• 제목/요약/키워드: Constitutive Equation

검색결과 476건 처리시간 0.032초

공구강의 고온 변형 거동 예측을 위한 모델 비교 연구 (Comparison Study of Prediction Models for Hot Deformation Behavior of Tool Steel)

  • 김근학;박동성;전중환;이민하;이석재
    • 열처리공학회지
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    • 제31권4호
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    • pp.180-186
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    • 2018
  • High temperature flow behaviors of Fe-Cr-Mo-V-W-C tool steel were investigated using isothermal compression tests on a Gleeble simulator. The compressive test temperature was varied from 850 to $1,150^{\circ}C$ with the strain rate ranges of 0.05 and $10s^{-1}$. The maximum height reduction was 45%. The dynamic softening related to the dynamic recrystallization was observed during hot deformation. The constitutive model based on Arrhenius-typed equation with the Zener-Hollomon parameter was proposed to simulate the hot deformation behavior of Fe-Cr-Mo-V-W-C steel. An artificial neural network (ANN) model was also developed to compare with the constitutive model. It was concluded that the ANN model showed more accurate prediction compared with the constitutive model for describing the hot compressive behavior of Fe-Cr-Mo-V-W-C steel.

MLS차분법을 이용한 재료비선형 문제 해석 (Development of MLS Difference Method for Material Nonlinear Problem)

  • 윤영철
    • 한국전산구조공학회논문집
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    • 제29권3호
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    • pp.237-244
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    • 2016
  • 본 연구는 재료비선형 문제를 다루기 위한 비선형 MLS 차분법의 정식화 과정을 제시한다. MLS 차분법은 절점모델을 기반으로 고속 미분근사식을 활용하여 지배 미분방정식을 직접 이산화 하는데, 변수를 변위로 일원화한 Navier 방정식을 사용하여 탄성재료 문제를 다룬 기존의 MLS 차분법은 재료의 구성방정식을 별도로 고려할 수 없다. 본 연구에서는 비선형 재료의 구성방정식을 반영할 수 있는 강정식화를 위해 1차 미분근사를 반복 사용하는 겹미분근사를 고안했다. 응력의 발산으로 표현되는 평형방정식을 그대로 이산화하고 Newton 방법을 적용하여 반복계산을 통해 수렴해를 찾는 비선형 알고리즘을 제시했다. 응력 계산과 내부변수의 갱신은 return mapping 알고리즘을 활용하였고, 알고리즘 접선계수(algorithmic tangent modulus)의 적용을 통해 빠르고 안정적인 반복계산이 가능하도록 하였다. 재생성 시험을 통해 겹미분근사의 정당성을 검증했고, 비선형재료에 대한 인장문제의 해석을 통해 개발된 비선형 MLS 차분 알고리즘의 정확성과 안정성을 확인하였다.

Shear stress analysis of phosphorylated potato starch based electrorheological fluid

  • Hong, Cheng-Hai;Choi, Hyoung-Jin
    • Korea-Australia Rheology Journal
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    • 제19권4호
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    • pp.221-225
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    • 2007
  • Electrorheological characteristics of a dispersed system of phosphorylated potato starch particles in silicone oil investigated via a rotational rheometer equipped with a high voltage generator is being reanalysized. Flow curves of these ER fluids both under several applied electric field strengths and with different degrees of phosphate substitution were mainly examined via three different rheological constitutive equations of Bingham model, De Kee-Turcotte model and our previously proposed CCJ model. Among these, the CCJ equation was found to fit the data of phosphorylated potato starch well.

Slab모델을 이용한 HTS AC 손실의 계산 (AC Loss Calculation in High Temperature Superconductors Using Slab model)

  • 최세용;주진호;류경우;나완수
    • 한국초전도저온공학회:학술대회논문집
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    • 한국초전도저온공학회 2001년도 학술대회 논문집
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    • pp.102-103
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    • 2001
  • In this paper we calculate the AC Loss in the superconducting slab carrying ac transport current. Magnetic diffusion equation for computation of the electric field and current distribution are based on Maxwell's equations and non-linear constitutive equation. The E-J characteristics of superconductor are applied to computation. We will present the result of the high-temperature superconductor case comparison with the slab of low temperature superconductor.

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사출압축성형 공정에 대한 유한요소 해석 (Finite Element Analysis of Injection/Compression Molding Process)

  • 이호상
    • 소성∙가공
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    • 제13권2호
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    • pp.180-187
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    • 2004
  • A computer code was developed to simulate the filling stage of the injection/compression molding process by a finite element method. The constitutive equation used here was the compressible Leonov model. The PVT relationship was assumed to follow the Tait equation. The flow-induced birefringence was related to the calculated flow stresses through the linear stress-optical law. Simulations of a disk part under different process conditions including the variation of compression stroke and compression speed were carried out to understand their effects on birefringence variation. The simulated results were also compared with those by conventional injection molding.

콘크리트의 순간동역학적 충돌손상 거동해석 (Transient dynamic analysis of impact damage behavior for concrete)

  • 박대효;노명현
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2006년도 추계 학술발표회 논문집
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    • pp.857-860
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    • 2006
  • In the present study, the method and procedure for analysis of impact damage behavior for concrete under penetration and perforation of projectile is investigated. Conservation law, equation of motion, initial and boundary conditions, and FEM formulation are introduced and derived respectively. Specially, the constitutive equation which rate-dependent damage combined with rate-dependent plasticity within the appropriate framework of theory of thermodynamics is examined. This paper aimed at the review with respect to impact damage models for concrete to develop that model. This paper is a basis research for the development of impact damage model for concrete.

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Constitutive equation and damping function for entangled polymers

  • Osaki, Kunihiro
    • Korea-Australia Rheology Journal
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    • 제11권4호
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    • pp.287-291
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    • 1999
  • The tube model theory of entangled polymer presumes that the polymer chain holds its equilibrium contour length under certain conditions of flow; at times longer than a certain characteristic time, ${\tau}_k$, in the stress relaxation process following any flow history; in steady flow of rates smaller than ${{\tau}_k}^{-1}$; etc. Rheological phenomena associated with this presumption are discussed.

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구성방정식을 이용한 거친 화강암 절리면의 주기전단거동 특성규명 (Verification for the Cyclic Shear Behavior of Rough Granite Joint Using Constitutive Equation)

  • 김대상;박인준;이희석
    • 한국지반공학회논문집
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    • 제18권1호
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    • pp.141-152
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    • 2002
  • 많은 구성방정식들이 탄성, 소성, 그리고 동적응답 특성을 지닌 지반재료의 거동 특성을 규명하기 위하여 제안되어 왔다. 그러나 암반의 절리면 또는 접촉면의 주기 전단 거동특성을 정의 할 수 있는 수치해석 모델의 개발은 미진하였다. 이런 실제적인 구성 방정식 모델은 동 하중하의 암반 절리면의 거동을 예측하고 해석하는데 매우 중요한 역할을 할 것이다. 본 연구의 목적은 거친 화강암 절리면의 거동특성을 모델링 할 수 있도록 수정된 구성방정식 모델의 적용성을 검토하는데 있다. 교란상태 개념(DSC) 모델은 이미 다른 접촉면 거동 모델링을 통해서 그 신뢰성을 검증 받아왔다. 이 모델을 암반 절리면 거동 특성에 맞도록 수정한 후에, 주기전단 시험 결과 및 Plesha모델의 해석 결과를 이용하여 DSC모델의 절리면 주기 전단 특성에 대한 적용성을 비교.검토하고자 한다. 본 연구결과로부터 DSC모델은 동하중하의 거친 화강암 절리면의 주기전단 거동특성을 규명할 수 있다고 판단된다.

Finite element analysis of planar 4:1 contraction flow with the tensor-logarithmic formulation of differential constitutive equations

  • Kwon Youngdon
    • Korea-Australia Rheology Journal
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    • 제16권4호
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    • pp.183-191
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    • 2004
  • High Deborah or Weissenberg number problems in viscoelastic flow modeling have been known formidably difficult even in the inertialess limit. There exists almost no result that shows satisfactory accuracy and proper mesh convergence at the same time. However recently, quite a breakthrough seems to have been made in this field of computational rheology. So called matrix-logarithm (here we name it tensor-logarithm) formulation of the viscoelastic constitutive equations originally written in terms of the conformation tensor has been suggested by Fattal and Kupferman (2004) and its finite element implementation has been first presented by Hulsen (2004). Both the works have reported almost unbounded convergence limit in solving two benchmark problems. This new formulation incorporates proper polynomial interpolations of the log­arithm for the variables that exhibit steep exponential dependence near stagnation points, and it also strictly preserves the positive definiteness of the conformation tensor. In this study, we present an alternative pro­cedure for deriving the tensor-logarithmic representation of the differential constitutive equations and pro­vide a numerical example with the Leonov model in 4:1 planar contraction flows. Dramatic improvement of the computational algorithm with stable convergence has been demonstrated and it seems that there exists appropriate mesh convergence even though this conclusion requires further study. It is thought that this new formalism will work only for a few differential constitutive equations proven globally stable. Thus the math­ematical stability criteria perhaps play an important role on the choice and development of the suitable con­stitutive equations. In this respect, the Leonov viscoelastic model is quite feasible and becomes more essential since it has been proven globally stable and it offers the simplest form in the tensor-logarithmic formulation.

액체금속로 Y-구조물의 비탄성 열응력 해석 및 손상평가에 관한 유한요소해석 (Finite element analysis of inelastic thermal stress and damage estimation of Y-structure in liquid metal fast breeder reactor)

  • 곽대영;임용택;김종범;이형연;유봉
    • 대한기계학회논문집A
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    • 제21권7호
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    • pp.1042-1049
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    • 1997
  • LMFBR(Liquid Metal Fast Breeder Reactor) vessel is operated under the high temperatures of 500-550.deg. C. Thus, transient thermal loads were severe enough to cause inelastic deformation due to creep-fatigue and plasticity. For reduction of such inelastic deformations, Y-piece structure in the form of a thermal sleeve is used in LMFBR vessel under repeated start-up, service and shut-down conditions. Therefore, a systematic method for inelastic analysis is needed for design of the Y-piece structure subjected to such loading conditions. In the present investigation, finite element analysis of heat transfer and inelastic thermal stress were carried out for the Y-piece structure in LMFBR vessel under service conditions. For such analysis, ABAQUS program was employed based on the elasto-plastic and Chaboche viscoplastic constitutive equations. Based on numerical data obtained from the analysis, creep-fatigue damage estimation according to ASME Code Case N-47 was made and compared to each other. Finally, it was found out that the numerical predictio of damage level due to creep based on Chaboche unified viscoplastic constitutive equation was relatively better compared to elasto-plastic constitutive formulation.