• Computers and Concrete
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• 제8권6호
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• pp.735-755
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• 2011

The capability of a multi-directional fixed smeared crack constitutive model to simulate the flexural/punching failure modes of fiber reinforced concrete (FRC) laminar structures is discussed. The constitutive model is implemented in a computer program based on the finite element method, where the FRC laminar structures were simulated according to the Reissner-Mindlin shell theory. The shell is discretized into layers for the simulation of the membrane, bending and out-of-plane shear nonlinear behavior. A stress-strain softening diagram is proposed to reproduce, after crack initiation, the evolution of the normal crack component. The in-plane shear crack component is obtained using the concept of shear retention factor, defined by a crack-strain dependent law. To capture the punching failure mode, a softening diagram is proposed to simulate the decrease of the out-of-plane shear stress components with the increase of the corresponding shear strain components, after crack initiation. With this relatively simple approach, accurate predictions of the behavior of FRC structures failing in bending and in shear can be obtained. To assess the predictive performance of the model, a punching experimental test of a module of a façade panel fabricated with steel fiber reinforced self-compacting concrete is numerically simulated. The influence of some parameters defining the softening diagrams is discussed.

• 한국지반공학회:학술대회논문집
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• 한국지반공학회 2004년도 춘계학술발표회
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• pp.121-128
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• 2004

A constiutive model was proposed in order to model dilatancy under $K_0$ conditions. The model includes an anisotropic hardening rule with bounding surface and hypothetical peak stress ratio and dilatancy function which are dependent on a state parameter. The triaxial stress-strain relationship under $K_0$ conditions was calculated reasonably by the proposed model. In particular the model could consistently predict dilatancy in volume change, softening with peak strength and small strain behavior.

• 지질공학
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• 제23권3호
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• pp.247-256
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• 2013

중동지역의 Sabkha층 탄산질 모래는 낮은 전단강도를 나타내며, 입자파쇄시 내부공극의 외부노출로 인한 즉시침하와 파쇄입자의 재배열로 인한 시간 의존적 이차침하가 발생된다. 현장 대형기초에 의한 Sabkha층의 침하특성을 분석하기 위하여 Hydrotest를 수행하였고, 실내시험 결과와 비교하였다. 삼축압축시험 결과 일차입자파쇄의 정도에 따라 Sabkha층 GL-1.5 m에서 Strain-hardening, GL-7.0 m에서 Strain-perfect, GL-7.5 m에서 Strain-softening 형태의 응력-변형 거동이 나타났다. 일반적으로 전반전단파괴는 입자가 조밀하고 지반의 강도가 큰 경우 발생하나 Sabkha층 탄산질 모래에서는 Strain-softening 거동 발생시 Strain-hardening과 Strain-perfect 거동에 비하여 오히려 입자파쇄 강도가 작아지는 현상이 발생하였다. 이러한 응력-변형 특성은 상대밀도 증가시 전단강도가 증가하는 석영질 모래의 특성과는 상이한 것이다. 현장 Hydrotest시 입자파쇄의 영향으로 간극수압 소산 후에도 지속적인 이차압축침하가 발생되었으며, 입자파쇄응력이 상대적으로 작고 Strain-softening 거동, 혹은 Strain-perfect 거동을 나타낸 하부 Sabkha층의 입자파쇄가 기초침하에 지배적인 영향을 미친 것으로 판단된다.

• 소성∙가공
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• 제30권3호
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• pp.134-141
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• 2021

In order to improve excessive spring-back behavior as a result of the roll forming process using ultra high strength steel (UHSS) sheet, local softening in region of a partial area expected to be deformed on an initial blank is considered in this study. With SPFC1470 UHSS sheet with initial blank thickness of 1.20mm, the local softening is performed with the following conditions: temperatures of 500℃, 550℃, 600℃ and 650℃, and holding time of 20s, 40s, 80s and 160s. Mechanical properties, such as yield stress and tensile strength, as well as elongation, are evaluated through uniaxial tensile tests, while the microstructural characteristics as a result of local softening are also investigated using the heat-treated specimens. As a result, it is shown that the spring-back behavior of the roll-formed prototype was reduced about by 78.9%, when the local softening at about 500℃ was performed for 160s considering the practical manufacturing condition.

• Structural Engineering and Mechanics
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• 제2권1호
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• pp.35-48
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• 1994

A plasticity-based concrete model is proposed. The failure surface is elliptic in the ${\sigma}-{\tau}$ stress space. Independent hardening as well as softening is assumed in tension, compression, and shear. The nonlinear inelastic action initiates from the origin in the ${\sigma}-{\varepsilon}$(${\tau}-{\gamma}$) diagram. Several parameters are incorporated to control hardening/softening regions. The model is incorporated into a nonlinear finite element program along with other classical models. Several examples are solved and the results are compared with experimental data and other failure criteria. "Reasonable results" and stable solutions are obtained for different types of reinforced concrete oriented structures.

• 한국세라믹학회지
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• 제33권5호
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• pp.602-615
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• 1996

The purpose of the present study is to investigate the microstructural effect on the R-curve behavior in three aluminas with different grain size distributions by analyzing the bridging stress distribution. The crack opening displacement (COD) according to the distance behind the stationary crack tip was measured using an in situ SEM fracture method. The measured COD values in the fine-grained alumina agreed well with Wiederhorn's sollution while they deviated from Wiederhorn's solution in the two coarse-grained aluminas because of the increase of the crack closure due to the grain interface bridging in the crack wake. A numerical fitting procedure was conducted by the introduction of the power-law relation and the current theoretical model together with the measured COD's in order to obtain the bridging stress distribution. The results indicated that the bridging stress function and the R-curve computed by the current model were consistent with those computed by the power-law relation providing a reliable evidence for the bridging stress analysis of the current model. The strain-softening exponent in the power-law relation n, was calculated to be in the range from 2 to 3 and was closely related to the grain size distribution. Thus it was concluded from the current theoretical model that the grain size distribution affected greatly the bridging stress distribution thereby resulting in the quantitative analysis of microfracture of polycrystalline aluminas through correlating the local-fracture-cont-rolling microstructure.

• 콘크리트학회논문집
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• 제14권1호
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• pp.58-66
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• 2002

본 연구의 목적은 유효탄성균열모델과 점성균열모델의 개념에 기초한 임계응력확대계수, 임계균열단개구변위와 파괴에너지, 이선형 연화 곡선같은 콘크리트의 파괴특성들을 초기재령 콘크리트에 관해 구명하는 것이다. 이를 위해 모드 I의 파괴를 일으킬 수 있는 쐐기쪼갬시험이 노치가 있는 육각형의 쐐기 시험체에 대하여 수행되었다. 강도와 재령의 변화에 따라 하중-균열입구변위 곡선이 얻어졌으며, 이것은 선형탄성 파괴역학과 유한요소법에 의해 분석되었다. 실험 결과를 분석한 결과, 재령 1일부터 재령 28일까지의 임계응력확대계수와 파괴에너지는 증가하였으며, 임계균열단개구변위는 감소하였다. 또한 수치해석을 통하여 재령 1일부터 재령 28일까지의 이선형 연화 곡선의 네 파라미터를 구할 수 있었다. 이렇게 얻어진 초개재령 콘크리트의 파괴특성치와 이선형 연화 곡선은 초기재령 콘크리트의 파괴 기준과 유한요소해석시의 입력 상수로서 사용될 수 있을 것이다.

• 지질공학
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• 제32권1호
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• pp.1-12
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• 2022

Based on the extended spatial mobilization plane (SMP) criterion, we present an elastic-brittle-plastic solution for an axisymmetric cylindrical tunnel. The influences of the intermediate principal compressive stress and material strain-softening behavior are considered. Closed-form formulas for the critical support force, radius of plastic zone, and distributions of stress and displacement in surrounding rock are proposed. The elastic-plastic solution based on SMP is compared with the Kastner solution to verify the credibility of the obtained elastic-plastic solution. The elastic-brittle-plastic solution following the SMP criterion and the current solution based on the Mohr-Coulomb criterion are also compared. The rock strain-softening rate and the intermediate principal stress affect the stability of the surrounding rock. The results provide guidance for optimizing the design of support systems for tunnels.

• 콘크리트학회논문집
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• 제22권3호
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• pp.427-435
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• 2010

인장 균열은 콘크리트의 가장 취약한 특성으로 수화열 및 건조수축 등으로 인해 초기재령에서 발생되는 경우가 많다. 초기의 균열을 정확히 예측하기 위해서는 응력-균열 개구 관계가 시간에 따라 어떻게 변화하는 지를 파악해야 한다. 이 연구에서는 기존에 수행되었던 쐐기형 쪼갬 실험결과에 대한 역해석을 수행하였으며, 측정된 하중-균열 개구 변위를 최적으로 모사하는 응력-균열 개구 관계에 대한 쌍선형 연화곡선을 구하였다. 파괴에너지의 시간에 따른 변화에 관한 분석이 이루어졌으며, 분석 결과를 바탕으로 초기재령에서의 응력-균열 개구 관계에 대한 모델을 제안하였다. 최대 하중, 최대 하중에서의 균열 개구 변위, 파괴에너지에 대하여 실험 측정값, 역해석 결과, 모델로부터 계산된 결과들을 비교해 보았으며, 이를 통해 제안된 모델을 검증하였다.

• Geomechanics and Engineering
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• 제8권6호
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• pp.769-781
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• 2015

The skin friction of a pile foundation is important and essential for its design and analysis. More attention has been given to the softening behaviour of skin friction of a pile. In this study, to investigate the load-transfer mechanism in such a case, an analytical solution using a nonlinear softening model was derived. Subsequently, a load test on the pile was performed to verify the newly developed analytical solution. The comparison between the analytical solution and test results showed a good agreement in terms of the axial force of the pile and the stress-strain relationship of the pile-soil interface. The softening behaviour of the skin friction can be simulated well when the pile is subjected to large loads; however, such behaviour is generally ignored by most existing analytical solutions. Finally, the effects of the initial shear modulus and the ratio of the residual skin friction to peak skin friction on the load-settlement curve of a pile were investigated by a parametric analysis.