• Title/Summary/Keyword: Viscoplastic behavior

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Finite Element Analysis with Viscoplastic Formulation in Open-Die RTP Process (개방형 RTP(Rapid Thermal Pressing)공정의 점소성 유한요소해석)

  • Son J. W.;Rhim S. H.;Oh S. I.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2004.10a
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    • pp.284-289
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    • 2004
  • Since polymer materials at elevated temperatures are usually rate-sensitive, the analysis of RTP process requires considering the effect of the rate-dependent. The material behavior that exhibits rate-sensitivity is called visco-plastic. A two-dimensional visco-plastic finite element formulation which constitutive equation is based on the formulation proposed by Perzyna is presented. This Paper is purposed to calcuate pressure distribution on PMMA in compression process and to predict the relationship with defects after demolding process. This paper analyzes, both analytically and numerically, the pressure distributions on the surface of PMMA during open-die RTP process. In this research, PMMA is used to be simulated at $110^{\circ}C$ near the transition temperature.

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Numerical Analyses on Consolidation Promotion Effect of Soft Clay Ground by Prefabricated Vertical Drain (PVD에 의한 연약점토지반의 압밀촉진효과에 대한 수치해석)

  • You, Seung-Kyong
    • Journal of the Korean Geosynthetics Society
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    • v.8 no.1
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    • pp.19-24
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    • 2009
  • In this paper, a series of numerical analyses on soft clay ground improved by PVD were carried out, in order to investigate the consolidation promotion effect considering PVD width and surcharge pressure. In the numerical analyses, an elasto-viscoplastic three-dimensional consolidation finite element method was applied, in which the applicability of numerical analyses could be confirmed comparing with consolidation behavior simulated at the laboratory. And, through the results of the numerical analyses, consolidation behaviors of soft clay ground with elapsed time was elucidated, together with the effects of PVD width and surcharge pressure.

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Earing Predictions in the Deep-Drawing Process of Planar Anisotropic Sheet-Metal (평면 이방성 박판 딥드로잉 공정의 귀발생 예측)

  • 이승열;금영탁;정관수;박진무
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1994.03a
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    • pp.118-128
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    • 1994
  • The planar anisotropic FEM analysis for predicting the earing profiles and draw-in amounts in the deep-drawing processes is introduced. An implicit, incremental, updated Lagrangian formulation with a rigid-viscoplastic constitutive equation is employed. Contact and friction are considered through the mesh-based unit vectors and the normal contact pressure. the consistent full set of governing relations, comprising equilibrium and geometric constraint equations, is appropriately linearized. Barlat's strain-rate potential is employed, whose in-plane anisotropic properties are taken into account with anisotropic coefficients and potential parameter. The linear triangular membrane elements are used for depicting the formed sheet. with the numerical simulations of deep drawing processes of flat-top cylindrical cup for the 2090-T3 aluminum effects on the earing behavior are examined. Earing predictions made for the 2090-T3 aluminum alloy sheet show good agreement with experiments, although some discrepancies were observed in the directional trend of cup height and thickness strains.

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An inverse determination method for strain rate and temperature dependent constitutive model of elastoplastic materials

  • Li, Xin;Zhang, Chao;Wu, Zhangming
    • Structural Engineering and Mechanics
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    • v.80 no.5
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    • pp.539-551
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    • 2021
  • With the continuous increase of computational capacity, more and more complex nonlinear elastoplastic constitutive models were developed to study the mechanical behavior of elastoplastic materials. These constitutive models generally contain a large amount of physical and phenomenological parameters, which often require a large amount of computational costs to determine. In this paper, an inverse parameter determination method is proposed to identify the constitutive parameters of elastoplastic materials, with the consideration of both strain rate effect and temperature effect. To carry out an efficient design, a hybrid optimization algorithm that combines the genetic algorithm and the Nelder-Mead simplex algorithm is proposed and developed. The proposed inverse method was employed to determine the parameters for an elasto-viscoplastic constitutive model and Johnson-cook model, which demonstrates the capability of this method in considering strain rate and temperature effect, simultaneously. This hybrid optimization algorithm shows a better accuracy and efficiency than using a single algorithm. Finally, the predictability analysis using partial experimental data is completed to further demonstrate the feasibility of the proposed method.

Finite Element Analysis of Creep Crack Growth Behavior Including Primary Creep Rate (1차 크리프 속도를 고려한 크리프 균열 진전의 유한요소 해석)

  • Choi, Hyeon-Chang
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.23 no.7 s.166
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    • pp.1120-1128
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    • 1999
  • An elastic-viscoplastic finite element analysis is performed to investigate detailed growth behavior of creep cracks and the numerical results are compared with experimental results. In Cr-Mo steel stress fields obtained from the crack growth method by mesh translation were compared with both cases that the secondary creep rate is only used as creep material property and the primary creep rate is included. Analytical stress fields, Riedel-Rice(RR) field, Hart-Hui-Riedel(HR) field and Prime(named in here) field, and the results obtained by numerical method were evaluated in details. Time vs. stress at crack tip was showed and crack tip stress fields were plotted. These results were compared with analytical stress fields. There is no difference of stress distribution at remote region between the case of 1st creep rate+2nd creep rate and the case of 2nd creep rate only. In case of slow velocity of crack growth, the effect of 1st creep rate is larger than the one of fast crack growth rate. Stress fields at crack tip region we, in order, Prime field, HR field and RR field from crack tip.

3-Dimensional Consolidation Analysis Considering Viscosity on Soft Clay Ground improved by Plastic Board Drain (점성을 고려한 PBD 타설 연약점토지반의 3차원 압밀해석)

  • You, Seung-Kyong;Han, Jung-Gun;Jo, Sung-Min;Kim, Ji-Yong
    • Journal of the Korean Geosynthetics Society
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    • v.4 no.4
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    • pp.39-46
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    • 2005
  • A series of numerical analyses on soft clay ground improved by plastic board drain(PBD) were carried out, in order to investigate the consolidation behavior considering viscosity of the improved ground. The applicability of numerical analyses, in which an elasto-viscoplastic three-dimensional consolidation finite element method is applied in this study, was confirmed through comparison between experimental and analytical results. As the analytical results, consolidation behavior of both settlement and excess pore pressure and effective stress in clay were elucidated. Then secondary consolidation characteristics of improved ground were estimated through compare with results of typical one-dimensional consolidation analysis.

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Implementation of Polycrystal Model in Rigid Plastic Finite Element Method (강소성 유한요소법에서의 다결정 모델의 구현)

  • Kang, G.P.;Lee, K.;Kim, Y.H.;Shin, K.S.
    • Transactions of Materials Processing
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    • v.26 no.5
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    • pp.286-292
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    • 2017
  • Magnesium alloy shows strong anisotropy and asymmetric behavior in tension and compression curve, especially at room temperature. These characteristics limit the application of finite element method (FEM) which is based on conventional continuum mechanics. To accurately predict the material behavior of magnesium alloy at microstructural level, a methodology of fully coupled multiscale simulation is presented and a crystal plasticity model as a constitutive equation in the simulation of metal forming process is introduced in this study. The existing constitutive equation for rigid plastic FEM is modified to accommodate deviatoric stress component and its derivatives with respect to strain rate components. Viscoplastic self-consistent (VPSC) polycrystal model was selected as a constitutive model because it was regarded as the most robust model compared to Taylor model or Sachs model. Stiffness matrix and load vector were derived based on the new approach and implemented into $DEFORM^{TM}-3D$ via a user subroutine handling stiffness matrix at an elemental level. The application to extrusion and rolling process of pure magnesium is presented in this study to assess the validity of the proposed multiscale process.

Study on the Method of Determining Equivalent Circle of Band-shaped Prefabricated Vertical Drains (판상 연직배수재의 유효 등가경 결정 방법에 관한 연구)

  • You, Seung-Kyong;Oda, Kazuhiro
    • Journal of the Korean Geotechnical Society
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    • v.24 no.6
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    • pp.95-100
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    • 2008
  • In the design of ground improvement using band-shaped prefabricated vertical drains (PVD), it is required to determine a reasonable equivalent circle of PVDs. In this paper, a series of numerical analyses on soft clay ground improved by PVD were carried out in order to investigate the resonable equivalent circle of PVD considering consolidation behavior of improved soft clay ground by PVD. The applicability of numerical analyses, in which an elasto-viscoplastic three-dimensional consolidation finite element method was applied, could be confirmed comparing with consolidation behavior simulated at the laboratory. And, through the results of the numerical analyses, consolidation behaviors of soft clay ground with elapsed time were elucidated, together with the equivalent circle of PVD considering consolidation behaviors.

Dynamic Characteristics of Reinforced concrete axisymmetric shell with shape imperfection (형상불완전을 갖는 철근 콘크리트 축대칭 쉘의 동적 특성)

  • 조진구
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.42 no.5
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    • pp.151-159
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    • 2000
  • Dynamic loading of structures often causes excursions of stresses will into the inelastic range and the influence of geometry changes on the response is also significant in may cases. In general , the shell structures designed according to quasi-Static analysis may collapse under condition of dynamic loading. Therefore, for a more realistic prediction on the lad carrying capacity of these shell. both material and geometric nonlinear effects should be considered. In this study , the material nonlinearity effect on the dynamic response is formulated by the elasto-viscoplastic model highly corresponding to the real behavior of the material. Also, the geometrically nonlinear behavior is taken into account using a Total Lagrangian formulation. the reinforcing bars are modeled by the equivalent steel layer at the location of reinforcements, and Von Mises yield criteria is adopted for the steel layer behavior. Also, Drucker-Prager yield criteria is applied for the behavior of concrete. the shape imperfection of dome is assumed as 'dimple type' which can be expressed Wd1=Wd0(1-(r-a)m)n while the shape imperfection of wall is assumed as sinusoidal curve which is Wwi =Wwo sin(n $\pi$y/l). In numerical test, three cases of shape imperfection of 0.0 -5.0cm(opposite direction to loading ; inner shape imperfection)and 5cm (direction to loading : outward shape imperfection) and thickness of steel layer determined by steel ratio of 0,3, and 5% were analyzed. The effect of shape imperfection and steel ratio and behavior characteristics of perfect shape shell and imperfect shape shell are identified through analysis of above mentioned numerical test. Dynamic behaviors of dome and wall according toe combination of shape imperfection and steel ratio are also discussed in this paper.

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A Behaviour Analysis on Clayey Ground and Steel Sheet Piles Subjected to Unsymmetrical Surcharges (편재하중을 받는 점토지반과 강널말뚝의 거동해석)

  • Lee, Moon Soo;Lee, Byoung Koo;Jeong, Jin Seob;Kim, Chan Kee
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.4
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    • pp.977-988
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    • 1994
  • In this paper, the comparisons between field measurments and numerical results ware performed for the settlements, lateral displacement in Jinwol interchange works on the Honam express way whose site was improved by sand drain for the constructions of over bridges, piers and abutments. The computer program was developed by coupling Biot's equation with Sekiguchi's elasto-viscoplastic model under plane strain conditions. Steel pipe piles for piers were replaced into the equivalent steel sheet pile wall. The characteristics of behavior for both the soil foundations and the sheet piles wall were investigated with the variation of axial force on the wall, rigidity of the wall, supported condition of sheet pile into hard strata and the location of anchored point.

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