• 제목/요약/키워드: Stress-Modified Fracture Strain Model

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변형률 속도를 고려한 유한요소 기반 연성 찢김 해석 기법 개발 (Development of Finite Element Ductile Tearing Simulation Model Considering Strain Rate Effect)

  • 남현석;김지수;김진원;김윤재
    • 대한기계학회논문집A
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    • 제40권2호
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    • pp.167-173
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    • 2016
  • 본 논문은 유한요소해석을 이용한 고변형률 조건에서의 연성파손 해석기법을 제안한다. 고변형률 하중이 작용하는 구조물에 대한 파괴거동 예측을 위해 본 논문에서는 Johnson/Cook 모델을 고려한 수정응력 파괴변형률 모델을 사용하였다. 제시된 모델은 인장 실험 모사해석결과로부터 얻어지는 삼축응력 및 파괴변형률에 의해 파손이 정의된다. 다양한 실험속도의 인장 실험결과 및 정적 하중조건에서의 파괴인성 실험을 이용하여 수정응력 파괴변형률 모델의 변수를 결정하였다. 결정된 모델을 이용하여 동적하중조건에서 파괴인성시편에 대한 해석을 수행하였으며 해석결과와 실험결과를 비교하여 해석기법을 검증하였다.

Experimental Determination of Concrete Fracture Properties with Modified S-FPZ Model

  • Yon, Jung-Heum;Kim, Tai-Hoon
    • International Journal of Concrete Structures and Materials
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    • 제18권3E호
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    • pp.213-219
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    • 2006
  • Modified singular fracture process zone(S-FPZ) model is proposed in this paper to determine a fracture criterion for continuous crack propagation in concrete. The investigated fracture properties of the proposed fracture model are strain energy release rate at a micro-crack tip and the relationship between crack closure stress(CCS) and crack opening displacement(COD) in the FPZ. The proposed model can simulate the actual fracture energy of experimental results fairly well. The results of the experimental data analysis show that specimen geometry and loading condition did not affect the CCS-COD relation. However, the strain energy release rate is a function of not only specimen geometry but also crack extension. The strain energy release rate remained constantly at the minimum value up to the crack extension of 25 mm, and then it increased linearly to the maximum value. The maximum fracture criterion occurred at the peak load for specimens of large size. The fracture criterion remained at the maximum value after the peak load. The variation of the fracture criterion is caused by micro-cracking and micro-crack localization. The fracture criterion of strain energy release rate can simply be the size effect of concrete fracture, and it can be used to quantify the micro-cracking and micro-crack localizing behavior of concrete.

Dynamic Fracture Properties of Modified S-FPZ Model for Concrete

  • Yon, Jung-Heum;Seo, Min-Kuk
    • International Journal of Concrete Structures and Materials
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    • 제19권1E호
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    • pp.25-32
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    • 2007
  • The fracture energy evaluated from the previous experimental results can be simulated by using the modified singular fracture process zone (S-FPZ) model. The fracture model has two fracture properties of strain energy release rate for crack extension and crack close stress versus crack width relationship $f_{ccs}(w)$ for fracture process zone (FPZ) development. The $f_{ccs}(w)$ relationship is not sensitive to specimen geometry and crack velocity. The fracture energy rate in the FPZ increases linearly with crack extension until the FPZ is fully developed. The fracture criterion of the strain energy release rate depends on specimen geometry and crack velocity as a function of crack extension. The behaviors of micro-cracking, micro-crack localization and full development of the FPZ in concrete can be explained theoretically with the variation of strain energy release rate with crack extension.

판재의 이방성을 고려한 연성파단모델 개발 (Modeling of a Ductile Fracture Criterion for Sheet Metal Considering Anisotropy)

  • 박남수;허훈
    • 소성∙가공
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    • 제25권2호
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    • pp.91-95
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    • 2016
  • This paper is concerned with modeling of a ductile fracture criterion for sheet metal considering anisotropy to predict the sudden fracture of advanced high strength steel (AHSS) sheets during complicated forming processes. The Lou−Huh ductile fracture criterion is modified using the Hill’s 48 anisotropic plastic potential instead of the von Mises isotropic plastic potential to take account of the influence of anisotropy on the equivalent plastic strain at the onset of fracture. To determine the coefficients of the model proposed, a two dimensional digital image correlation (2D-DIC) method is utilized to measure the strain histories on the surface of three different types of specimens during deformation. For the derivation of an anisotropic ductile fracture model, principal stresses (𝜎1,𝜎2, 𝜎3) are expressed in terms of the stress triaxiality, the Lode parameter, and the equivalent stress (𝜂𝐻, 𝐿,) based on the Hill’s 48 anisotropic plastic potential. The proposed anisotropic ductile fracture criterion was quantitatively evaluated according to various directions of the maximum principal stress. Fracture forming limit diagrams were also constructed to evaluate the forming limit in sheet metal forming of AHSS sheets over a wide range of loading conditions.

고강도 7xxx 알루미늄 합금의 응력부식균열에 미치는 부식환경과 응력속도의 영향 (Effect of Corrosion Atmosphere and Strain Rate on the Stress Corrosion Cracking of High Strength 7xxx Aluminum Alloy)

  • 윤여완;김상호
    • 한국표면공학회지
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    • 제41권3호
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    • pp.121-128
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    • 2008
  • High strength 7xxx aluminum alloys have been applied to automotive bump back beam of the some limited model for light weight vehicle. The aluminum bump back beam is manufactured through extrusion, bending and welding. The residual stress given on these processes combines with the corrosive atmosphere on the road spreaded with corrosive chemicals to melt snow to occur the stress corrosion cracking. The composition of commercial 7xxx aluminum has Zn/Mg ratio about 3 and Cu over 2 wt% for better strength and stress corrosion cracking resistivity. But this composition isn't adequate for appling to the automotive bump back beam with high resistance to extrusion and bad weldability. In this study the composition of 7xxx aluminum alloy was modified to high Zn/Mg ratio and low Cu content for better extrusion and weldability. To estimate the resistivity against stress corrosion cracking of this aluminum alloy by slow strain rate test, the corrosion atmosphere and strain rate separate the stress corrosion cracking from conventional corrosion must be investigated. Using 0.6 Mol NaCl solution on slow strain rate test the stress corrosion cracking induced fracture was not observed. By adding 0.3% $H_2O_2$ and 0.6M $Na_2SO_4$ to 1M NaCl solution, the corrosion potential and current density of polarization curve moved to active potential and larger current density, and on the slow strain rate test the fracture energy in solution was lower than that in pre-exposure. These mean the stress corrosion cracking induced fracture can be estimated in this 1M NaCl + 0.3% $H_2O_2$ + 0.6M $Na_2SO_4$ solution. When the strain rate was below $2{\times}10^{-6}$, the stress corrosion cracking induced fracture start to be observed.

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.

수정 특이-파괴진행대이론의 파괴특성에 대한 균열속도의 영향 (Effects of Crack Velocity on Fracture Properties of Modified S-FPZ Model)

  • 연정흠
    • 콘크리트학회논문집
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    • 제16권4호
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    • pp.511-520
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    • 2004
  • 이 연구에서는 기존의 콘크리트 실험에서 평가된 파괴에너지를 수정 특이-파괴진행대 이론에 대해 해석하였다. 수정 특이-파괴진행대 이론은 균열성장에 대한 에너지해방률과 균열면의 파괴진행에 대한 균열면응력-균열폭 관계의 두 파괴특성을 필요로 한다. 해석결과 균열면응력-균열폭 관계는 시험편의 형상과 균열속도에 민감하지 않았다. 파괴진행대에서 파괴에너지율은 파괴진행대가 완전히 형성될 때까지 균열성장길이에 선형으로 증가하였으며, 이후에는 파괴에너지밀도로 일정한 값을 유지하였다. 변형에너지방출률은 시험편의 형상과 균열속도에 큰 변화를 보였으며, 균열속도에 대해서는 선형의 대수함수로 표현될 수 있다. 균열성장에 대한 변형에너지방출률의 변화는 다른 실험의 미세균열의 성장과 국부화 그리고 완전 파괴진행대의 형성에 대한 이론적인 근거를 보여준다.

조사취화를 모사한 스테인레스강의 파괴저항선도를 예측하기위한 유한요소 손상해석기법 (Finite Element Damage Analysis Method for J-Resistance Curve Prediction of Cold-Worked Stainless Steels)

  • 서준민;김지수;김윤재
    • 한국압력기기공학회 논문집
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    • 제14권1호
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    • pp.1-7
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    • 2018
  • Materials in nuclear power plants can be embrittled by neutron irradiation. According to existing studies, the effect of the material property by irradiation embrittlement can be approximately simulated by cold working (pre-strain). In this study, finite element damage analysis method using the stress-modified fracture strain model is proposed to predict J-Resistance curves of irradiated SUS316 stainless steel. Experimental data of pre-strained SUS316 stainless steel material are obtained from literature and the damage model is determined by simulating the tensile and fracture toughness tests. In order to consider damage caused by the pre-strain, a pre-strain constant is newly introduced. Experimental J-Resistance curves for various degrees of pre-strain are well predicted.

C(T) 시편 측면 홈 유무에 따른 파괴저항곡선 변화가 유한요소 손상모델 변수 결정에 미치는 영향 평가 (Evaluation of the Effect of Fracture Resistance Curve Change Owing to the Presence or Absence of Side Groove in C(T) Specimen on Finite Element Failure Model Parameter Determination)

  • 김훈태;류호완;김윤재;김종성;최명락;김진원
    • 대한기계학회논문집A
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    • 제40권6호
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    • pp.539-546
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    • 2016
  • 본 연구에서는 C(T) 시편 측면 홈의 유무에 따른 J-R 곡선의 변화가 유한요소 손상해석의 모델변수 결정에 미치는 영향을 알아보았다. 손상해석은 수정 응력 파괴변형률 모델을 이용하였다. C(T) 시편은 SA508 Gr. 1a 배관재에서 채취하였고 일부에 측면 홈이 가공되었다. 시험은 상온과 원전 운전 온도인 $316^{\circ}C$에서 각각 수행되었으며, 시험 결과 얻은 J-R 곡선을 모사하여 손상모델 변수를 얻었다. 그 결과, 측면 홈의 유무에 따른 J-R 곡선의 변화는 손상모델 변수 결정에 영향을 주지 않음을 확인하였다.

콘크리트의 연속적인 균열성장에 대한 수정 특이-파괴진행대 이론 (Modified S-FPZ Model for a Running Crack in Concrete)

  • 연정흠
    • 콘크리트학회논문집
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    • 제15권6호
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    • pp.802-810
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    • 2003
  • 이 논문에서는 균열성장에 따른 파괴기준의 변화를 고려할 수 있는 수정 특이-파괴진행대 이론이 제안되었다. 제안된 파괴이론의 파괴특성은 균열의 성장기준이 되는 미소균열단에서 에너지해방률과 미소균열단 뒤에 형성되는 파괴진행대에서 균열면 응력-변위 관계이다. 제안된 파괴이론에 의한 파괴에너지는 기존의 콘크리트 파괴실험 결과로부터 평가된 파괴에너지를 충분히 만족할 수 있었다. 실험자료의 분석결과는 파괴진행대에서 균열면 응력-변위 관계는 시험편의 기하학적 특성에 큰 영형을 받지 않으나, 에너지해방률의 파괴기준은 시험편의 기하학적 특성과 하중조건뿐만 아니라 균열성장길이에 영향을 받는 것을 보여준다. 25mm의 균열성장까지 일정한 값을 유지하던 에너지해방률은 균열성장에 대해 선형으로 최대 값까지 증가하였다. 충분한 크기의 시험편에서 최대 에너지해방률은 최대하중에서 발생되었으며, 최대하중 이후의 균열성장에 대해 이 값을 유지하였다. 균열성장에 따른 파괴기준의 변화는 미소균열의 성장과 국부화에 의한 것으로 판단된다. 에너지해방률에 의한 파괴기준의 평가는 콘크리트 파괴거동의 크기효과를 단순화하며, 미소균열의 성장과 국부화에 대한 정량화에 사용될 수 있을 것으로 기대된다.