• 한국농공학회논문집
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• 제48권7호
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• pp.45-52
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• 2006

A cyclic viscoelastic-viscoplastic constitutive model for clay is incorporated into an effective stress based seismic response analysis to describe viscous effect of clay layer to sand layer during earthquake. The seismic response against main shock of 1995 Hyogoken Nambu Earthquake is analyzed in the present study. Acceleration responses in both clay layer and just upper liquefiable sand layer are damped due to viscous effect of clay. A cyclic viscoelastic-viscoplastic constitutive model for clay was implemented into a FEM code, and $Newmark{\beta}$ method was employed for the time discretization in the finite element formulation. Seismic responses were simulated by numerical method with recorded data at Port Island, Kobe, Japan. As results of this study, it was found that a cyclic viscoelastic-viscoplastic constitutive model can give good description of dynamic behavior characteristics including viscoelastic effect.

• International Journal of Concrete Structures and Materials
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• 제2권2호
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• pp.123-136
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• 2008

A new plastic-damage constitutive model applicable to lightweight concrete (LWC) and normal weight concrete (NWC) is proposed in this paper based on both continuum damage mechanics and plasticity theories. Two damage variables are used to represent tensile and compressive damage independently. The effective stress is computed in the Drucker-Prager multi-surface plasticity framework. The stress is then computed by multiplication of the damaged part and the effective part. The proposed model is coded as a user material subroutine and incorporated in a finite element analysis software. The constitutive integration algorithm is implemented by adopting the operator split involving elastic predictor, plastic corrector and damage corrector. The numerical study shows that the algorithm is efficient and robust in the finite element analysis. Experimental investigation is conducted to verify the proposed model involving both static and dynamic tests. The very good agreement between the numerical results and experimental results demonstrates the capability of the proposed model to capture the behaviors of LWC and NWC structures for static and impact loading.

• 소성∙가공
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• 제33권1호
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• pp.18-35
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• 2024

In the present work, the evolution rules for the internal variables including continuum damage factors are obtained using the thermodynamic framework, which are in turn facilitated to derive the elastic-plastic constitutive relation for the particulate composites. Using the Mori-Tanaka scheme, the homogenization on state and internal variables such as back-stress and damage factors is carried out to procure the rate independent plasticity relations. Moreover, the degradation of mechanical properties of constituents is depicted by the distinctive damages such that the phase and interfacial damages are treated individually accordingly, whereas the kinematic hardening is depicted by combining the Armstrong-Frederick and Phillips' back-stress evolutions. On the other hand, the present constitutive relation for each phase is expressed in terms of the respective damage-free effective quantities, then, followed by transformation into the damage affected overall nominal relations using the aforementioned homogenization concentration factors. An emphasis is placed on the qualitative analyses for strain localization by observing the perturbation growth instead of the conventional bifurcation analyses. It turns out that the proposed constitutive model offers a wide range of strain localization behavior depending on the evolution of various internal variable descriptions.

• 한국지반공학회논문집
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• 제21권8호
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• pp.27-35
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• 2005

액상화에 따른 지반의 과도한 변형으로 인한 피해가 자주 발생되고 있다. 그에 따른 지반의 움직임을 예측하기 위해서는 유효응력 개념에 기초한 수치해석 기법이 요구되어 진다. 본 연구에서는 지진 및 유사한 반복 하중에 따른 수압의 상승을 예측할 수 있는 연성(fully coupled) 유효응력 구성모델인 UBCSAND를 제안하였다. 제안된 모델은 간단한 완전탄소성모델인 Mohr-Coulomb을 변형한 형태로 마찰각(friction angle)과 팽창각(dilation angle)을 점진적으로 증가시킴으로써, 기존의 파괴상태내에서도 연속적인 소성변형 발생을 표현할 수 있다. 항복함수는 전단응력과 평균응력의 비인 $(\sigma'_1-\sigma'_3)/(\sigma'_1-\sigma'_3)$로 나타내며, 응력도의 원점에서 시작하는 무한개의 방사선을 의미한다. 따라서, Mohr-Coulomb의 파괴면과 같은 형태의 무수한 항복면을 가진다. 소성 경화법칙은 등방경화(isotropic hardening)와 이동경화(kinematic hardening)를 혼합한 형태를 이루고 있다. 재하(loading) 및 재재하(reloading)시에는 연속적인 소성 변형이 일어나나, 제하(unloading)시에는 탄성변형을 가정하였다. 제안된 모델은 느슨한 Fraser River 모래를 이용한 직접단순전단시험(Direct simple shear test)결과와 비교하여 검증하였다.

• Structural Engineering and Mechanics
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• 제18권1호
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• pp.21-40
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• 2004

In this paper, we modify the L-L model (Li et al. 2003) and extend the application of this model to concrete confined by both steel reinforcement and CFRP. Thirty-six concrete cylinders with a dimension of ${\varphi}30{\times}60$ cm were tested to verify the effectiveness of the proposed model. The experimental test results show that different types of steel reinforcement have a great effect on the compressive strength of concrete cylinders confined by steel reinforcement, but the different types of steel reinforcement have very little effect on concrete cylinders confined by both steel reinforcement and CFRP. Compared with the stress-strain curves of confined concrete cylinders, we can conclude that the proposed model can provide more effective prediction than others models.

• 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.

• 대한토목학회논문집
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• 제28권4C호
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• pp.221-230
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• 2008

캐나다 서부 밴쿠버 지역의 Fraser강 바닥의 사질토 지반에 위치한 George Massey 침매터널이 지진 시에 어떻게 거동하는 지를 연구하였다. 지진으로 발생하는 간극수압을 계산할 수 있는 유효응력모델인 UBCSAND모델을 이용하여 지진하중으로 인한 지반의 변위와 침매터널의 거동을 예측하였으며, 이를 미국 Rensselaer Polytechnic Institute(RPI)에서 실시한 원심모형실험 결과와 비교하였다. 본 연구에서 해석한 George Massey 침매터널의 원심모형실험은 2개의 모델로 구성되었으며, Model 1은 기본 모델로서 원상태 지반을, Model 2는 다짐공법으로 지반개량을 실시한 지반을 모델링하였다. 원심모형실험 Model 1에서 설계지진으로 인한 주변 지반의 액상화로 모형터널의 변위가 크게 발생하였다. Model 2에서 다짐공법으로 터널 주변 지반을 개량하였을 때 모형터널의 수직 및 수평 변위는 Model 1보다 50% 정도 감소하였다. UBCSAND모델은 원심모형실험에서 계측된 과잉간극수압, 가속도, 변위를 비교적 잘 예측할 수 있었다. 이와 같이 검증된 수치해석방법은 유사한 지반에 설치된 침매터널의 지진 시 변위와 거동을 예측할 수 있으며, 액상화에 대한 지반개량공법과 개량범위를 체적화할 수 있을 것으로 판단된다.

• 한국지반공학회:학술대회논문집
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• 한국지반공학회 2000년도 가을 학술발표회 논문집
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• pp.201-208
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• 2000

In this study, the behavior of saturated sandy soils under dynamic loads - pore water pressure and effective stress - was investigated using Disturbed State Concept(DSC) model. The model parameters are evaluated from laboratory test data. During the process of loading and reverse loading, DSC model is utilized to trace strain-hardening and cyclic softening behavior. The procedure of back prediction proposed in this study are verified by comparing with laboratory test results. From the back prediction of pore water pressure and effective mean pressure under cyclic loading, excess pore water pressure increases up to initial effective confining pressure and effective mean pressure decrease close to zero in good greement with laboratory test results. Those results represent the liquefaction of saturated sandy soils under dynamic loads. The number of cycles at initial liquefaction using the model prediction is in good agreement with laboratory test results. Therefore, the results of this study state that the liquefaction of saturated sandy soils can be explained by the effective tress analysis.

• 콘크리트학회지
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• 제7권5호
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• pp.172-178
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• 1995

콘크리트는 타설시부터 수많은 미세균열을 가지고 있으며, 이러한 미세균열등이 성장하고 전파되어 결국에는 콘크리트가 파괴된다. 이러한 일련의 과정을 손상이라 한다. 손상은 주로 2차 텐서로 표현되며 균열은 연속체적 현상으로 취급된다. 본 논문에서는 손상의 특성을 유효응력개념과 함께 등가탄성에너지법을 이용하여 나타내었으며, Helmholtz 자유에너지와 소산 포텐셜을 이용하여 손상모델의 손상전개와 구성방정식을 유도하였다. 구성방정식은 콘크리트의 탄성, 이방성 손상과 소성의 영향을 포함하도록 하였다. 두 가지 형태의 유효접선강성텐를 사용하였는데, 하나는 탄성-손상의 영향에 의한 것이며 다른 하나는 소성-손상의 영향에 의한 것이다. 모델을 검증하기 위하여 일축과 이축의 하중을 받는 콘크리트 요소에 대하여 유한요소해석을 하였으며 그 결과를 실험결과와 비교하였다.

• Geomechanics and Engineering
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• 제38권2호
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• pp.157-164
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• 2024

This paper describes the general trends of the stress-strain behavior of Korean weathered soil prior to failure and behavior at failure under triaxial loading. The isotropically consolidated samples were tested in a testing device under monotonic undrained loading. Relative density, effective mean pressure and fine content were the factors varied in the experimental investigation. The test results were analyzed and their behaviors were interpreted within the framework of plasticity constitutive model for a weathered Korean silty sand. Possible physical bases for the proposed forms are discussed. Validation of the applied model using the laboratory results is also given.