• 제목/요약/키워드: Fracture Strain

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압력용기강의 파괴저항곡선의 파괴변형률에 관한 연구 (A study on the Relations Between Fracture Strain and Fracture Resistance Curve of nuclear Pressure Vessel Steel)

  • 임만배
    • 한국해양공학회지
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    • 제14권1호
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    • pp.44-51
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    • 2000
  • Safety and integrity are required for reactor pressure vessels because they are operated in high temperature. There are single specimen method multiple specimen method and load ratio analysis method which used as evaluation of safety and integrity for reactor pressure vessels. In this study the fracture resistance curve(J-R curve) elastic-plastic fracture toughness($J_{IC}$) and material tearing modulus ($T_{mat}$) of SA 508 class 3 alloy steel used as reactor pressure vessel steel are measured and evaluated at room temperature 20$0^{\circ}C$ and 30$0^{\circ}C$ according to unloading compliance method and load ration analysis method. And then the comparison with experimental $J_{IC}$ and theoretical$J_{IC}$ by local fracture strain is managed.

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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.

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.

Rock fracturing mechanisms around underground openings

  • Shen, Baotang;Barton, Nick
    • Geomechanics and Engineering
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    • 제16권1호
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    • pp.35-47
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    • 2018
  • This paper investigates the mechanisms of tunnel spalling and massive tunnel failures using fracture mechanics principles. The study starts with examining the fracture propagation due to tensile and shear failure mechanisms. It was found that, fundamentally, in rock masses with high compressive stresses, tensile fracture propagation is often a stable process which leads to a gradual failure. Shear fracture propagation tends to be an unstable process. Several real case observations of spalling failures and massive shear failures in boreholes, tunnels and underground roadways are shown in the paper. A number of numerical models were used to investigate the fracture mechanisms and extents in the roof/wall of a deep tunnel and in an underground coal mine roadway. The modelling was done using a unique fracture mechanics code FRACOD which simulates explicitly the fracture initiation and propagation process. The study has demonstrated that both tensile and shear fracturing may occur in the vicinity of an underground opening. Shallow spalling in the tunnel wall is believed to be caused by tensile fracturing from extensional strain although no tensile stress exists there. Massive large scale failure however is most likely to be caused by shear fracturing under high compressive stresses. The observation that tunnel spalling often starts when the hoop stress reaches $0.4^*UCS$ has been explained in this paper by using the extension strain criterion. At this uniaxial compressive stress level, the lateral extensional strain is equivalent to the critical strain under uniaxial tension. Scale effect on UCS commonly believed by many is unlikely the dominant factor in this phenomenon.

Numerical Ductile Tearing Simulation of Circumferential Cracked Pipe Tests under Dynamic Loading Conditions

  • Nam, Hyun-Suk;Kim, Ji-Soo;Ryu, Ho-Wan;Kim, Yun-Jae;Kim, Jin-Weon
    • Nuclear Engineering and Technology
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    • 제48권5호
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    • pp.1252-1263
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    • 2016
  • This paper presents a numerical method to simulate ductile tearing in cracked components under high strain rates using finite element damage analysis. The strain rate dependence on tensile properties and multiaxial fracture strain is characterized by the model developed by Johnson and Cook. The damage model is then defined based on the ductility exhaustion concept using the strain rate dependent multiaxial fracture strain concept. The proposed model is applied to simulate previously published three cracked pipe bending test results under two different test speed conditions. Simulated results show overall good agreement with experimental results.

극한지용 고장력강의 평균 응력 삼축비 및 평균 정규 로드 파라메터를 고려한 3차원 파단 변형률 평면 개발: 제2부 파단 변형률 평면의 정식화 (Development of Three-Dimensional Fracture Strain Surface in Average Stress Triaxiaility and Average Normalized Lode Parameter Domain for Arctic High Tensile Steel: Part II Formulation of Fracture Strain Surface)

  • 정준모;박성주;김영훈
    • 한국해양공학회지
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    • 제29권6호
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    • pp.454-462
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    • 2015
  • An extended study was conducted on the fracture criterion by Choung et al. (2011; 2012) and Choung and Nam (2013), and the results are presented in two parts. The theoretical background of the fracture and the results of new experimental studies were reported in Part I, and three-dimensional fracture surface formulations and verifications are reported in Part II. How the corrected true stress can be processed from the extrapolated true stress is first introduced. Numerical simulations using the corrected true stress were conducted for pure shear, shear-tension, and pure compression tests. The numerical results perfectly coincided with test results, except for the pure shear simulations, where volume locking appeared to prevent a load reduction. The average stress triaxialities, average normalized lode parameters, and equivalent plastic strain at fracture initiation were extracted from numerical simulations to formulate a new three-dimensional fracture strain surface. A series of extra tests with asymmetric notch specimens was performed to check the validity of the newly developed fracture strain surface. Then, a new user-subroutine was developed to calculate and transfer the two fracture parameters to commercial finite element code. Simulation results based on the user-subroutine were in good agreement with the test results.

조선 해양 구조물용 강재의 소성 및 파단 특성 II: 파단의 이론적 배경 (Plasticity and Fracture Behaviors of Marine Structural Steel, Part II: Theoretical Backgrounds of Fracture)

  • 정준모;심천식;김경수
    • 한국해양공학회지
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    • 제25권2호
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    • pp.92-100
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    • 2011
  • The main goal of this paper is to provide the theoretical background for the fracture phenomena in marine structural steels. In this paper, various fracture criteria are theoretically investigated: shear failure criteria with constant failure strain and stress triaxiality-dependent failure strain (piecewise failure and Johnson-Cook criteria), forming limit curve failure criterion, micromechanical porosity failure criterion, and continuum damage mechanics failure criterion. It is obvious that stress triaxiality is a very important index to determine the failure phenomenon for ductile materials. Assuming a piecewise failure strain curve as a function of stress triaxiality, the numerical results coincide well with the test results for smooth and notched specimens, where low and high stress triaxialities are observed. Therefore, it is proved that a failure criterion with reliable material constants presents a plastic deformation process, as well as fracture initiation and evolution.

Elastic-plastic fracture of functionally graded circular shafts in torsion

  • Rizov, Victor I.
    • Advances in materials Research
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    • 제5권4호
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    • pp.299-318
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    • 2016
  • Analytical investigations were performed of a longitudinal crack representing a cylindrical surface in circular shafts loaded in torsion with taking into account the non-linear material behavior. Both functionally graded and multilayered shafts were analyzed. It was assumed that the material is functionally graded in radial direction. The mechanical behavior of shafts was modeled by using non-linear constitutive relations between the shear stresses and shear strains. The fracture was studied in terms of the strain energy release rate. Within the framework of small strain approach, the strain energy release rate was derived in a function of the torsion moments in the cross-sections ahead and behind the crack front. The analytical approach developed was applied to study the fracture in a clamped circular shaft. In order to verify the solution derived, the strain energy release rate was determined also by considering the shaft complimentary strain energy. The effects were evaluated of material properties, crack location and material non-linearity on the fracture behavior. The results obtained can be applied for optimization of the shafts structure with respect to the fracture performance. It was shown that the approach developed in the present paper is very useful for studying the longitudinal fracture in circular shafts in torsion with considering the material non-linearity.

압축파괴에너지를 도입한 횡구속 고강도 콘크리트의 응력-변형률 모델 (Stress-strain Model of Laterally Confined High-strength Concrete with the Compressive Fracture Energy)

  • 홍기남;심원보
    • 한국구조물진단유지관리공학회 논문집
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    • 제23권1호
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    • pp.54-62
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    • 2019
  • 본 논문에서는 압축파괴에너지를 이용하여 고강도 구속콘크리트에 대한 응력-변형률 모델을 제안하였다. 참고문헌[5]에서 저자가 실시한 압축실험에는 변형률 게이지를 부착한 아크릴 막대를 실험체의 중앙부에 매립하여 압축부재의 국부 변형률 측정을 시도하였다. 이 아크릴 막대를 이용한 국부 변형률 측정은 매우 효과적인 것으로 나타났다. 압축파괴영역길이는 아크릴 막대로부터 측정된 국부 변형률 분포에 기초하여 정의되었다. 구체적으로, 구속콘크리트의 국소파괴영역길이는 압축강도 발현시의 변형률 ${\varepsilon}_{cc}$의 2배 이상 변형률이 증가하는 영역으로 정의하였다. 또한, 동일한 횡구속압을 받는 압축부재에 흡수된 에너지양은 부재의 형상이나 크기에 관계없이 일정하다는 가정에서 압축 파괴에너지를 도입한 구속콘크리트의 응력-변형률 관계를 제안하였다. 본 연구에서 제안된 모델은 본 연구의 실험결과뿐만 아니라 타 연구자들의 실험결과를 대체적으로 잘 예측하는 것으로 나타났다.

Pseudo-strain hardening and mechanical properties of green cementitious composites containing polypropylene fibers

  • Karimpour, Hossein;Mazloom, Moosa
    • Structural Engineering and Mechanics
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    • 제81권5호
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    • pp.575-589
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    • 2022
  • In order to enhance the greenness in the strain-hardening composites and to reduce the high cost of typical polyvinyl alcohol fiber reinforced engineered cementitious composite (PVA-ECC), an affordable strain-hardening composite with green binder content has been proposed. For optimizing the strain-hardening behavior of cementitious composites, this paper investigates the effects of polypropylene fibers on the first cracking strength, fracture properties, and micromechanical parameters of cementitious composites. For this purpose, digital image correlation (DIC) technique was utilized to monitor crack propagation. In addition, to have an in-depth understanding of fiber/matrix interaction, scanning electron microscope (SEM) analysis was used. To understand the effect of fibers on the strain hardening behavior of cementitious composites, ten mixes were designed with the variables of fiber length and volume. To investigate the micromechanical parameters from fracture tests on notched beam specimens, a novel technique has been suggested. In this regard, mechanical and fracture tests were carried out, and the results have been discussed utilizing both fracture and micromechanical concepts. This study shows that the fiber length and volume have optimal values; therefore, using fibers without considering the optimal values has negative effects on the strain-hardening behavior of cementitious composites.