• Title/Summary/Keyword: Viscoplastic Analysis

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Analysis of Material Response Based on Chaboche Unified Viscoplastic Constitutive Equation; (CHABOCHE 통합 점소성 구성방정식을 이용한 재료거동해석)

  • Kwak, D.Y.;Im, Y.T.;Kim, J.B.;Lee, H.Y.;Yu, B.
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.11
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    • pp.3516-3524
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    • 1996
  • Service conditions for structures at elevated temperatures in nuclear power plant involve transient thermal and mechanical load levels that are severe enough to caeuse inelastic deformations due to creep and plasticity. Therefore, a systematic mehtod of inelastic analysis is needed for the design of structural components in nuclear poser plants subjected to such loading conditions. In the present investigation, the Chabodhe model, one of the unified viscoplastic constitutive equations, was selected for systematic inelastic analysis. The material response was integrated based on GMR ( generallized mid-point rule) time integral scheme and provided to ABAQUS as a material subroutine, UMAT program. By comparing results obtaned from uniaxial analysis using the developed UMAT program with those from Runge-Kutta solutions and experimentaiton, the validity of the adopted Chaboche model and the numerical stability and accuracy of the developed UMAT program were verified. In addition, the developed material subroutine was applied for uniaxial creep and tension analyses for the plate with a hole in the center. The application further demonstrates usefulness of the developed program.

Time-dependent and inelastic behaviors of fiber- and particle hybrid composites

  • Kim, Jeong-Sik;Muliana, Anastasia
    • Structural Engineering and Mechanics
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    • v.34 no.4
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    • pp.525-539
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    • 2010
  • Polymer matrix composites are widely used in many engineering applications as they can be customized to meet a desired performance while not only maintaining low cost but also reducing weight. Polymers can experience viscoelastic-viscoplastic response when subjected to external loadings. Various reinforcements and fillers are added to polymers which bring out more complexity in analyzing the timedependent response. This study formulates an integrated micromechanical model and finite element (FE) analysis for predicting effective viscoelastic-viscoplastic response of polymer based hybrid composites. The studied hybrid system consists of unidirectional short-fiber reinforcements and a matrix system which is composed of solid spherical particle fillers dispersed in a homogeneous polymer constituent. The goal is to predict effective performance of hybrid systems having different compositions and properties of the fiber, particle, and matrix constituents. A combined Schapery's viscoelastic integral model and Valanis's endochronic viscoplastic model is used for the polymer constituent. The particle and fiber constituents are assumed linear elastic. A previously developed micromechanical model of particle reinforced composite is first used to obtain effective mechanical properties of the matrix systems. The effective properties of the matrix are then integrated to a unit-cell model of short-fiber reinforced composites, which is generated using the FE. The effective properties of the matrix are implemented using a user material subroutine in the FE framework. Limited experimental data and analytical solutions available in the literatures are used for comparisons.

Endochronic simulation for viscoplastic collapse of long, thick-walled tubes subjected to external pressure and axial tension

  • Lee, Kuo-Long;Chang, Kao-Hua
    • Structural Engineering and Mechanics
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    • v.18 no.5
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    • pp.627-644
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    • 2004
  • In this study, the endochronic theory was used to investigate the collapse of thick-walled tubes subjected to external pressure and axial tension. The experimental and theoretical findings of Madhavan et al. (1993) for thick-walled tubes of 304 stainless steel subjected to external pressure and axial tension were compared with the endochronic simulation. Collapse envelopes for various diameter-to-thickness tubes under two different pressure-tension loadings were involved. It has been shown that the experimental results were aptly described by the endochronic approach demonstrated from comparison with the theoretical prediction employed by Madhavan et al. (1993). Furthermore, by using the rate-sensitivity function of the intrinsic time measure proposed by Pan and Chern (1997) in the endochronic theory, our theoretical analysis was extended to investigate the viscoplastic collapse of thick-walled tubes subjected to external pressure and axial tension. It was found that the pressure-tension collapse envelopes are strongly influenced by the strain-rate during axial tension. Due to the hardening of the metal tube of 304 stainless steel under a faster strain-rate during uniaxial tension, the size of the tension-collapse envelope increases.

Analysis of Viscoplastic Softening Behavior of Concrete under Displacement Control (변위제어하에서 콘크리트의 점소성 연화거동해석)

  • Kim, Sang-Hwan
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1995.10a
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    • pp.185-193
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    • 1995
  • The softening behaviors of concrete have been the object of numerous experimental and numerical studies, because the load carrying capacity of cracked concrete structure is not zero. Numerical studies are devoted to the investigation of three-dimensional softening behaviors of concrete on the basis of a viscoplastic theory, which may be able to represent the effects of plasticity and also of rheology. In order to properly describe material behaviors corresponding to different stress levels, two surfaces in stress space are adopted; one is a yield surface, and the other is a failure or bounding surface. When a stress path reaches the failure surface, it is considered that the softening behaviors are initiated as micro-cracks coalesce and are simulated by assuming that the actual strain increments in the post-peak region are less than the equivalent viscoplastic strain increment. The experimental studies and the finite element analyses have been carried out under the displacement control. Numerically simulated results indicate that the model is able to predict the essential characteristics of concrete behaviors such as the non-linearity, stiffness degradation, different behaviors in tension and compression, and specially dilatation under uniaxial compression.

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Static and Dynamic Analysis of Reinforced Concrete Axisymmetric Shell on the Elastic Foundation -With Application to an Static Behavior Analysis of Axisymmetric Shell- (탄성지반상에 놓인 철근콘크리트 축대칭 쉘의 정적 및 동적 해석 (III) -비선형 정적거동을 중심으로-)

  • 조진구
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.39 no.3
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    • pp.72-82
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    • 1997
  • In all inelastic deformations time rate effects are always present to some degree. Whether or not their exclusion has a significant influence on the prediction of the material behaviour depends upon several factors. In the study of structural components under static loading conditions at normal temperature it is accepted that time rate effects are generally not important. However metals, especially under high temperatures, exhibit simultaneously the phenomena of creep and viscoplasticity. In this study, elastoplastic and elasto-viscoplastic models include nonlinear geometrical effects were developed and several numerical examples are also included to verify the computer programming work developed here in this work. Comparisons of the calculated results, for the elasto-viscoplastic analysis of an internally pressurised thick cylinder under plane strain condition, have shown that the model yields excellent results. The results obtained from the numerical examples for an elasto-viscoplastic analysis of the Nuclear Reinforced Concrete Containment Structure(NRCCS) subjected to an incrementally applied internal pressure were summarized as follows : 1. The steady state hoop stress distribution along the shell layer of dome and dome wall junction part of NRCCS were linearly behave and the stress in interior surfaces was larger than that in exterior. 2.However in the upper part of the wall of NRCCS the steady state hoop stress in creased linearly from its inner to outer surfaces, being the exact reverse to the previous case of dome/dome-wall junction part. 3.At the lower part of wall of NRCCS, the linear change of steady state hoop stress along its wall layer began to disturb above a certain level of load increase.

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Superplastic Forming Process Analysis for Aluminium Body Forming (알루미늄 차체성형을 위한 초소성 성형공정해석)

  • Kim C. G.;Kim Y. H.;Woo H. P.;Kim M. S.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2001.10a
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    • pp.89-92
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    • 2001
  • A rigid-viscoplastic finite element code for superplastic forming processes has been developed The material is assumed to be isotropic and a modified Coulomb friction law is adopted to explain contact between tool and sheet. This code uses the triangular element based on the membrane approximation and a hierarchical contact searching method is implemented The optimum pressure-time relationships for target strain rate are calculated by several pressure control algorithms. By the analysis, optimum pressure-time curves and deformation behavior are predicted.

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Finite element analysis of axisymmetric extrusion with strain rate sensitive materials (속도의존성 재료에 대한 축대칭 전방압출의 유한요소 해석)

  • 최재찬;김병민;이종수;조남춘
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.2
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    • pp.537-543
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    • 1991
  • In this study, the strain rate effects are considered in the formulation by introducing the constitutive equation of the strain rate sensitive materials and rigid-viscoplastic finite element program is developed for axisymmtric extrusion. The effect of strain rate sensitivity on the flow characteristics and forming pressure are investigated and the experiments are carried out for extrusion with pure lead specimens. The theoretically predicted forming pressure showed reasonably good agreement with the experimental values.

Liquefaction Analysis at Multi-Layered Ground Considering Viscoplastic Effect of Clay (점성토의 점소성 효과를 고려한 다층지반의 액상화 해석)

  • Yoon, Yong-Sun;Lee, Jae-Deuk;Kim, Yong-Seong
    • Journal of The Korean Society of Agricultural Engineers
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    • v.55 no.5
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    • pp.59-69
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    • 2013
  • 본 연구에서는 동적 점탄-점소성 구성식에 기초한 다층지반의 1차원 액상화 해석을 수행하였다. 일본 고베 포트아일랜드에서 발생한 1995 Hyogoken Nanbu 지진에 대하여 지반 모델링을 하였으며, 사질토 지반에는 탄소성 모델을, 점성토 지반에는 점탄-점소성 모델 및 탄-점소성 모델을 각각 적용하였다. 본 연구 결과, 모델 지반의 경우 지표 10 m 아래를 전후하여 액상화가 발생하였으며 액상화가 발생한 지반을 통과하는 지진파는 감쇠특성을 나타내고 이 때 전단변형률을 크게 증가시켰다. 또한, 대변형률 영역에서의 점성토의 동적거동 해석에서는 점소성 거동특성이 지배적이므로 점소성 모델의 적용이 중요함을 알 수 있었다. 한편 동적 점탄-점소성 구성모델은 대변형률 영역에서 점성토의 소성변형을 유발하는 대형 지진 발생시 점성토의 증폭 및 감쇠특성 분석에 적용 가능한 모델임을 확인하였다.

Analysis of Densification Behavior of Nano Cu Powders during Cold Isostatic Pressing (나노 구리 분말의 냉간정수압 공정에 대한 치밀화 거동 해석)

  • 윤승채;김형섭;이창규
    • Journal of Powder Materials
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    • v.11 no.4
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    • pp.341-347
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    • 2004
  • In the study, a hybrid constitutive model for densification of metallic powders was applied to cold isostatic pressing. The model is based on a pressure-dependent plasticity model for porous materials combined with a dislocation density-based viscoplastic constitutive model considering microstructural features such as grain size and inter-particle spacing. Comparison of experiment and calculated results of microscale and nanoscale Cu powders was made. This theoretical approach is useful for powder densification analysis of various powder sizes, deformation routes and powder processing methods.

Two-Dimensional Elasto-Viscoplastic Finite Element Analysis Considering Shield Tunneling Construction Stages (실드터널 시공단계를 고려한 2차원 탄.점소성 유한요소해석)

  • 진치섭;노경배;한상중
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1996.10a
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    • pp.89-94
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    • 1996
  • The use of shield is increasing day by day, because it's method is advantageous tunneling method to soft and collapsible ground. In case of analyzing shield tunnel by FEM, short term behavior of ground by initial heaving and tail void closure and long terms of it because of consolidation by changes of pore pressures in clay must be considered. In this paper, the shield tunneling construction stages was analyzed from 2 dimensional elasto - viscoplastic finite element program used Mohr - Coulomb yield criterion but not considered the changes of pore pressures. The object of investigation was N - 2 Tunnel. Since the good results of analysis compared to the measured behavior of ground for heaving, tail void closure and liner installation, this results can be applied to design and construction of shield tunneling for the subways, sewage lines etc.

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