• Title/Summary/Keyword: 塑性포텐셜

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Anisotropy due to Texture Development in FCC Polycrystals (FCC 다결정재의 집합조직 발전에 따른 이방성의 변화)

  • Kim, Eung-Zu;Lee, Yong-Shin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.5
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    • pp.1516-1523
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    • 1996
  • The present study is concerned with the development of anisotropy and deformation texture in polycrystals. The individual grain in an aggregate is assumed to experience the viscoplastic dedformation with crystallographic slip that unsure uniquenessof the active slip systems and shearing rate onthese systems. Two different methods for updating the grain orientation are examined. Texture development for some deformation modes such as plane strain compression, uniaxial tension and simple shear are found. Changes in anisotropic flow potential due to texture development during large deformation are also given. Anisotropic behavior of polycrystals with defferent textures are examined.

Three-dimensional Finite Element Studies of the Behavior of Short Pile Subjected to Lateral Load near a Sandy Slope (모래사면에 설치된 수평하중을 받는 짧은 말뚝의 거동에 관한 3차원 탄소성 유한요소해석)

  • ;Ugai Keizo;Wakai Akihiko
    • Journal of the Korean Geotechnical Society
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    • v.17 no.3
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    • pp.41-50
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    • 2001
  • 본 연구는 모래사면의 언덕근처에 설치된 짧은 말뚝의 수평하중의 영향에 관한 것이다. 3차원 탄소성 유한요소법해석과 실내 모형실험의 결과를 비교하였다. 경사 30$^{\circ}$의 사면에 시공된 짧은 말뚝의 특성을 파악하기 위해, 사면언덕에서 모형말뚝까지의 거리를 3종류로 상이하게 하여, 모형실험을 실시하였다. 사용된 모래의 지반특성은 배수조건하의 삼축압축실험으로 결정하였다. 동시에 3차원 탄소성 유한요소법에 의한 수치해석결과와 모형실험결과를 비교하였다. 본 유한요소법의 해석에 있어서 모래지반을 탄성완전소성모델(Elastic-perfectly plastic model)로 가정하여, 파괴기준으로 Mohr-Coulomb 식과 소성 포텐셜에 대해서는 Drucker-Prager 식을 적용한 MC-DP 모델로 하였다. 이러한 MC-DP 모델의 구성식은 유한요소법에서 있어 계산치의 수렴에 유익하다. 3차원 탄소성 유한요소법에 의한 수치해석이 사질토 사면의 언덕 부근에 설치된 단하의 수평거동에 대한 파악에 유효하다는 것을 확인하였다.

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Elasto-Plastic Anisotropic-Damage Model for Concrete (콘크리트의 탄-소성 이방성-손상 모델)

  • 이기성;송하원
    • Computational Structural Engineering
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    • v.9 no.1
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    • pp.65-76
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    • 1996
  • The initiation and growth of microcracks or microvoids inside concrete results in the progressive degradation of concrete. This damage processing along processing along with plastic deformation is main cause of nonlinear behavior of concrete. In this study, a continuum damage model of concrete is developed for the analysis of the nonlinear behavior of concrete due to damage and elasto-plastic deformation. Anisotropic damage tensor is used to describe the anisotropy of concrete and hypothesis of equivalent elastic energy is used to define the effective elastic tensor. The damage model including the damage evolution law and constitutive equation is derived with damage variable and damage surface which is defined by damage energy release rate by using the Helmholtz free energy and dissipation potential based on the thermodynamic principles. By adopting a typical plasticity model of concrete, plasticity of concrete is included to this model. Afinite element analysis program implemented with this model was developed and finite element analysis was performed for the analyses of concrete subjected to uniaxial and biaxial loadings. Comparison of the results of analysis with those of experiments and other models shows that the model successfully predicts the nonlinear behavior of concrete.

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An Elasto-Plastic Constitutive Law for Modeling the Shear Behavior of Rough Rock Joints (거친 절리면의 전단거동 해석을 위한 탄소성 구성법칙)

  • 이연규;이정인
    • Tunnel and Underground Space
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    • v.8 no.3
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    • pp.234-248
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    • 1998
  • This paper presents a new constitutive model for numerical modeling the shear behaviour of rough rock joints. The model incorporates the dilatancy of joints on the basis of elasto-plastic theory. Barton's empirical shear strength formular are adopted in the formulation process. The mobilized JRC concept is evoked to address the shear strength hardening and sofrening phenomena. The mobilized JRC in the pre- and post-peak range is approximated by assuming that the variation of JRC is a function of tangential plastic work. Discrete finite joint element is used to implement the proposed constitutive model. The model is validated by the numerical direct shear test on a single joint which is subjected to different boundary conditions. The test results are in good agreement with the experimental observations reported by other authors. The numerical tests also exhibit that the proposed model can simulate the salient features envisaged in the behaviour of rough rock joints.

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Characteristics of Soil Parameter for Lade's Single Work-Hardening Constitutive Model with Relative Density of Bottom ash (석탄회의 상대밀도에 따른 Lade 단일항복면 구성모델의 토질매개변수 특성)

  • Kim, Chan-Kee;Lee, Jong-Cheon
    • Journal of the Korean Geosynthetics Society
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    • v.12 no.4
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    • pp.87-98
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    • 2013
  • This study was performed a series of the isotropic compression-expansion tests and the drained triaxial tests with various the relative densities 40%, 60%, 80% and 95% for bottom ash. Using the tests results the characteristic of the parameters of Lade's single hardening constitutive model were investigated. The soil parameters Kur and n representing elastic behavior are not much affected by the change of the relative density. The other parameters such as failure criterion(m, ${\eta}_1$), hardening function(c, p) and plastic potential(${\psi}_2$, ${\mu}$) are in a positive linear relationship with the relative density. Since the soil parameters h and ${\alpha}$ representing yield function do not change much to the change of relative density and also closely related to failure criterion, they can be replaced by failure criterion ${\eta}_1$. We also observed that predicted values from the Lade's single hardening constitutive model were well consistent with the observed data.

A Prediction of Undrained Shear Behavior of the Remolded Weathered Mudstone Soil Using the Constitutive Model (구성모델을 이용한 재성형 이암풍화토의 비배수 전단거동 예측)

  • Lee Sang-Woong;Choo In-Sig;Kim Young-Su;Kim Ki-Young
    • Journal of the Korean Geotechnical Society
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    • v.21 no.4
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    • pp.31-40
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    • 2005
  • This study proposed a new yield function considering the spacing ratio of the critical state to predict the undrained shear behavior of anisotropic field ground. We have suggested a nonassociated constitutive model that used a newly modified plastic potential function in order to apply the yield function of the modified Cam-Clay model to the anisotropic consolidation. In this paper, we predicted undrained shear behavior of the remolded weathered mudstone soils in Phohang isotorpically and anisotropically consolidated using the suggested model. To evaluate the reliability of proposed model, we predictied undrained shear behavior of Bankok Clay isotropically, nomally consolidated and Drammen Clay Ko consolidated. The predicted results are consistent with the observed behavior.

Characteristics of Soil Parameter for Lade's Single Work-Hardening Constitutive Model with Dry Density of Pocheon Granite Soil (포천 화강토의 건조단위중량에 따른 Lade의 단일항복면 구성모델의 토질매개변수 특성)

  • Cho, Won-Beom;Kim, Chan-Kee
    • Journal of the Korean Geosynthetics Society
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    • v.10 no.4
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    • pp.29-36
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    • 2011
  • In this study, a series of the isotropic compression-expansion tests and the drained triaxial tests were performed on Pocheon granite soil with various the dry densities of $16.67kN/m^3$, $17.26kN/m^3$ and $17.65kN/m^3$. Using the tests results the characteristic of the parameters of Lade's single hardening constitutive model were investigated. The soil parameters such as kur and n related to elastic behavior, m and ${\eta}_1$ related to failure criterion, c and p related to hardening function and ${\psi}_2$ and ${\mu}$ related to plastic potential show in a positive linear relationship with the dry density. Since the soil parameters h and representing yield function do not change much to relative density and also are closely related to failure criterion, they can be replaced by failure criterion. We also observed that predicted values from the Lade's single hardening constitutive model were well consistent with the observed data.

A Study on 1-Butene Oxidation over Vanadium Oxide Electrode (바나듐산화물 전극상에서 1-부텐의 산화반응 연구)

  • Park, Seungdoo;Lee, Hag-Young;Hong, Suk-In
    • Applied Chemistry for Engineering
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    • v.9 no.4
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    • pp.523-528
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    • 1998
  • The electrochemical characteristics of $V_2O_5$ as working electrode were studied in the cell (1-butene+$O_2$, $V_2O_5{\mid}YSZ{\mid}Ag$, $O_2$) with a YSZ solid electrolyte. The sintering of Ag as a counter electrode was occurred after calcination, and the structure which has the pores of over $3{\mu}m$ was achieved. In particular, the peak of (010) plane of the working electrode on the XRD spectrum which is responsible for selective oxidation appeared after calcination. The major product of 1-butene oxidation over $V_2O_5$ was butadiene. The technique of SEP (solid electrolyte potentiometry) was used to monitor the chemical potential of chemical species adsorbed on the working electrode. Over a wide range of gas compositions of 1-butene and oxygen, open circuit voltage (OCV) exhibited the mixed potential of surface oxygen activity.

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Characteristics of Soil Parameter for Lade's Single Work-Hardening Constitutive Model with Relative Density of Baekma River Sands (백마강 모래의 상대밀도에 따른 Lade의 단일항복면 구성모델의 토질매개변수 특성)

  • Cho, Won-Beom;Kim, Chan-Kee;Kim, Joong-Chul
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.31 no.1C
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    • pp.11-17
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    • 2011
  • This study was performed a series of the isotropic compression-expansion tests and the drained triaxial tests with various the relative densities 25%, 50%, 80% and 100% for Baekma river sand. Using the tests results the characteristic of the parameters of Lade's single hardening constitutive model were investigated. The soil parameters Kur and n representing elastic behavior are not much affected by the change of the relative density. The other parameters such as failure criterion (m, ${\eta}_1$), hardening function (C, p) and plastic potential (${\Psi}_2$, ${\mu}$) are in a positive linear relationship with the relative density. Since the soil parameters h and $\alpha$ representing yield function do not change much to the change of relative density and also closely related to failure criterion, they can be replaced by failure criterion ${\eta}_1$. We also observed that predicted values from the Lade's single hardening constitutive model were well consistent with the observed data.

Contimuum Damage Model of Concrete using Hypothesis of Equivalent Elastic Energy (등가탄성에너지법에 의한 콘크리트의 연속체 손상모델)

  • 이기성;변근주;송하원
    • Magazine of the Korea Concrete Institute
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    • v.7 no.5
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    • pp.172-178
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    • 1995
  • Concrete contains numerous microcracks at initially poured. The growth and propagation of nicrockacsk are believed tc finally incur the faiure of concrete. These processings are understood as a damage. Damage IS represented as a second-order tensor and crack is treated as a con tinuum phenomenon. In this paper, damage is characterized through the effective stress concept together with the hypothesis of elastic energy equivalence, and damage evolution law and constitutive equation of a damage model are derived by using the Helmholtz frte eriergy and the dissipation potential by means of the thermodynamic principles. The constitutive equation of the model includes the effects of elasticity, anisotropic damage and plasticity of concrete. There are two effective tangent stiffness tensors in this model : one is for elastic-darnage and the other for plastic damage. For the verification of the model, finite element analysis was performed for the analysis of concrete subjec:t to uniaxial and biaxial loading and the results obtained were compared with test results.