is a region ahead of a traction-free crack, in which two major mechanisms, microcracking and bridging, play important rules. The toughness due to bridging is dominant compared to the toughness induced by the microcracking, so that the bridging is the dominant mechanism governing the fracture process of concrete. In this paper the bridging zone, which is a part of extended macrocrck with stresses transmitted by aggregates in concrete, is modelled by a Dugdale-Barenblatt type model with lenear tension-softening curve for the analyses of crack growth in concrete Finite element technique is shown for inplementation of the model.

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Fracture Analysis of Concrete Cylinder by Boundary Element Method (경계요소법에 의한 콘크리트 원통형관의 파괴해석)

  • 송하원;전재홍;변근주
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1995.10a
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    • pp.171-177
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    • 1995
  • Fracture mechanics does work for concrete, provided that one uses a proper, nonlinear form of fracture mechanics in which a finite nonlinear zone at fracture front is being considered. The fracture process zone is a region ahead of a traction-free crack, and the development of model of fracture process zone is most important to describe fracture phenomena in concrete. This paper is about fracture behavior of concrete cylinder under lateral pressure. Concrete cylinders were made of high strength normal connote, steel fiber reinforced concrete and steel fiber reinforced polymer-impregnated concrete and concrete and the fracture behavior such as cracking propagation and ultimate load are observed. The fracture process zone is modelled by a Dugdale-Barenblatt type model with linear tension-softening curve and are implemented to the boundary element technique for the fracture analyses of the cylinders. The experimental results are compared with analysis results and tension-softening curves for the steel fiber reinforced concrete and steel fiber reinforced polymer-impregnated concrete are obtained by back analyses.

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