• 제목/요약/키워드: Viscoplastic behavior

검색결과 94건 처리시간 0.025초

알루미늄 합금 박판 스탬핑 공정의 단면 성형 해석 (Sectional Forming Analysis of Stamping Processes for Luminum Alloy Sheet metals)

  • 이광병;이승열;금영탁
    • 소성∙가공
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    • 제6권4호
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    • pp.279-290
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    • 1997
  • The sectional forming analysis of stamping pocesses for aluminum alloy sheet metals was investigated. For the modeling of the anomalous behavior of aluminum alloy sheet. the Barlat's strain rate potential and Hill's 1990 non-quadratic yield theory with an isotropic hardening rule were employed. The rigid-viscoplastic FEM formulation which solves equilibrium equation for plane-strain stage with mesh-normal geometric constraints was derived. A new method to determine the Barlat's anisotropic coefficients was also suggested. To verify the validity of the formulation, the stretch and draw forming processes of a square cup were simulated.

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폴리우레탄 폼 비선형 압축 거동 해석용 온도 의존 손상 점소성 구성방정식 (Temperature-Dependent Viscoplastic-Damage Constitutive Model for Nonlinear Compressive Behavior of Polyurethane Foam)

  • 이정호;김슬기;이제명
    • 한국전산구조공학회논문집
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    • 제29권5호
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    • pp.437-445
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    • 2016
  • 현재 많은 산업에서 구조물의 온도환경 유지를 위한 단열재로 폴리우레탄 폼이 사용되며, 수명 동안 정적 및 동적의 다양한 하중이 이에 부과된다. 폴리우레탄 폼은 고분자재료로써 다공성이며, 단열성능은 내부기공의 크기에 크게 의존한다. 또한, 폴리우레탄 폼의 기계적 거동은 변형률 속도 및 온도에 대한 의존성이 큰 동시에 압축에 대하여 큰 비선형 연성거동을 보인다. 이러한 비선형 연성 압축거동 중에 폴리우레탄 폼은 변형률의 증가에 따라 기공율과 탄성계수의 감소를 보인다. 따라서 본 연구에서는 상기 특성들을 포함한 폴리우레탄 폼의 변형률 속도 및 온도 의존 비선형 압축거동을 모사하기 위하여 온도 의존 손상 점소성 구성방정식이 개발되었다.

안티푸라민-에스® 로션의 레올로지 특성 연구 (Rheological Properties of Antiphlamine-S® Lotion)

  • 국화윤;송기원
    • Journal of Pharmaceutical Investigation
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    • 제39권3호
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    • pp.185-199
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    • 2009
  • Using a strain-controlled rheometer [Advanced Rheometric Expansion System (ARES)], the steady shear flow properties and the dynamic viscoelastic properties of $Antiphlamine-S^{(R)}$ lotion have been measured at $20^{\circ}C$ (storage temperature) and $37^{\circ}C$ (body temperature). In this article, the temperature dependence of the linear viscoelastic behavior was firstly reported from the experimental data obtained from a temperature-sweep test. The steady shear flow behavior was secondly reported and then the effect of shear rate on this behavior was discussed in detail. In addition, several inelastic-viscoplastic flow models including a yield stress parameter were employed to make a quantitative evaluation of the steady shear flow behavior, and then the applicability of these models was examined by calculating the various material parameters. The angular frequency dependence of the linear viscoelastic behavior was nextly explained and quantitatively predicted using a fractional derivative model. Finally, the strain amplitude dependence of the dynamic viscoelastic behavior was discussed in full to elucidate a nonlinear rheological behavior in large amplitude oscillatory shear flow fields. Main findings obtained from this study can be summarized as follows : (1) The linear viscoelastic behavior is almostly independent of temperature over a temperature range of $15{\sim}40^{circ}C$. (2) The steady shear viscosity is sharply decreased as an increase in shear rate, demonstrating a pronounced Non-Newtonian shear-thinning flow behavior. (3) The shear stress tends to approach a limiting constant value as a decrease in shear rate, exhibiting an existence of a yield stress. (4) The Herschel-Bulkley, Mizrahi-Berk and Heinz-Casson models are all applicable and have an equivalent validity to quantitatively describe the steady shear flow behavior of $Antiphlamine-S^{(R)}$ lotion whereas both the Bingham and Casson models do not give a good applicability. (5) In small amplitude oscillatory shear flow fields, the storage modulus is always greater than the loss modulus over an entire range of angular frequencies tested and both moduli show a slight dependence on angular frequency. This means that the linear viscoelastic behavior of $Antiphlamine-S^{(R)}$ lotion is dominated by an elastic nature rather than a viscous feature and that a gel-like structure is present in this system. (6) In large amplitude oscillatory shear flow fields, the storage modulus shows a nonlinear strain-thinning behavior at strain amplitude range larger than 10 % while the loss modulus exhibits a weak strain-overshoot behavior up to a strain amplitude of 50 % beyond which followed by a decrease in loss modulus with an increase in strain amplitude. (7) At sufficiently large strain amplitude range (${\gamma}_0$>100 %), the loss modulus is found to be greater than the storage modulus, indicating that a viscous property becomes superior to an elastic character in large shear deformations.

열가소성 복합재료의 응력완화 모델링 (Modeling the Relaxation Behavior of a Polymeric Composite)

  • 김위대
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2000년도 춘계학술발표대회 논문집
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    • pp.76-79
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    • 2000
  • Polymeric composites exhibit highly nonlinear and rate dependent behavior during loading and unloading in off-axis directions. The equilibrium state of stress during loading is lower than the state of stress produced at finite strain rates. The amount of stress relaxation during loading decreases. Interestingly, however, the stress goes up to reach to the equilibrium state of stress for a fixed displacement during unloading. The unloading behavior is quite similar to the loading behavior. The stress relaxation patterns during loading and unloading is also similar, and those depend on the fiber orientation angles and the loading and unloading rates. The AS4/PEEK thermoplastic composite is used to characterize the relaxation behavior for different off-axis angles and loading rates. There exists a transient loading region at the beginning of unloading. The effective stress and effective plastic strain concept is used to establish a master curve of stress recovery pattern for different off-axis angles and unloading rates.

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플립 칩 패키지 솔더의 탄소성 거동과 크립 해석 (Elastoplastic Behavior and Creep Analysis of Solder in a FC-PBGA Package)

  • 최남진;이봉희;주진원
    • 마이크로전자및패키징학회지
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    • 제17권2호
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    • pp.21-28
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    • 2010
  • 본 논문에서는 온도 사이클이 진행되는 동안 비선형 거동과 크립 거동을 보이는 FC-PBGA 패키지 솔더볼의 변형거동을 알아보기 위하여 시간에 종속하는 거동을 적용 시킬 수 있는 점소성 모델과 크립 모델에 대하여 유한요소해석을 수행하였다. 유한요소해석 결과의 신뢰성을 평가하기 위하여 무아레 간섭계를 이용하여 온도변화에 따른 열변형 실험을 수행하였다. 전체적인 굽힘변위는 Anand 모델과 변형률 분리 모델 모두 실험결과와 잘 일치하였으나 솔더볼의 변형률은 Anand 모델의 경우 큰 차이를 보이고 변형률 분리 모델의 경우 상당히 일치하는 계산결과를 얻었다. 따라서 본 논문에서는 변형률 분리 모델을 이용하여 시간에 종속하는 FC-PBGA 패키지 솔더볼의 크립 거동을 검토하였다. 솔더를 포함한 패키지에 온도변화가 생길 때 고온에서는 시간이 지남에 따라 크립 거동에 의해 솔더의 응력이 점차 완화되는 현상을 나타내고 있음을 알 수 있었다.

Tension-Compression Asymmetry in the Off-Axis Nonlinear Rate-Dependent Behavior of a Unidirectional Carbon/Epoxy Laminate at High Temperature and Incorporation into Viscoplasticity Modeling

  • Kawai, M.;Zhang, J.Q.;Saito, S.;Xiao, Y.;Hatta, H.
    • Advanced Composite Materials
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    • 제18권3호
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    • pp.265-285
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    • 2009
  • Off-axis compressive deformation behavior of a unidirectional CFRP laminate at high temperature and its strain-rate dependence in a quasi-static range are examined for various fiber orientations. By comparing the off-axis compressive and tensile behaviors at an equal strain rate, the effect of different loading modes on the flow stress level, rate-dependence and nonlinearity of the off-axis inelastic deformation is elucidated. The experimental results indicate that the compressive flow stress levels for relatively larger off-axis angles of $30^{\circ}$, $45^{\circ}$ and $90^{\circ}$ are about 50 percent larger than in tension for the same fiber orientations, respectively. The nonlinear deformations under off-axis tensile and compressive loading conditions exhibit significant strain-rate dependence. Similar features are observed in the fiber-orientation dependence of the off-axis flow stress levels under tension and compression and in the off-axis flow stress differential in tension and compression, regardless of the strain rate. A phenomenological theory of viscoplasticity is then developed which can describe the tension-compression asymmetry as well as the rate dependence, nonlinearity and fiber orientation dependence of the off-axis tensile and compressive behaviors of unidirectional composites in a unified manner. It is demonstrated by comparing with experimental results that the proposed viscoplastic constitutive model can be applied with reasonable accuracy to predict the different, nonlinear and rate-dependent behaviors of the unidirectional composite under off-axis tensile and compressive loading conditions.

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

  • 조진구
    • 한국농공학회지
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    • 제39권3호
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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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Pleistocene 해저지반의 3차원 장기거동 해석을 위해 개발한 수치해석 기법의 입증 (Demonstration of Developed Numerical Procedure to Describe 3-dimensional Long-term Behavior of the Pleistocene Marine Foundations)

  • 윤성규
    • 한국지반공학회논문집
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    • 제36권7호
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    • pp.5-14
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    • 2020
  • 간사이 공항은 1994년 9월에 개항하였다. 제 1기섬 완공 후 26년이 지났지만 여전히 장기침하가 진행되고 있다. 이 침하는 Pleistocene층에서 발생하고 있다. 계속적으로 변하는 수평방향으로의 지층두께 및 세립분의 함유량이 달라 Pleistocene 모래층의 투수성을 결정하는 것이 쉽지 않기 때문이다. 또한 인접한 제 2기섬의 건설에 따른 지반의 상호거동을 예측에 대한 어려움도 존재한다. 이 문제를 해결하기 위해서, 인접한 두 매립 섬의 건설에 따른 교차하는 Pleistocene 지반의 상호거동을 포함한 장기변형을 평가하기 위해 탄점소성을 고려한 2차원 유한요소해석이 수행되었다. 일반적으로 2차원해석은 한 개의 단면이 전체 단면을 대표할 수 있을 때 사용이 가능하다. 하지만 간사이공항은 매립에 의한 인공섬으로서 2차원 해석으로는 섬의 코너(corner) 부분의 응력 변형문제에 적용할 수 없으며, 물리탐사를 통한 실제 하부지반의 구조도 불균질하며 그 두께 또한 일정하지 않아 2차원해석만으로는 한계가 있다. 즉, 3차원 해석이 강력히 요구된다. 이러한 요구에 의해 본 저자는 탄점소성 해석이 가능한 기존의 2차원 프로그램을 3차원으로 확장하였으며, 1차원 압밀해석해을 통해서 개발한 3차원 프로그램의 검증(verification)을 완료하였다. 본 논문은 검증을 마친, 개발한 3차원 프로그램의 유효성을 입증하기 위해서, 2차원 프로그램을 이용한 기존의 연구와 동일한 해석조건으로 해석을 수행하여, 해석결과를 2차원 결과와 실제 계측값과 비교함으로서 개발한 3차원 수치해석프로그램의 유효성을 입증(demonstration)하였다.

인공 매립 지반에서의 지진파 증폭 특성 (Seismic Motion Amplification Characteristics at Artificial Reclaimed Land)

  • 김용성;문용
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2005년도 춘계 학술발표회 논문집
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    • pp.1134-1139
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    • 2005
  • Seismic motion amplification owing to the input motion level at bedrock is one of the important topics to understand various geomaterials behavior. The extremely valuable borehole records at Port Island were obtained during the 1995 Hyogoken Nanbu Earthquake and also before and after the main event. In this study, the seismic motion amplification at the soft reclaimed ground was discussed. Comparison of measured records with numerical simulation results were made with focus on seismic motion amplification characteristics at the soft reclaimed ground.

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점소성 구성식의 적분에 미치는 선형화 방법의 영향 (Comparison of Semi-Implicit Integration Schemes for Rate-Dependent Plasticity)

  • 윤삼손;이순복
    • 대한기계학회논문집A
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    • 제27권11호
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    • pp.1907-1916
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    • 2003
  • During decades, there has been much progress in understanding of the inelastic behavior of the materials and numerous inelastic constitutive equations have been developed. The complexity of these constitutive equations generally requires a stable and accurate numerical method. To obtain the increment of state variable, its evolution laws are linearized by several approximation methods, such as general midpoint rule(GMR) or general trapezoidal rule(GTR). In this investigation, semi-implicit integration schemes using GTR and GMR were developed and implemented into ABAQUS by means of UMAT subroutine. The comparison of integration schemes was conducted on the simple tension case, and simple shear case and nonproportional loading case. The fully implicit integration(FI) was the most stable but amplified the truncation error when the nonlinearity of state variable is strong. The semi-implicit integration using GTR gave the most accurate results at tension and shear problem. The numerical solutions with refined time increment were always placed between results of GTR and those of FI. GTR integration with adjusting midpoint parameter can be recommended as the best integration method for viscoplastic equation considering nonlinear kinematic hardening.