• Title/Summary/Keyword: 항복면

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A Smooth Elasto-Plastic Cap Model(I): Rate Formulation, Yield Surface Determination (연속 탄소성 캡 모델(I): 구성모델 및 항복면의 결정)

  • 서영교
    • Journal of the Korean Geotechnical Society
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    • v.17 no.3
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    • pp.15-23
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    • 2001
  • 탄소성 캡 모델의 중요한 장점은 여러 가지 다공체의 전체적인 축차 및 체적의 비선형 상호거동을 동시에 다룰 수 있음에 있다. 그러나 대부분의 캡 모델이 가진 문제점중의 하나는 세 개의 독립적인 항복면이 불연속으로 연결되어 있음으로부터 기인된다. 본 연구에서는 이러한 항복면 사이의 연결점에서의 탄소성 접선 계수는 특이점이 되고 수치해석상 잠재적인 어려움을 내재하고 있음을 나타내고 이러한 문제의 해결방안의 하나로 세 개의 항복면이 연속적으로 만나는 새로운 탄소성 캡 모델을 제시하였다. 본 논문에서는 모델의 증분형태의 구성식 및 새로운 응력을 구하기 위한 활동 항복면의 결정을 판단하는 알고리즘이 제시되었다. 동반 논문에서는 내재적인 응력적분 및 일관적인 접선계수를 유도하였고 예제계산들을 수행하였다.

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Zr-2.5%Nb 합금의 강도에 미치는 집합조직의 영향

  • 김성수;김영석;국일현
    • Proceedings of the Korean Nuclear Society Conference
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    • 1995.05b
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    • pp.629-634
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    • 1995
  • Zr-2.5 % Nb 합금 압력관에서 집합조직이 강도에 미치는 영향을 조사하여 기저면 성분(F)의 강화 효과를 분리하였으며 아울러 온도에 따른 강도의 변화를 조사하였다. As-received 압력관 재료의 상온 항복 강도는 인장 응력에 수직한 면에서 측정한 기저면 성분(F)에 대하여 $\sigma$$_{YS}$ =600 + 410 F 의 관계를, annealing 처리한 등축정 재료의 상온 항복 강도는 $\sigma$$_{YS}$ = 410 +310 F 의 관계를 따르는 것으로 나타나 기저면 성분이 주도적인 강화 효과를 갖는다는 것을 확인 할 수 있다. 따라서 Zr 합금의 항복 강도는 인장 응력에 수직한 면에서의 기저면 성분에 따라 좌우되며, Zr-2.5% Nb 압력관에서 길이 및 원주 방향에서의 항복 강도의 차이는 주로 기저면 성분의 차이 (F)에 의한 것이라고 결론지을 수 있다. $\alpha$-Zr 에서 슬립과 쌍정의 임계 전단 응력 및온도에 따른 변형 기구의 변화에 대하여 논의하였다.

Investigation of Interaction between Crystal Stress and Intergranular Misorientation using Single Crystal Yield Vertex Analysis (단결정 항복 꼭지점 분석을 이용한 입자간 방위차와 결정응력의 상호작용 조사)

  • Han, Tong-Seok
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2011.04a
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    • pp.269-272
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    • 2011
  • 새로운 재료의 개발과 사용 중인 기존재료의 손상을 판단하기 위해서 변형 중 재료 거동을 정확히 파악하는 것이 중요하다. 하지만, 대부분의 공학 재료는 다결정으로 이루어져 결정 상호작용의 규명이 복잡하여 정밀한 분석이 어렵다. 고에너지 X-ray 회절실험법을 이용한 다결정 고체 거동의 측정기법이 발전함에 따라 해석을 통한 실험법의 검증 및 추가 분석 방법에 대해서도 연구가 활발히 진행되고 있다. 본 연구에서는 특정 결정과 주변 결정 간의 결정간 방위차(intergranular misorientation)의 상호작용에 의한 결정 거동 영향을 조사하였다. 결정간 방위차를 정의하고 결정 응력 방향 변화를 단결정 항복면 꼭지점과 방향과 비교함으로써 결정간 방위차의 변화에 대한 결정 응력 변화를 분석하였다. 소성 발생이 증가함에 따라 결정 응력의 방향은 단결정 항복면 꼭지점으로 이동하지만 결정간 방위차에 의해서 응력 분포가 변화함을 정량적으로 확인하였다.

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Spudcan Design under Combined Load in Southwestern Sea of Korea (복합하중을 고려한 국내 서남해 지반에서의 Spudcan 설계)

  • Yoo, Jinkwon;Park, Duhee;Mandokhail, Saeed-ullah Jan
    • Journal of the Korean GEO-environmental Society
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    • v.17 no.10
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    • pp.13-22
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    • 2016
  • An optimized spudcan was designed for the Southwestern Sea, an area mostly comprised of sand and soft clay layers. The spudcan was designed using guidelines by SNAME, ISO, and InSafeJIP, as well as the yield surface for combined loads. The probe test method was applied to define a yield surface used in estimating spudcan stability. Numerical analyses that considered vertical, horizontal, and moment loads in Southwestern Sea resulted in a design of 8 m diameter spudcan. Additionally, the empirical equations suggested by previous studies can estimate a reasonable spudcan bearing capacity at shallow depth. Each yield surface calculated from Mohr Coulomb and Hardening soil model showed different shapes, however the yield surface also grew with increasing spudcan diameter. This yield surface is a useful reference, along with site investigation results and published guidelines, to estimate the stability of a spudcan in the Southwestern Sea.

A Constitutive Model using Anisotropic Bounding Surface Theory for Cohesive Soils (이방성 항복경계면 이론을 이용한 점성토정회원, 서울대학교 공과대학 토목공학과 조교수의 구성모델)

  • 김범상;정충기
    • Geotechnical Engineering
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    • v.12 no.2
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    • pp.95-106
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    • 1996
  • In this study, a constitutive model which can describe the anisotropic and plastic behaviors of natural cohesive soils, was developed based on anisotropic bounding surface theory. The model was fomulated by the concepts of the improved anisotropic bounding surface function, nonassociated flow rule with new plastic potential function, anisotropic hardening rule, and new mapping rule governing the plastic behavior inside bounding sutraface. Comparing with the results of Ku consolidation and triaxial shearing tests, the predictions by the proposed model agree quite well with real soil responses.

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A Study on the Development of a Stability Chart for Yield Seismic Coefficient of Soil Slope Using Limit Analysis (한계해석을 이용한 토사면의 항복지진계수 산정도표 제안 연구)

  • Choi, Sang-Ho;Kim, Jong-Min
    • Journal of the Korean Geotechnical Society
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    • v.26 no.3
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    • pp.47-57
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    • 2010
  • Yield seismic coefficient plays an important role in the estimation of permanent displacement of a soil slope subjected to earthquake using Newmark's sliding block theory. However, yield seismic coefficients currently used in practices are not mechanically rigorous since most of them are estimated using limit equilibrium methods considering equilibrium condition only. Therefore, estimation of permanent displacement of a soil slope based on existing yield seismic coefficient may cause problems. Limit analysis estimating the range of mechanically rigorous solution is thought to be effective in evaluating the validity of existing yield seismic coefficient. In this study, a simple stability chart for yield seismic coefficient useful in practices is proposed by considering various slope conditions including stability number, slope inclination, strength parameters, etc.

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.

Showing Morphological Evolution of the Strain Response Envelope of Clay with Fourier Descriptor Analysis (퓨리에 기술자를 이용한 점성토의 변형률 응답 곡선의 형상 변이 분석)

  • Kim, Taesik;Jung, Young-Hoon
    • Journal of the Korean GEO-environmental Society
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    • v.18 no.3
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    • pp.25-30
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    • 2017
  • This paper introduces a novel method to quantify the morphological evolution of the strain response envelope. The strain response envelope is defined as an image in strain increment space corresponding to the unit stress input in stress space. Based on the shape of strain response envelopes, the deformation characteristics of soils can be described using the framework of elastic-plastic theory. Fourier descriptor analysis was used to investigate the morphological characteristics of strain response envelopes. The numerical results show that when the stress input remains in the initial yield surface the Fourier descriptors remain constant. Once the stress input crosses the initial yield surface, every descriptors deals in this study change. Numerical and experimental results of this study show that clear yielding response is only found in natural block samples. Among the Fourier descriptors, the descriptor called as asymmetry is the best for detecting the yield and is minimally sensitive to the number of input stress paths.

Comprarison of Yasufuku's Single Hardening Constitutice Model and Lade's Double Hardening Constitutive Model for Compacted Weathered Granite Soil (다짐화강토에 대한 Yasufuku 의 단일항복면 구성모델과 Lade의 복합항복면 구성모델의 비교)

  • 정진섭
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.41 no.3
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    • pp.91-100
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    • 1999
  • Tow constitutive models for weathered granite soil, Yasufuku's constitutive model with a single yield surface and Lade's constitutive model with two intersectiong yield surface compared in terms of their capabilities to accurately capture the observed behavior of compacted weathered grainite soil for various stress-paths. Both the single surface and the double surface models capture the experimentally observed behavior at a variety of stress-paths with good accuracy. The double surface model may model the observed compacted weathered granite soil behavior with better accuracy for proportational loading with increasing stress, but the single surface model may model dilatancy property with better accuracy for p-constant loading with increasing stress ratio.

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J2-bounding Surface Plasticity Model with Zero Elastic Region (탄성영역이 없는 J2-경계면 소성모델)

  • Shin, Hosung;Oh, Seboong;Kim, Jae-min
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.43 no.4
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    • pp.469-476
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    • 2023
  • Soil plasticity models for cyclic and dynamic loads are essential in non-linear numerical analysis of geotechnical structures. While a single yield surface model shows a linear behavior for cyclic loads, J2-bounding surface plasticity model with zero elastic region can effectively simulate a nonlinearity of the ground response with the same material properties. The radius of the yield surface inside the boundary surface converged to 0 to make the elastic region disappear, and plastic hardening modulus and dilatancy define plastic strain increment. This paper presents the stress-strain incremental equation of the developed model, and derives plastic hardening modulus for the hyperbolic model. The comparative analyses of the triaxial compression test and the shallow foundation under the cyclic load can show stable numerical convergence, consistency with the theoretical solution, and hysteresis behavior. In addition, plastic hardening modulus for the modified hyperbolic function is presented, and a methodology to estimate model variables conforming 1D equivalent linear model is proposed for numerical modeling of the multi-dimensional behavior of the ground.