• Title/Summary/Keyword: 응력변형률함수

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Analytical Study on Characteristics of von Mises Yield Criterion under Plane Strain Condition (평면변형률상태에서의 von Mises 항복기준의 특성에 관한 이론적 연구)

  • Lee, Seung-Hyun;Kim, Byoung-Il
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.16 no.9
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    • pp.6391-6396
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    • 2015
  • In order to investigate characteristics of the von Mises yield criterion under 2 dimensional stress condition, two cases of plane strain were studied. One of which was for zero elastic strain and the other was for zero plastic strain increment. Yield functions for the plane strain condition for zero elastic strain and for the plane stress condition were represented as ellipse and the two yield functions were compared by ratios of major axis, minor axis and eccentricity and it was seen that the ratio of minor axis was the same between the two cases and the ratios of major axis and eccentricity were functions of Poisson's ratio. Region of elastic behavior obtained from considering plane strain condition of zero elastic strain increases as the Poisson's ratio increases. Yield function for plane strain obtained from considering zero plastic increment and associate flow rule was displayed as straight line and the region of elastic behavior was greater than that for the case of plane stress.

Numerical Analysis Method of Overlay Model for Material Nonlinearity Considering Strain Hardening (변형률 경화를 고려한 오버레이 모델의 재료비선형 수치해석기법)

  • Baek, Ki Youl
    • Journal of Korean Society of Steel Construction
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    • v.19 no.3
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    • pp.291-301
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    • 2007
  • The overlay model is a certain kinds of numerical analysis method to present the material non-lineariy which is represented the baushinger effect and the strain hardening. This model simulates the complex behavior of material by controlling the properties of the layers which like the hardening ratio, the section area and the yield stress. In this paper, the constitutive equation and plastic flow rule of each layer which are laid in the plane stress field are obtained by using the thermodynamics. Two numerical examples were tested for the validity of proposed method in uniaxial stress and plane stress field with comparable experimental results. The only parameter for the test is the yield stress distribution of each layers.

Material Model and Thermal Response Analysis of Concrete at Elevated Temperatures (고온에서의 콘크리트 재료모델과 열거동해석)

  • 강석원;홍성걸
    • Journal of the Korea Concrete Institute
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    • v.13 no.3
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    • pp.268-276
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    • 2001
  • A numerical model for the thermal response analysis of concrete structures is suggested. The model includes the stress-strain relationship, constitutive relationship, and multiaxial failure criteria at elevated temperature conditions. Modified Saenz's model was used to describe the stress-strain relationship at high temperatures. Concrete subjected to elevated temperatures undergoes rapid strain increase and dimensional instability. In order to explain those changes in mechanical properties, a constitutive model of concrete subjected to elevated temperature is proposed. The model consists of four strain components; free thermal creep strain, stress-induced (mechanical) strain, thermal creep strain, and transient strain due to moisture effects. The failure model employs modified Drucker-Prager model in order to describe the temperature dependent multiaxial failure criteria. Some numerical analyses are performed and compared with the experimental results to verify the proposed model. According to the comparison, the suggested material model gives reliable analytical results.

Determination of Strain Energy Function of Rubber Materials Considering Stress Softening Behavior (응력연화거동을 고려한 고무 재료의 변형률 에너지 함수 결정)

  • Kim, W.S.;Hong, S.I.
    • Elastomers and Composites
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    • v.42 no.3
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    • pp.168-176
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    • 2007
  • When the rubber vulcanizates reinforced with carbon black or silica are subjected to cyclic loading from its virgin state, the stress required on reloading is less than that on the initial loading. This stress softening phenomenon is referred to as the Mullins effect. The strain energy function of rubber vulcanizates was investigated using theory of pseudo-elasticity incorporated damage parameter that Ogden and Roxburgh have proposed to describe the damage-induced stress softening effect in rubber-like solids. The quasi-static cyclic loading test was performed using the NR-SBR vulcanizates reinforced with carbon black, and then the effect of a damage parameter to stress-strain curve in reloading and subsequent reloading paths was studied. The strain energy function of the rubber vulcanizates with a different filler content was also evaluated.

Reproduction of Cyclic Triaxial Behavior of Unsaturated Soil using Element Simulation (요소 시뮬레이션에 의한 불포화토의 반복삼축거동 재현)

  • Lee, Chungwon
    • Journal of the Korean GEO-environmental Society
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    • v.16 no.10
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    • pp.5-14
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    • 2015
  • Suction affects the unsaturated soil as the negative pore pressure, and leads to increases of the yield stress and the plastic shear stiffness of the soil skeleton due to the growth in interparticle stress. Hence, in this study, in order to account for these effects of suction under the dynamic loading condition such as the earthquake, the element simulation of the cyclic triaxial test using induced stress-strain relation based on cyclic elasto-plastic constitutive model extended for unsaturated soil considering the $1^{st}$ and the $2^{nd}$ yield functions was conducted. Through the stress path, stress-strain relation and relation between volumetric strain and axial strain, it was seen in all the cases that the simulation results demonstrated a good agreement with the experimental results. It is expected that the results of this study possibly contribute to the accuracy improvement on the prediction of unsaturated soil behavior under the dynamic loading condition.

A Stress-Strain Relationship of Alkali-Activated Slag Concrete (알칼리활성 슬래그 콘크리트의 응력-변형률 관계)

  • Yang, Keun-Hyeok;Song, Jin-Kyu;Lee, Kyong-Hun
    • Journal of the Korea Concrete Institute
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    • v.23 no.6
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    • pp.765-772
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    • 2011
  • The present study summarizes a series of compressive tests on concrete cylinder in order to examine the stressstrain relationship of alkali-activated (AA) slag concrete. The compressive strength and unit weight of concrete tested ranged from 8.6 MPa to 42.2 MPa and from $2,186kg/m^3$ to $2,343kg/m^3$, respectively. A mathematical equation representing the complete stress-strain curve was developed based on test results recorded from 34 concrete specimens. The modulus of elasticity, strain at peak stress, slopes of ascending and descending branches of stress-strain curves were generalized as a function of compressive strength and unit weight of concrete. The mean and standard deviation of the coefficient of variance between measured and predicted curves were 6.9% and 2.6%, respectively. This indicates that the stress-strain relationship of AA slag concrete is represented properly with more accuracy in the proposed model than in some other available models for ordinary portland cement (OPC) concrete.

Shearing Behaviors of the Soft Marine Clay in Undrained and Drained Conditions (연약해성점토의 비배수 및 배수 전단 거동)

  • 이영휘;김용준;정강복
    • Journal of the Korean Geotechnical Society
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    • v.17 no.5
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    • pp.29-36
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    • 2001
  • 한반도 남해안의 광양만에서 채취한 연약 해성점토의 물리적 및 역학적 특성을 조사하기 위한 일련의 실내시험을 수행하였다. 물리적 성질 및 압밀시험 결과의 분석에 따르면, 시험에 사용된 시료는 정규압밀점토로 나타났다. 압밀비배수 삼축시험 결과로부터 새로운 간극수압계수(C)를 제안하였고, 이 계수는 유효응력경로를 예측하기 위한 방정식에 적용되었다. 또한, 비배수조건에서 전단변형률은 오로지 응력비만의 함수라는 사실이 실험결과로부터 밝혀졌다. 따라서 비배수 조건에서의 전단변형률 계산식이 제안되었으며, 이들 관계식을 이용하여 비배수(CIU) 및 배수조건(CID)에서의 점토의 거동을 예측하기 위한 새로운 구성방정식이 제안되었다. 이 구성방정식은 Roscoe와 Poorooshasb이 제안한 증분응력-변형률 이론을 기초로 하였으며, 제안된 구성방정식을 적용하여 예측한 배수전단특성을 실측된 결과에 매우 근접하는 경향을 나타내었다.

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A Constitutive Model on the Behavior Under $K_0$ Condition for Cohesionless Soils and Optimization Method of Parameter Evaluation Based on Genetic Algorithm (사질토의 $K_0$ 조건하 거동에 대한 구성모델 및 유전자 알고리즘을 적용한 계수의 최적화 산정기법)

  • 오세붕;박현일
    • Journal of the Korean Geotechnical Society
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    • v.20 no.5
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    • pp.37-48
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    • 2004
  • This study is focused on the constitutive model in order to represent brittleness and dilatancy for cohesionless soils. The constitutive model was based on an anisotropic hardening rule derived from generalized isotropic hardening nile, which includes an appropriate hardening equation for the overall strain behavior at small to large strains. The yield surface is a simple cylinder type in stress space and it makes the model practically useful. Hence dilatancy behavior in cohesionless soils could be modeled reasonably. A peak stress ratio was defined in order to model brittle stress-strain relationships. An optimized design methodology was proposed on the basis of real-coded genetic algorithm in order to determine parameters for the proposed model systematically. The material parameters were then determined by that algorithm. In order to verify the proposed model, triaxial tests were performed under $K_0$ conditions far weathered soils. In comparison with the triaxial test results under $K_0$ conditions, the proposed model could calculate appropriately the actual effective stress behavior on brittle stress-strain relationships and dilatancy.

One-dimensional Consolidation Analysis by Estimation of Nonlinear Consolidation Coefficient (비선형 압밀계수 산정에 의한 일차원 압밀해석)

  • Lee, Song;Jeon, Je-Sung
    • Journal of the Korean Geotechnical Society
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    • v.16 no.2
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    • pp.103-113
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    • 2000
  • 기존의 Terzaghi 압밀이론은 상대적으로 연약토층이 두껍지 않고, 초기함수비가 낮으며 적은 유효응력의 증가가 예상되는 곳에 그 적용이 제한되어 있었다. 그 이유는 Therzaghi 압미이론 자체가 미소변형률과 선형적인 압축성 및 투수성등을 기본적인 가정사항으로 내포하고 있기 때문이다. 이러한 가정사항을 극복하고자 Gibson et al. 은 일차원 비선형 유한 변형률 압밀이론에 관한 엄밀해를 제시하였다. 이 이론은 기존의 많은 가정사항들을 극복하여 실제 현상에 더욱 부합하는 예측을 할 수 있는 장점이 있는 반면, 비선형적인 응력-변형 관계, 변형-투수계수 관계의 도입과 좌표변환 및 현장의 시고이력을 그대로 적용하는데 많은 어려움이 있는 것이 사실이다. 본 연구에서는 이러한 비선형 유한형태를 압밀이론을 이용한 압밀현상 예측을 위하여, 비선형적인 응력-변형 관계, 변형-투수계수 관계에 관한 함수식을 구성하고 이를 포함하는 컴퓨터 프로그램을 개발하였다. 개발 프로그램은 많은 폼과 모듈로 구성되어 있는데, 이러한 각각의 폼과 모듈은 GUI 기능의 극대화를 통해 복잡한 이론에 익숙하지 않은 실무자들이 쉽게 본 이론을 이용할 수 있도록 설계 되었다. 또한 개발프로그램은 다양한 하중단계 및 비선형적인 응력-변형 관계, 변형-투수계수 관계에 관한 회귀분석, 각 유효응력 단계별 상이한 비선형 계수 g와 λ를 적용할 수 있으며, 계산을 위한 전처리과정은 물론 계산된 결과를 위한 다양한 후처리과정이 모두 사용자 위주의 GUI 기능을 충분히 갖도록 설계되었다. 개발 프로그램의 검증을 위하여 실제 현장의 계측자료 및 기존 연구문헌상의 결과와 본 개발 프로그램의 예측결과를 비교.분석하였으며, 다양한 간극비 상태의 비선형 계수가 해석결과에 미치는 영향을 알아보았다.

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Cracking Analysis of RC Tension Members Using Polynomial Strain Distribution Function (다항식 변형률 분포함수를 이용한 철근콘크리트 인장부재의 균열 해석)

  • 곽효경;송종영;김한수
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.15 no.1
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    • pp.69-84
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    • 2002
  • In this papers, an analytical model which can simulate the post-cracking behavior and tension stiffening effect in a reinforced concrete(RC) tension member is proposed. Unlike the classical approaches using the bond stress-slip relationship or the assumed bond stress distribution, the tension stiffening effect at post-cracking stage is quantified on the basis of polynomial strain distribution functions of steel and concrete, and its contribution is implemented into the reinforcing steel. The introduced model can be effectively used in constructing the stress-strain curve of concrete at post-cracking stage, and the loads carried by concrete and reinforcing steel along the member axis can be directly evaluated on the basis of the introduced model. In advance, the prediction of cracking loads and elongations of reinforced steel using the introduced model shows good agreement with results from the previous analytical studies and experimental data.