• 제목/요약/키워드: nonlinear fracture mechanics

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

  • 송하원;전재홍;변근주
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1995년도 가을 학술발표회 논문집
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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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콘크리트 균열진행의 유한요소 정규화 (Finite Element Regularization of Progressive Cracks in Concrete)

  • 송하원;변근주;이주영;서철;심별
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 1994년도 가을 학술발표회 논문집
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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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ON THE TREATMENT OF DUCTILE FRACTURE BY THE LOCAL APPROACH CONCEPT IN CONTINUUM DAMAGE MECHANICS : THEORY AND EXAMPLE

  • Kim, Seoung-Jo;Kim, Jin-Hee;Kim, Wie-Dae
    • Journal of Theoretical and Applied Mechanics
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    • 제2권1호
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    • pp.31-50
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    • 1996
  • In this paper, a finite element analysis based on the local approach concept to fracture in the continuum damage mechanics is performed to analyze ductile fracture in two dimensional quasi-static state. First an isotropic damage model based on the generalized concept of effective stress is proposed for structural materials in the context of large deformation. In this model, the stiffness degradation is taken as a measure of damage and so, the fracture phenomenon can be explained as the critical deterioration of stiffness at a material point. The modified Riks' continuation technique is used to solve incremental iterative equations. Crack propagation is achieved by removing critically damaged elements. The mesh size sensitivity analysis and the simulation of the well known shearing mode failure in plane strain state are carried out to verify the present formulation. As numerical examples, an edge cracked plate and the specimen with a circular hole under plane stress are taken. Load-displacement curves and successively fractured shapes are shown. From the results, it can be concluded that the proposed model based on the local approach concept in the continuum damage mechanics may be stated as a reasonable tool to explain ductile fracture initiation and crack propagation.

비선형 파괴역학에 의한 콘크리트의 파괴거동과 균열성장에 관한 연구 (Fracture Behavior and Crack Growth of Concrete by The Nonlinear Fracture Mechanics)

  • 배주성;나의균
    • 콘크리트학회지
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    • 제2권2호
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    • pp.81-92
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    • 1990
  • 콘크리트는 혼합물로서 비균질성, 이방성 및 비선형성 재료이기 때문에 그의 파괴해석에 있어서 재래의 강도 개념보다 파괴역학 개념을 적용하여 콘크리트의 파괴인성을 도입하여 평가하는 것이 보다 합리적이라 할 수 있다. 지금까지 콘크리트에 적용되어 온 파괴역학 개념은 두가지로 대별될 수 있는데 하나는 선형탄성파괴역학 개념이고 다른 하나는 비선형파괴역학 개념이다. 그러너 전자를 콘크리트에 적용하는데는 문제점과 불합리성이 지적되어 왔다. 본 연구에서는 비선형파괴역학에서 많이 이용되어온 J-적분법과 COD법을 도입하여 굵은골재의 최대치수와 노치깊이의 변화가 콘크리트의 파괴거동, 파괴에너지 및 균열성장에 미치는 영향, 균열개구변위와 파괴에너지의 관계 등을 고찰하기 위하여 콘크리트 작사각형 보를 제작하여 3점 휨 파괴실험을 수행하였다. 그 결과 굵은골재의 최대치수와 노치깊이가 증가할수록 하중-치 짐거동의 비선형성이 더욱 두드러졌고, 굵은골재 최대치수의 증가는 콘크리트의 연성을 증가시켜 보다 안정된 파괴를 유도하였으며, 균열전파경로는 굵은골재의 최대치수가 증가할수록 점점 더 직선에서 벗어나 불규칙적이었으나 노치깊이의 변화에는 거의 영향을 받지 않았다. 또한 파괴에너지는 굵은골재의 최대치수가 증가하고 노치깊이가 감소할수록 증가하였으나, 균열개구변위는 노치깊이가 증가할수록 감소하였으며 굵은골재의 최대치수의 변화에는 거의 영향을 받지 않았다.

A boundary element approach for quasibrittle fracture propagation analysis

  • Tin-Loi, F.
    • Structural Engineering and Mechanics
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    • 제8권5호
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    • pp.439-452
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    • 1999
  • A simple numerical scheme suitable for tracing the fracture propagation path for structures idealized by means of Hillerborg's classical cohesive crack model is presented. A direct collocation, multidomain boundary element method is adopted for the required space discretization. The algorithm proposed is necessarily iterative in nature since the crack itinerary is a priori unknown. The fracture process is assumed to be governed by a path-dependent generally nonlinear softening law. The potentialities of the method are illustrated through two examples.

Smeared와 Discrete 균열에 의한 암염의 유한요소해석 (Finite Element Analysis of Combined Smeared and Discrete Mechanisms for Rock Salt)

  • 윤일로;허광희;황충열
    • 전산구조공학
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    • 제8권4호
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    • pp.107-115
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    • 1995
  • 지하 방사성 폐기물 저장소의 오랜기간동안의 거동은 지반의 파괴와 변형에 영향과 암염의 비선형변형의 예측은 어려운 실정이다. 따라서 본 연구는 암염의 비선형파괴 메커니즘과 비선형 연속체거동의 유한요소모델을 개발하였다.

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Femoral Fracture load and damage localization pattern prediction based on a quasi-brittle law

  • Nakhli, Zahira;Ben Hatira, Fafa;Pithioux, Martine;Chabrand, Patrick;Saanouni, Khemais
    • Structural Engineering and Mechanics
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    • 제72권2호
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    • pp.191-201
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    • 2019
  • Finite element analysis is one of the most used tools for studying femoral neck fracture. Nerveless, consensus concerning either the choice of material characteristics, damage law and /or geometric models (linear on nonlinear) remains unreached. In this work, we propose a numerical quasi-brittle damage model to describe the behavior of the proximal femur associated with two methods to evaluate the Young modulus. Eight proximal femur finite elements models were constructed from CT scan data (4 donors: 3 women; 1 man). The numerical computations showed a good agreement between the numerical curves (load - displacement) and the experimental ones. A very encouraging result is obtained when a comparison is made between the computed fracture loads and the experimental ones ($R^2=0.825$, Relative error =6.49%). All specific numerical computation provided very fair qualitative matches with the fracture patterns for the sideway fall simulation. Finally, the comparative study based on 32 simulations adopting linear and nonlinear meshing led to the conclusion that the quantitatively results are improved when a nonlinear mesh is used.

탄소성 파괴해석을 위한 크랙 평면 평형모형과 항복 선형 파괴역학과의 비교에 관한 연구 (A Comparison of the Crack Plane Equilibrium Model for Elastic-Plastic Fracture Analysis with the Irwin's Plastic Zone Corrected LEFM)

  • 이규용
    • 수산해양기술연구
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    • 제20권1호
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    • pp.30-36
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    • 1984
  • 대규모의 소성역을 동반하면서 파괴하는 고인성 재료의 탄소성 파괴 반가를 위하여 제안된 바 있는 CPE 모형의 유효성을 입증하고자 소성역의 영향을 보정한 선형 파괴역학과의 이론적 검토와 오오스테나이트계 스테인레스강에 대한 실험적 비교검토를 통하여 얻은 결론은 다음과 같다. 예측한 바와 같이 선형 파괴역학의 적용은 소규모 항복조건이 성립하는 경우에만 가능하며 CPE 모형은 대변형을 형성하면서 파괴하는 경우의 파괴모형으로서 유효하다. 더욱 엄밀한 유효성을 입증하기 위하여 다음의 사항이 필요하다고 본다. 1. 크랙의 길이가 짧은 시험편에 대한 실험이 필요하다. 2. 크랙성장 개시점을 정확하게 찾을 수 있는 방법이 필요하다. 3. 파괴 진행영역에 대한 두께의 영향을 고려해 보아야 할 필요성이 있다.

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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.

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

  • 송하원;변근주
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1995년도 봄 학술발표회 논문집
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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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