• 제목/요약/키워드: equivalent uniaxial

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Obtaining equivalent fracture toughness of concrete using uniaxial compression test

  • Li, Zongjin;Zhao, Yanhua
    • Computers and Concrete
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    • 제7권4호
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    • pp.387-402
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    • 2010
  • From typical stress-axial strain curve and stress-volume strain curve of a concrete under uniaxial compression, the initiation and localization of microcracks within the interior of the specimen can be identified. The occurrence of random microcrack indicates the end of the linear elasticity, and the localization of microcrack implies formation of major crack, which triggers the onset of unstable crack propagation. The interval between initiation and localization of microcracks is characterized by a stable microcrack growth. Based on fracture behavior observed from a uniaxial compressive test of a concrete cylinder, a model has been developed to extract fundamental fracture properties of a concrete, i.e. the equivalent fracture toughness and the size of fracture process zone. The introduction of cracking Poisson's ratio accounts for tensile failure characteristics of concrete even under uniaxal compression. To justify the validity of the model proposed, tests on three-point bending have been performed to obtain the fracture toughness in accordance with two parameter fracture model and double-K fracture model. Surprisingly, it yields favorably comparable results and provides an encouraging alternative approach to determine fracture properties for concretes.

철근(鐵筋)콘크리트 구조물(構造物)의 비선형(非線型) 해석(解析)에 관한 연구(硏究) (A Study on Nonlinear Analysis of Reinforced Concrete Structures)

  • 장동일;곽계환
    • 대한토목학회논문집
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    • 제7권2호
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    • pp.69-77
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    • 1987
  • 철근 콘크리트 구조물의 재료적 비선형 해석을 위해 유한요소법을 적용하였다. 2 축응력 상태에서의 콘크리트 거동은 인장균열과 균열사이의 인장증강효과(tension stiffening effect) 그리고 최대압축 강도를 넘어서의 변형연화(strain-softening) 효과를 고려하는 비선형 구성 방정식으로 나타냈다. 콘크리트를 직교성 (orthotropic) 재료로 가정함으로써 비선형 탄성체로 간주하고, 등가일축변형도 개념을 사용한 등가 일축 응력-변형도(equivalent uniaxial stress-strain) 관계식으로 모형화하고, 철근 보강재는 Bauschinger 효과를 갖는 탄소성 변형 경화재료(elasto-plastic strain-hardening material)로 모형화 했다. 평면 응력 상태에서 철근콘크리트 보의 모형화는 각 절점에 2 개의 자유도를 갖는 사각형요소로 모형화하여 적용 시쳤으며, 이로부터 구한 유한요소해석의 결과치를 실험결과치의 중앙처짐, 응력, 변형율 그리고 균열성장과정에 대하여 비교 검토 하였다.

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박판 크리프 수명평가에 마찰계수의 영향 (Effects of Friction Coefficient on Creep Life Assessment of Sheet)

  • 정지용;임지우;금영탁
    • 소성∙가공
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    • 제19권7호
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    • pp.435-440
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    • 2010
  • The creep life of 9Cr1MoVNb steel, in terms of Larson-Miller parameter(LMP), was evaluated by small punch(SP) creep simulation and verified by uniaxial creep test. By employing the elastoplastic FEM(finite element method), the small punch creep behaviors associated with various friction coefficients were simulated to identify a real friction phenomena. The friction coefficient, ${\mu}$=0.7, determined by comparing deflection history was used in the small punch creep simulation to find the equivalent stresses with which the relationship between punch load and uniaxial creep stress was found. The creep life was then predicted by the LMP, which was the relationship among the rupture time, temperature, and stress. Finally, the LMP calculated by SP-creep simulation was compared with that had computed by the uniaxial creep test and fairly matched LMPs were found.

크리프 물성 평가를 위한 소형 펀치 크리프 해석 (Small Punch Creep Behavior Analysis for Assessment of Creep Properties)

  • 임지우;김범준;김문기;임병수
    • 대한금속재료학회지
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    • 제48권11호
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    • pp.965-973
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    • 2010
  • The small punch creep (SPC) test has recently received much attention as a new alternative to the conventional uniaxial creep test because it needs only a miniature-sized specimen directly detached from an operating system or component without any serious sampling damages. However, it is difficult to obtain the equivalent uniaxial creep data directly from the SPC data. As a specimen is deformed by a punch in the SPC test, the test result is sensitive to the friction between them. Finite element analyses with various friction coefficients was performed and showed a tendency of increased SPC life with an increased friction coefficient. The necking position predicted by the SPC simulation with a proper friction coefficient showed good agreement with that observed from the real SPC test. Finally, a noble method to convert the SPC load and displacement rate into the equivalent uniaxial creep stress and strain rate, respectively, was established in this study.

구속응력을 받는 콘크리트 구조물 해석을 위한 콘크리트 구성모델 (A Concrete Model for Analysis of Concrete Structure with Confinement)

  • 권민호;조창근
    • 콘크리트학회논문집
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    • 제15권3호
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    • pp.433-442
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    • 2003
  • 본 연구에서는 단조하중, 반복하중, 비례하중, 비례하지 않는 하중을 받는 콘크리트 구조물의 3차원 유한요소해석을 위한 비선형 아소성 콘크리트 모델을 개발하였다. 이 구성모델은 등가일축변형률 개념을 기초로 하여 3차원 구성관계를 세 개의 서로 독립된 등가일축 구성관계로 바꾸고 이들 통하여 콘크리트의 거동을 예측하도록 모델되었다. 일축 구성관계는 Willam-Warnke의 파괴면을 이용하여 주응력공간에서 구해진 최대 압축응력으로부터 결정되었다. 특히 중수압축을 따라 재하되는 하중에 대한 콘크리트의 비선형 특성을 예측하기 위하여 파괴면에 캡면을 도입하였다. 일축 구성관계는 Popovis와 Saenz의 모델을 근거로 하여 구속응력이 증가함에 따라 취성에서 연성으로 변화하는 현상을 묘사할 수 있도록 새롭게 유도하였다. 개발된 모델을 모델의 성능을 평가하기 위하여 여러 실험결과와의 비교를 시도하였다. 먼저 일정한 구속응력과 단조하중을 받는 실험결과와 비교하였고, 이축압축실험과 비례하지 않는 하중과 반복하중을 받는 삼축압축 실험결과와 비교하였다.

콘크리트의 이방성 손상-소성 모델 (Anisotropic Continum Damage-Plastic Model for Concrete)

  • 변근주;송하원;이기성;김종우
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 1994년도 봄 학술발표회 논문집
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    • pp.91-96
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    • 1994
  • The growth and propagation of microcracks existed in concrete cause failure of concrete. This is called "damage". The concepts of two principles, equivalent strain principle and equivalent energy principle, are reviewed and compared in the case of uniaxial compressior to concrete. The damage evolution law and constitutive equation are derived by using the Helmholz free energy and the dissipation potential by means of the thermodynamic principles.rinciples.

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소형펀치-크리프 시험에 대한 응력해석과 일축 크리프 시험과의 상관성에 관한 연구 (A Study on Stress Analysis of Small Punch-Creep Test and Its Experimental Correlations with Uniaxial-Creep Test)

  • 이송인;백승세;권일현;유효선
    • 대한기계학회논문집A
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    • 제26권12호
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    • pp.2565-2573
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    • 2002
  • A basic research was performed to ensure the usefulness of Small Punch-creep(SP-creep) test for residual life evaluation of heat resistant components effectively. This paper presents analytical results of initial stress and strain distributions in SP specimen caused by constant loading for SP-creep test and its experimental correlations with uniaxial creep(Ten-creep) test on 9Cr1MoVNb steel. It was shown that the initial maximum equivalent stress, ${\sigma}_{eq{\cdot}max}$ from FE analysis was correlated with steady-state equivalent creep strain rate, ${\epsilon}_{qf-ss'}$ rupture time, $t_r$, activation energy, Q and Larson-Miller Parameter, LMP during SP-creep deformation. The simple correlation laws, ${\sigma}_{sp}-{\sigma}_{TEN}$, $P_{sp}-{\sigma}_{TEN}\; and\; Q_{sp}-Q_{TEN}$ adopted to established a quantitative correlation between SP-creep and Ten-creep test data. Especially, the activation energy obtained from SP-creep test is linearly related to that from Ten-creep test at $650^{\circ}C$ as follows : $Q_{SP-P}\;{\risingdotseq}\;1.37 \;Q_{TEN},\; Q_{SP-{\sigma}}{\risingdotseq}1.53\; Q_{TEN}$.

Deformation behaviours of SS304 tubes in pulsating hydroforming processes

  • Yang, Lianfa;Wang, Ninghua;He, Yulin
    • Structural Engineering and Mechanics
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    • 제60권1호
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    • pp.91-110
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    • 2016
  • Tube hydroforming (THF) under pulsating hydraulic pressures is a novel technique that applies pulsating hydraulic pressures that are periodically increased to deform tubular materials. The deformation behaviours of tubes in pulsating THF may differ compared to those in conventional non-pulsating THF due to the pulsating hydraulic pressures. The equivalent stress-strain relationship of metal materials is an ideal way to describe the deformation behaviours of the materials in plastic deformation. In this paper, the equivalent stress-strain relationships of SS304 tubes in pulsating hydroforming are determined based on experiments and simulation of free hydraulic bulging (FHB), and compared with those of SS304 tubes in non-pulsating THF and uniaxial tensile tests (UTT). The effect of the pulsation parameters, including amplitude and frequency, on the equivalent stress-strain relationships is investigated to reveal the plastic deformation behaviours of tubes in pulsating hydroforming. The results show that the deformation behaviours of tubes in pulsating hydroforming can be well described by the equivalent stress-stain relationship obtained by the proposed method. The amplitude and frequency of pulsating hydraulic pressure have distinct effects on the equivalent stress-strain relationships-the equivalent stress becomes augmented and the formability is enhanced with the increase of the pulsation amplitude and frequency.

유한요소해석을 이용한 소형펀치-크리프 시험에 관한 연구 (II) - SP-Creep 시험과 일축 크리프 시험의 상관성을 중심으로 - (A Study on Small Punch-Creep Test Using Finite Element Analysis II)

  • 이송인;권일현;김연직;안병국;안행근;백승세;유효선
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 추계학술대회논문집A
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    • pp.111-116
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    • 2001
  • Small punch-creep(SP-Creep) test technique has been applied for evaluating the creep characteristics for high temperature materials. However, in order to evaluate the damage and predict the remaining life, it is necessary to establish a quantitative correlation between SP-Creep and uniaxial-creep test results. This paper presents analytical and experimental results of useful correlation between SP-Creep and uniaxial-creep properties for 9Cr1MoVNb steel at $600{\sim}650^{\circ}C$ in terms of stress(load) and activation energy during creep deformation. Especially, the activation energy obtained from SP-Creep test is linearly related to that from uniaxial-creep test at $650^{\circ}C$ as follows: $Q_{sp-p}{\fallingdotseq}1.37\;Q_{TEN},\;Q_{sp-{\sigma}}{\fallingdotseq}1.53\;Q_{TEN}$.

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도시철도 차량 차륜재의 다축 피로강도 평가 (Evaluation of Multiaxial Fatigue Strength of a Urban Railway Wheel Steel)

  • 안종곤;유인동;권석진;김호경
    • 한국안전학회지
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    • 제27권2호
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    • pp.1-6
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    • 2012
  • Uniaxial and biaxial torsional fatigue tests were conducted on the samples extracted from urban railway wheel steel. Ultimate and yield strengths of the steel were 1027.7 MPa and 626 MPa, respectively. The uniaxial fatigue limit was 422.5 MPa, corresponding 67% of the ultimate tensile strength. The ratio of ${\tau}_e/{\sigma}_e$ was 0.63. Fatigue strength coefficient and exponent were 1319.5 MPa and 0.339, respectively. Maximum principal and equivalent strain were found to be adequate parameter to predict fatigue lifetime of the steel under multiaixal fatigue condition.