• 제목/요약/키워드: Plastic flow-Rule

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절리거동의 탄소성해석에서 소성유동법칙의 역할 (The Role of the Plastic Flow Rules in the Elasto-Plastic Formulation of Joint behaviour)

  • 이연규
    • 터널과지하공간
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    • 제10권2호
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    • pp.173-179
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    • 2000
  • 절리면의 전단거동에서 나타나는 응력 및 변위의 비선형 특성을 탄소성해석에 의해 모사하는 경우 소성유동법칙이 해석결과에 미치는 영향을 검토하였다. Plesha의 절리구성모델을 적용하여 일정수직응력조건과 일정수직변위조건에서 수치직접전단시험을 실시하였다. 연상유동법칙을 적용하면 과도한 수직팽창이 예측되는 반면에 비연상유동법칙을 적용한 해석은 실제 절리거동을 잘 모사하고 있음을 보였다. 비연상유동법칙의 적용으로 강성행렬이 비대칭이 피는 단점을 보완하기 위해 비연상유동법칙을 적용하는 경우라도 요소의 접선강성행렬을 대칭화시키는 수치해석 기법이 제안되었다. 본래의 절리면과 동일한 소성변형을 일으키지만 연상유동법칙을 따르는 등가의 절리면을 가정함으로써 대칭인 탄소성행렬을 유도하였다. 일정수직음력조건에서 수티 직접전단시험을 실시하여 제안된 강성행렬 대칭화 기법의 유효성을 검증하였다.

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입자가 균일하게 분포된 복합체의 기계적 성질과 혼합률에 관한 수치적 연구 (A Numerical Investigation on the Rule of Mixtures for the Mechanical Properties of Composites with Homogeneously Distributed Particles)

  • 김형섭
    • 소성∙가공
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    • 제10권5호
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    • pp.396-401
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    • 2001
  • The concept of the mixtures can be used not only in the composites but also in the materials with precipitates and matrix. In this investigation, the finite element method of axisymmetric unit cell models and the rule of mixtures of the Voigt and the Reuss models are used to analyze the overall mechanical response of composites with homogeneously distributed particles. The calculations have been cameo out by taking the materials as i) hardening and ii) perfect plastic materials. The Plastic properties are predicted for various volume fractions of the soft and hard particles. The computational results are compared with the results of the rule of mixtures. It is found that the plastic flow curves agree well with the Voigt model when the volume fraction of the particles is high. On the other hand, the calculated flow curves exist between the Voigt model and the Reuss model when the volume fraction of the particles is low.

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등방성 손상을 고려한 탄소성 대변형 문제의 유한요소해석(제1보) -탄소성 손상 구성방정식 개발- (Finite Element Analysis of Elasto-Plastic Large Deformation considering the Isotropic Damage (the 1st Report) -Development of Elasto-Plastic Damage Constitutive Model-)

  • 노인식
    • 한국해양공학회지
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    • 제14권2호
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    • pp.70-75
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    • 2000
  • In this paper a new constitutive model for ductile materials was proposed. This model can describe the material degradation due to the evolution of isotropic damage during elasto-platic deformation. The plastic flow rule was derived under the framework of thermodynamic approach of continuum damage mechanics(CDM) in which plastic strain hardening parameters and isotropic damage were taken as thermodynamic state variables. And the process to determine material constants for constitutive model using an experimental data was presented.

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3차원 솔리드요소 및 비상관 소성흐름 법칙을 이용한 콘크리트의 응력해석 (3-D Concrete Model Using Non-associated Flow Rule in Dilatant-Softening Region of Multi-axial Stress State)

  • 성대정;최정호
    • 한국구조물진단유지관리공학회 논문집
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    • 제12권2호
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    • pp.193-200
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    • 2008
  • 탄-소성론에 근거한 콘크리트나 토질과 같은 재료의 파괴 포락선은 주응력을 축으로 하는 공간 좌표계상에서 인장의 등압(hydrostatic stress)축을 향해 기울어진 형태를 가지며 소성흐름이 상관소성흐름 법칙(associated flow rule)에 따라 결정될 경우 콘크리트의 거동 예측시에 과도한 체적 팽창률을 나타내게 된다. 본 논문에서는 콘크리트의 다축응력 하에서의 거동을 예측하기 위하여 비균일 경화(nonuniform hardening)를 적용한 5계수 파괴 포락선과 등압축 방향 성분의 소성 흐름을 수정하는 비상관 소성흐름 법칙(non-associated flow rule)을 사용하여 비선형 유한요소해석 프로그램을 개발하였으며 신뢰성 있는 연구자의 다축응력 실험결과와 유한요소해석 프로그램의 해석결과를 비교하였다.

Effect of the yield criterion on the strain rate and plastic work rate intensity factors in axisymmetric flow

  • Lyamina, Elena A.;Nguyen, Thanh
    • Structural Engineering and Mechanics
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    • 제58권4호
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    • pp.719-729
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    • 2016
  • The main objective of the present paper is to study the effect of the yield criterion on the magnitude of the strain rate and plastic work rate intensity factors in axisymmetric flow of isotropic incompressible rigid perfectly plastic material by means of a problem permitting a closed-form solution. The boundary value problem consisting of the axisymmetric deformation of a plastic tube is solved. The outer surface of the tube contracts. The radius of the inner surface does not change. The material of the tube obeys quite a general yield criterion and its associated flow rule. The maximum friction law is assumed at the inner surface of the tube. Therefore, the velocity field is singular near this surface. In particular, the strain rate and plastic work rate intensity factors are derived from the solution. It is shown that the strain rate intensity factor does not depend on the yield criterion but the plastic work rate intensity factor does.

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

  • 김범상;정충기
    • 한국지반공학회지:지반
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    • 제12권2호
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    • pp.95-106
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    • 1996
  • 본 연구에서는 이방성 항복경계면 이론을 토대로 하여 자연상태의 점성토가 갖는 이방적 특성과 소성적 거동을 고려한 구성모델을 개발하였다. 이 모델은 개선된 이방항복경계면 함수와 새로운 소성포텐셜 함수를 이용한 비관련 유동법칙, 이방경화법칙과 항복면 내의 소성 거동 예측을 위한 새로운 투영법칙 등의 개념을 통하여 개발하였다. 개발된 모델의 검증을 위하여 불교란 점성토에 대한 Ko 압밀과 삼축전단 시험결과들을 비교분석한 결과 본 모델은 점성토의 거동을 잘 예측하는 것으로 나타났다.

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전단보강된 철근 콘크리트 보의 3차원 거동해석 (Three-Dimensional Nonlinear Analysis of Reinforced Concrete Beam with Shear Reinforcements)

  • 주영태;정헌주;이용학
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2001년도 봄 학술발표회 논문집
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    • pp.431-436
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    • 2001
  • Lateral confining effect due to the existence of the shear reinforcements in R.C. beam is investigate in a numerical way. For the purpose, a three dimensional constitutive model of concrete is developed based on the elasto-plasticity using non-associated plastic flow rule to control the excessive inelastic dilatancy. The plastic flow direction is determined based on the associated plastic flow direction in a way to adjust the directional angle between the two normal vector components along the hydrostatic and deviatoric axis in a meridian plane in which the loading function prescribed. The current formulation is combined with the four parameter elasto-plastic triaxial concrete model recently developed. The resulting elasto-plastic triaxial concrete model predicts the fundamental behaviors of concrete under different confining levels and the 4-points flexural test of a beam with shear reinforcements, compares with the experimental results.

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Dynamic response of elasto-plastic planar arches

  • Lee, S.L.;Swaddiwudhipong, S.;Alwis, W.A.M.
    • Structural Engineering and Mechanics
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    • 제4권1호
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    • pp.9-23
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    • 1996
  • The behaviour of elasto-plastic planar arches subjected to dynamic loads in presented. The governing equations are formulated through the dynamic equations and compatibility conditions. The latter is established by applying the generalized conjugate segment analogy. Bending moments at the nodes and axial forces in the members are considered as primary variables in the elastic regime. They are supplemented by the rotations at the nodes and dislocations in the elements when plastic hinges occur. Newmark-${\beta}$ method is adopted in the time marching process. The interaction diagram of each element is treated as the yield surface for the element and the associated flow rule is enforced as plastic flow occurs. The method provides good prediction of dynamic response of elasto-plastic arches while requiring small core storage and short computer time.

탄.소성구성식에 의한 점토지반의 거동해석 (I) -Lade의 모델, 입방체 삼축시험 및 토질매개변수 결정- (A Behavior of Clayey Foundation Using Elasto-plastic Constitutive Model - On the Lade's Model, Cubical Triaxial Test and the Determination of Soil Parameters-)

  • 이문수;이광동;오재화
    • 한국농공학회지
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    • 제35권4호
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    • pp.106-118
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    • 1993
  • The purpose of this study is to develop a multireservoir water balance model which may be used to evaluate rural water demands such as agricultural water, domestic water, industrial water and livestock water and to determine effective storage of reservoir. The model was verified to compare the observed reservoir release data with the simulated reservoir release data of the existing Munsan and Dongbu reservoirs located in the Gisan rural district for 3 years('87~'89). For model application, the effective storages of existing reservoirs(Munsan & Dongbu) were evaluated for 10-year frequency drought and that of newly planned reservoirs(Kumbok & Kudong) were determined for 10-year frequency drought. In addition, the behavior of effective storages for existing reservoirs were analyzed in the case of introducing new reservoirs in the existing system.

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3D stress-fractional plasticity model for granular soil

  • Song, Shunxiang;Gao, Yufeng;Sun, Yifei
    • Geomechanics and Engineering
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    • 제17권4호
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    • pp.385-392
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    • 2019
  • The present fractional-order plasticity models for granular soil are mainly established under the triaxial compression condition, due to its difficult in analytically solving the fractional differentiation of the third stress invariant, e.g., Lode's angle. To solve this problem, a three dimensional fractional-order elastoplastic model based on the transformed stress method, which does not rely on the analytical solution of the Lode's angle, is proposed. A nonassociated plastic flow rule is derived by conducting the fractional derivative of the yielding function with respect to the stress tensor in the transformed stress space. All the model parameters can be easily determined by using laboratory test. The performance of this 3D model is then verified by simulating multi series of true triaxial test results of rockfill.