• Title/Summary/Keyword: 응력-변형률 모델

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Stress-Strain Responses of Concrete Confined by FRP Composites (FRP 합성재료에 의하여 구속된 콘크리트의 응력-변형률 응답 예측)

  • Cho, Soon-Ho
    • Journal of the Korea Concrete Institute
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    • v.19 no.6
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    • pp.803-810
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    • 2007
  • An analytical method capable of predicting various stress-strain responses in axially loaded concrete confined with FRP (fiber reinforced polymers) composites in a rational manner is presented. Its underlying idea is that the volumetric expansion due to progressive microcracking in mechanically loaded concrete is an important measure of the extent of damage in the material microstructure, and can be utilized to estimate the load-carrying capacity of concrete by considering the corresponding accumulated damage. Following from this, an elastic modulus expressed as a function of area strain and concrete porosity, the energy-balance equation relating the dilating concrete to the confining device interactively, the varying confining pressure, and an incremental calculation algorithm are included in the solution procedure. The proposed method enables the evaluation of lateral strains consecutively according to the related mechanical model and the energy-balance equation, rather than using an empirically derived equation for Poisson's ratio or dilation rate as in other analytical methods. Several existing analytical methods that can predict the overall response were also examined and discussed, particularly focusing on the way of considering the volumetric expansion. The results predicted by the proposed and Samaan's bilinear equation models correlated with observed results with a reasonable degree, however it can be judged that the latter is not capable of predicting the response of lateral strains correctly due to incorporating the initial Poisson's ratio and the final converged dilation rate only. Further, the proposed method seems to have greater benefits in other applications by the use of the fundamental principles of mechanics.

Compressive Stress Distribution of Concrete for Performance-Based Design Code (성능 중심 설계기준을 위한 콘크리트 압축응력 분포)

  • Lee, Jae-Hoon;Lim, Kang-Sup;Hwang, Do-Kyu
    • Journal of the Korea Concrete Institute
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    • v.23 no.3
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    • pp.365-376
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    • 2011
  • The current Concrete Structural Design Code (2007) prescribe the equivalent rectangular stress block of the ACI 318 Building Code as concrete compressive stress distribution for design of concrete structures. The rectangular stress block may be enough for flexural strength calculation, but realistic stress-strain relationship is required for performance verification at selected limit state in performance-based design. Moreover, the ACI rectangular stress block provides non-conservative flexural strength for high strength concrete columns. Therefore a new stress distribution model is required for development of performance-based design code. This paper proposes a concrete compressive stress-strain distribution model for design and performance verification. The proposed model has a parabolic-rectangular shape, which is adopted by Eurocode 2 and Japanese Code (JSCE). It was developed by investigation of experimental test results conducted by the authors and other researchers. The test results cover high strength concrete as well as normal strength concrete. The stress distribution parameters of the proposed models are compared to those of the ACI 318 Building Code, Eurocode 2, Japanese Code (JSCE) and Canadian Code (CSA) as well as the test results.

Experimental Validation of the Radial Mapping Rule in Bounding Surface Plasticity Model (경계면 소성 모델의 방사 사상 법칙에 대한 실험적 검토)

  • Jung, Young-Hoon;Lee, Ju-Hyung
    • Journal of the Korean Geotechnical Society
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    • v.29 no.1
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    • pp.171-181
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    • 2013
  • The radial mapping rule in bounding surface model was experimentally investigated by analyzing the drained stress probe tests on Chicago clays. The experimental data obtained from 10 drained stress probe paths were analyzed to calculate the directions of the plastic strain increments. The anisotropic bounding surface model was adopted to represent a bounding yield surface which resides in the pre-consolidation yield stress of undisturbed clays. The projection origins were estimated by finding the interceptions of the straight lines passing through the current stress point and the imaginary yield stress point on the bounding surface. The results show that the projection origin is not fixed at a point but moves toward the direction of the stress probe path after it is established around the initial stress point.

Theoretical Investigation on the Stress-Strain Relationship for the Porous Shape Memory Alloy (기공을 갖는 형상기억합금의 응력 및 변형률 관계에 대한 이론적 고찰)

  • Lee Jae-Kon;Yum Young-Jin;Choi Sung-Bae
    • Composites Research
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    • v.17 no.6
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    • pp.8-13
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    • 2004
  • A new three-dimensional model fur stress-strain relation of a porous shape memory alloy has been proposed, where Eshelby's equivalent inclusion method with Mori-Tanaka's mean field theory is used. The predicted stress-strain relations by the present model are compared and show good agreements with the experimental results for the Ni-Ti shape memory alloy with porosity of 12%. Unlike linear stress-strain relations during phase transformations by other models from the literature, the present model shows nonlinear stress-strain relation in the vicinity of martensite finish region.

Nonlinear Analysis of CFT Truss Girder with the Arch-shaped Lower Chord (아치형상의 하현재를 갖는 CFT 트러스 거더의 재료 비선형 해석)

  • Song, Na-Young;Choung, Chul-Hun;Kim, Young-Jin
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.29 no.6A
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    • pp.625-639
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    • 2009
  • Experimental and analytical studies are performed on the mechanical behavior of concrete-filled tubular(CFT) truss girders for different f/L ratios. Bending tests are conducted on two CFT truss girder specimens to determine fundamental structural characteristics such as the strength and deformation properties. Nonlinear material models for CFT members subjected to an axial compressive force are compared in this paper by using the nonlinear finite element program, ABAQUS. Previous researchers have proposed several nonlinear stress-strain models of confined concrete. In this study, the nonlinear analyses are performed applying several stress-strain models for confined concrete proposed by Mander, Sakino, Han, Susantha and Ellobody, and the results are compared with the experimental results in terms of load-deflection and load-strain relationships. Based on the comparisons of the load-deflection relationships, the models proposed by Mander and Susantha provide a maximum load about 12.0~13.8% higher and that by Sakino gives a maximum load about 7.6% higher than the experimental results. The models proposed by Han and Ellobody give a maximum load only about 0.2~1.2% higher than the test results, showing the best agreement among the proposed stress-strain models. However, the load-strain relations predicted by the existing models generally provide conservative results exhibiting larger strains than the experimental data.

Instrumented Indentation Technique: New Nondestructive Measurement Technique for Flow Stress-Strain and Residual Stress of Metallic Materials (계장화 압입시험: 금속재료의 유동 응력-변형률과 잔류응력 평가를 위한 신 비파괴 측정 기술)

  • Lee, Kyung-Woo;Choi, Min-Jae;Kim, Ju-Young;Kim, Kwang-Ho;Kwon, Dong-Il
    • Journal of the Korean Society for Nondestructive Testing
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    • v.26 no.5
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    • pp.306-314
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    • 2006
  • Instrumented indentation technique is a new way to evaluate nondestructive such mechanical properties as flow properties, residual stress and fracture toughness by analyzing indentation load-depth curves. This study evaluated quantitatively the flow properties of steels and residual stress of weldments. First, flow properties can be evaluated by defining a representative stress and strain from analysis of deformation behavior beneath the rigid spherical indenter and the parameters obtained from instrumented indentation tests. For estimating residual stress, the deviatoric-stress part of the residual stress affects the indentation load-depth curve, so that by analyzing the difference between the residual-stress-induced indentation curve and residual-stress-free curve, the quantitative residual stress of the target region can be evaluated. The algorithm for flow property evaluation was verified by comparison with uniaxial tensile test and the residual stress evaluation model was compared to mechanical cutting and ED-XRD results.

Elasto-Plasticity of Granular Micro-Structures (미소구조에서의 탄소성모델)

  • Park Jae-gyun
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.18 no.4 s.70
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    • pp.453-458
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    • 2005
  • This study deals with elasto-plasticity of granular micro-structures which recovers continuum elasto-plasticity in its counterpart. The theory is based on doublet mechanics that assumes particles of finite size and connecting linear springs, and it makes extensions to plasticity. The result shows that the micro model has one to one relationship with the continuum model in the simplest case. Micro-strain and micro-stress of two dimensional plane stress problem were calculated, which shows the behavior of the specimen and verifies the effectiveness of this model.

An Anisotropic Hardening Constitutive Model for Dilatancy of Cohesionless Soils : I. Formulation (사질토의 체적팽창을 고려한 비등방경화 구성모델 : I. 정식화)

  • 오세붕;박현일;권오균
    • Journal of the Korean Geotechnical Society
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    • v.20 no.6
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    • pp.75-83
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    • 2004
  • This study is focused on the constitutive model in order to represent brittleness and dilatancy of cohesionless soils. The constitutive model was proposed on the basis of an anisotropic hardening rule with generalized isotropic hardening rule. The shape of yield surface is a simple cylinder type in stress space and it makes the model practically useful. Flow rule was approximated by a concrete function on dilatancy. A peak stress ratio was defined to model brittle stress-strain relationships. The proposed model was formulated and implemented to calculate the stress-strain relationship from triaxial tests. In the companion paper the proposed model will be verified by comparison with the triaxial test results.

Nonlinear FE Analysis of RC Shear Walls (철근콘크리트 전단벽의 비선형 유한요소해석)

  • 곽효경;김도연
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.3
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    • pp.293-308
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    • 1999
  • 이 논문에서는 패널, 깊은 보 그리고 전단벽과 같이 평면응력상태하에 있는 철근콘크리트 구조물의 비선형 유한요소해석에 있어서의 직교이방성 콘크리트 구성 모델의 적용성을 보여준다. 등가의 일축 변형을 개념을 토대로 콘크리트의 구성 관계가 주변형률 축과 일치하고 하중이력에 따라 회전하는 직교하는 축에 대해 제시된다. 제안된 모델은 이축 압축응력상태와 인장-압축 응력상태에서 각각 압축강도의 증가와 인장 저항력의 감소효과를 보여주는 이축 파괴영역의 정의를 포함한다. 인장균열이 발생한 후, 콘크리트의 압축강도의 감소효과가 제시되고, 인장강화효과로 알려진 철근에 의해 지지되는 콘크리트의 인장응력이 고려된다. 평균응력과 평균변형률 개념을 사용하여 힘의 평형, 적합조건 그리고 철근과 철근을 둘러싼 콘크리트 사이의 부착응력-슬림 관계를 토대로 인장강화효과를 모사하기 위한 모델이 제안된다. 유한요소 모델에 의한 예측은 유용한 실험자료와의 비교에 의해 입증된다. 이 논문에서는 해석결과와 이상화한 전단 패널실험으로부터 얻어진 실험값의 비교연구가 수행되고, 제안된 모델의 타당성을 보여주기 위해 서로 다른 응력상태하의 전단 패널 보와 벽체의 힘-변위 관계를 평가하였다.

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Determination of Flow Stress of Zircaloy-4 Under High Strain Rate Using Slot Milling Test (슬롯밀링시험을 이용한 높은 변형률 속도 조건하에서 Zircaloy-4의 유동응력 결정)

  • Hwang, Jihoon;Kim, Naksoo;Lee, Hyungyil;Kim, Dongchoul
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.37 no.1
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    • pp.67-75
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    • 2013
  • The flow stress of zircaloy-4 used in the spacer grid supporting a nuclear fuel rod was determined by the Johnson-Cook model, and model parameters were determined using reverse engineering. Parameters such as A, B, n and $\dot{\varepsilon}_0$ were determined by the tensile test result. To obtain the parameters C and m, a slot milling test and numerical simulation were performed. The objective functions were defined as the difference between the experimental and the simulation results, and then, the parameters were determined by minimizing the objective function. To verify the validity of the determined parameters, cross-verification for each case was conducted through a shearing test and simulation. The results tend to show agreement with the experimental results, such as the features of sheared edges and maximum punch force, with the correlation coefficients exceeding at least 0.97.