• Title/Summary/Keyword: Elasto-plastic model

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Constitutive Model for Unsaturated Soils Based on the Effective Stress (유효응력에 근거한 불포화토의 역학적 구성모델)

  • Shin, Ho-Sung
    • Journal of the Korean Geotechnical Society
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    • v.27 no.11
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    • pp.55-69
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    • 2011
  • The importance of unsaturated state in various geo-engineering problems has led to the advance of mechanical constitutive model emulating behavior of unsaturated soils in response to thermo-hydro-mechanical loading. Elasto-plastic mechanical constitutive model for unsaturated soil is formulated based on Bishop's effective stress. Effective stress and temperature are main variables in constitutive equation, and incremental formulation of constitutive relationship is derived to compute stress update and stiffness tensor. Numerical simulations involving coupled THM processes are conducted to discuss numerical stability and applicability of developed constitutive model: one-dimensional test, tri-axial compression test, and clay-buffering at high level radioactive waste disposal. Numerical results demonstrated that developed model can predict very complex behavior of coupled THM phenomena and is applicable to geo-engineering problems under various environmental conditions, as well as interpret typical behavior of unsaturated soils.

Stability Analysis for Jointed Rock Slope Using Ubiquitous Joint Model (편재절리모델을 이용한 절리 암반 사면의 안정성 해석)

  • 박연준;유광호
    • Tunnel and Underground Space
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    • v.8 no.4
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    • pp.287-295
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    • 1998
  • Limit equilibrium method is widely used for the stability analysis of soil slopes. In jointed rock slopes however, the failure of the slope is largely dependent upon the strength and deformability of the joints in the rock mass and quite often failure occurs along the joints. This paper describes the use of ubiquitous joint model for the stability analysis of the jointed rock slopes. This model is essentially an anisotropic elasto-plastic model and can simulate two sets of joint in arbitrary orientations. Validation of the developed with the factor of safety equal to unity was selected when the shape of the failure plane is assumed log spiral. Then the factor of safety of the rock slope having two perpendicular joint sets was calculated while rotating joint orientations. Rusults were compared with limit equilibrium solutions on soil slopes having equivalent soil properties when plane sliding was assumed. Developed model predicted the factor of safety of jointed rock slope in a reasonable accuracy when joint spacing is sufficiently small.

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Modeling and Analysis of Size-Dependent Structural Problems by Using Low-Order Finite Elements with Strain Gradient Plasticity (변형률 구배 소성 저차 유한요소에 의한 크기 의존 구조 문제의 모델링 및 해석)

  • Park, Moon-Shik;Suh, Yeong-Sung;Song, Seung
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.35 no.9
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    • pp.1041-1050
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    • 2011
  • An elasto-plastic finite element method using the theory of strain gradient plasticity is proposed to evaluate the size dependency of structural plasticity that occurs when the configuration size decreases to micron scale. For this method, we suggest a low-order plane and three-dimensional displacement-based elements, eliminating the need for a high order, many degrees of freedom, a mixed element, or super elements, which have been considered necessary in previous researches. The proposed method can be performed in the framework of nonlinear incremental analysis in which plastic strains are calculated and averaged at nodes. These strains are then interpolated and differentiated for gradient calculation. We adopted a strain-gradient-hardening constitutive equation from the Taylor dislocation model, which requires the plastic strain gradient. The developed finite elements are tested numerically on the basis of typical size-effect problems such as micro-bending, micro-torsion, and micro-voids. With respect to the strain gradient plasticity, i.e., the size effects, the results obtained by using the proposed method, which are simple in their calculation, are in good agreement with the experimental results cited in previously published papers.

Mechanical Constitutive Model for Frozen Soil (동토지반에 대한 역학적 구성모델)

  • Shin, Ho-Sung;Kim, Ji-Min;Lee, Jang-Guen;Lee, Seung-Rae
    • Journal of the Korean Geotechnical Society
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    • v.28 no.5
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    • pp.85-94
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    • 2012
  • Recently, growing interests in frozen ground have stimulated us to advance fundamental theories and systematic researches on soil behavior under freezing conditions. Unlike the well-established soil mechanics theory, temperature variation and phase change of pore-water cause water migration to cold side, ground heaving, sharp increase in earth pressure, etc., which bring about serious problems in frozen geotechnical structures. Elasto-plastic mechanical constitutive model for frozen/unfrozen soil subjected to fully coupled THM phenomena is formulated based on a new stress variable that is continuous in frozen-unfrozen transitional regions. Numerical simulations are conducted to discuss numerical reliability and applicability of the developed constitutive model: one-dimensional heaving pressure, tri-axial compression test, and one-side freezing tests. The numerical results show that developed model can efficiently describe complex THM phenomena of frozen soil, and they can be utilized to analyze and design the geotechnical structures under freezing conditions, and predict their long-term behavior.

Evaluation of Lateral Load Resistance Capacity of a High-rise Shear Wall Apartment Based on Elasto-plastic Analaysis (정적 탄소성 해석에 의한 고층 벽식 아파트의 수평내력 검토)

  • 전대한;강호근;조한욱;이정원
    • Journal of the Earthquake Engineering Society of Korea
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    • v.2 no.4
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    • pp.31-40
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    • 1998
  • The purpose of this study is to investigate static elastoplastic behaviour and estimate ultimate resistance capacity of a high-rise apartment shear wall system subjected to a vertical distribution of lateral loading along the height. A typical 25-story two unit plan apartment is selected as a representive model. For the analysis, the pushover analysis is adopted to estimate initial elastic stiffness, post-yielding stiffness and story shear yield resistance level on each story of the structure through three-dimensional nonlinear analysis program-CANNY. In the result of elastoplastic analysis, it is observed that the yield strength of building structures is 1.6 times larger than required lateral design strength.

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A study on the liquefaction analysis using the large deformation theory (대변형 이론을 이용한 액상화 해석에 관한 연구)

  • Moon, Yong;Lee, Kang-Il;Kim, Tae-Hoon;Im, Eun-Sang;Lee, Yong-Hee
    • Proceedings of the Korean Geotechical Society Conference
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    • 2006.03a
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    • pp.1348-1357
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    • 2006
  • For the rational aseismatic design of a structure constructed on the ground which has weakness for liquefaction or flow, it is necessary to predict ground deformation as well as force acting on the ground. In general, the prediction of liquefaction is based on solid mechanics while the prediction of flow is basis of fluid mechanics. Since liquefaction and flow occur continuously, unified analysis methods have been developed. Among of them is Rue-elasto plastic model that is based on small deformation theory. This methods, however, is not adequate for such a large deformable ground condition. In this paper, a large deformaion theory using the finite deformation theory proposed by Dietal and the updated lagrangian method is presented. In addition, the applicability of the theory is verified by 1-d consolidation analysis and flow tests.

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Effect of the Residual Excess Pore Water Pressure on the Slope Stability Subjected to Earthquake Motion (잔류 과잉공극수압이 지진 하중을 받는 사면의 안정에 미치는 영향)

  • Lee, Jun-Dae;Kwon, Young-Cheul;Bae, Woo-Seok
    • Journal of the Korean Society of Safety
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    • v.21 no.2 s.74
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    • pp.107-113
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    • 2006
  • Earthquake motion is one of the most significant influence factors on the slope stability. In this paper, an effective stress analysis with the elasto-plastic model was carried out to investigate the behavior of the slope stability subjected to the successive two strong earthquake motions, fore and main shock. The major influence of fore shock to the slope stability was considered as the existence of the residual excess pore water pressure. The paper presents the influence of the existence of the fore shock to slope stability using the numerical analyses. In conclusion, the excess pore pressure by the fore shock was not dissipated during the 7hrs of consolidation. By this residual excess pore water pressure, the factor of safety at the sliding face showed the minimum values, and the deformations of slope was large when compared with the case that considered the main shock only. Furthermore, the minimum of the factor of safety came out after the end of the earthquake motion.

Stress Distribution of Buried Concrete Pipe Under Various Environmental Conditions

  • Lee, Janggeun;Kang, Jae Mo;Ban, Hoki;Moon, Changyeul
    • Journal of the Korean GEO-environmental Society
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    • v.17 no.12
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    • pp.65-72
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    • 2016
  • There are numerous factors that affect stress distribution in a buried pipe, such as the shape, size, and stiffness of the pipe, its burial depth, and the stiffness of the surrounding soil. In addition, the pipe can benefit from the soil arching effect to some extent, through which the overburden and surcharge pressure at the crown can be carried by the adjacent soil. As a result, the buried pipe needs to support only a portion of the load that is not transferred to the adjacent soil. This paper presents numerical efforts to investigate the stress distribution in the buried concrete pipe under various environmental conditions. To that end, a nonlinear elasto-plastic model for backfill materials was implemented into finite element software by a user-defined subroutine (user material, or UMAT) to more precisely analyze the soil behavior surrounding a buried concrete pipe subjected to surface loading. In addition, three different backfill materials with a native soil were selected to examine the material-specific stress distribution in pipe. The environmental conditions considering in this study the loading effect and void effects were investigated using finite element method. The simulation results provide information on how the pressures are redistributed, and how the buried concrete pipe behaves under various environmental conditions.

The Ultimate Strength Analysis of CHS Tubular Joints by Finite Element Method (유한요소법에 의한 원통형 연결부의 극한강도 해석)

  • 옥재호;우광성;신영식
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1998.10a
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    • pp.43-50
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    • 1998
  • The current design equations for ultimate strength of tubular joints are based on a limited number of experimental results performed on simple joints with simple loading conditions and depend on value of the branch to the chord diameter- ratio $\beta$ too much. Therefore, the purpose of this study is to estimate the ultimate strength of CHS tilbular joints considering the effects of branch inclination angles $\theta$, chord length to diametel ratio $\alpha$ and chord end conditions by finite element analysis. The analyses are performed using finite element software ADINA that is capable of modeling elasto-plastic material behavior as well as geometric nonlinearities. The results show that the current use of sin $\theta$ in normalized design equations for inclined branches is reasonable, but somewhat conservative. When compared with the previous experimental database, the close numerical results are obtained from the parametric studies on the static strength of T-, Y-, DT- and X-joints. Also, a new design equation for ultimate stregth of CHS tubular joints is derived using a modified version of the ring model which can include the effects of $\alpha$ and chord end condtion.

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Study on lateral resistance of steel-concrete composite drilled shafts by using 3D FEM (3차원 유한요소법을 이용한 강관합성 말뚝재료의 수평저항력 고찰)

  • Lee, Ju-Hyung;Shin, Hyu-Soung;Choi, Sang-Ho;Park, Jae-Hyun;Chung, Moon-Kyung;Kwak, Ki-Seok
    • Proceedings of the Korean Geotechical Society Conference
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    • 2008.10a
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    • pp.683-690
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    • 2008
  • Steel-concrete composite columns are popular for superstructures of bridges, and the outside steel attached to the shaft increases the shaft resistance due to confining concrete. In this study, lateral resistance of steel-concrete composite drilled shafts was evaluated quantitatively based on numerical analysis when steel casings are used as structural elements like composite columns. Ultimate lateral resistance of composite drilled shafts with various diameters was numerically calculated through 3D finite element analysis. For that, elasto-plastic model with perfectly plasticity is involved to capture the ultimate load. A commercial FEM program, MIDAS-GTS, is used in this study. Real field conditions of the West Coast, Korea were considered to set up the ground conditions and pile lengths required for this parametric studies. Detailed characteristics of the stress and displacement distributions are evaluated for better understanding the mechanisms of the composite shaft behavior.

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