• 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.

• 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.

• 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.

• 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.

• 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.

• 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.

• 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.

• 대한기계학회논문집A
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• 제20권11호
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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.

• 대한토목학회논문집
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• 제30권4D호
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• pp.387-393
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• 2010

본 논문에서는 아스팔트 포장의 균열 성장을 분석하기 위해서 확장유한요소법을 사용하였다. 또한 아스팔트의 점탄성 효과를 고려하기 위하여 맥스웰 체인을 이용한 점탄성 구성방정식을 사용하였으며, 균열 모델로는 선형점성균열 모델을 사용하였다. 특히 점탄성 구성방정식을 구성할 때 측정을 통해 얻어지는 온도별 변형계수와 지연시간을 Prony 급수를 이용해 재구성한 크리프 곡선을 직접 사용하지 않고 연속적인 미분이 가능한 멱승 로그 식으로 대체하여 사용하였다. 멱승 로그 식으로 완화시간 스펙트럼(relaxation spectrum)을 계산하여 맥스웰 체인의 부분탄성계수(partial moduli)를 도출하였다. 멱승 로그 적정 식을 통해 구한 맥스웰 체인의 부분 탄성계수는 크리프 곡선을 직접 이용하는 방법으로 구한 부분 탄성계수 보다 안정적인 형태의 곡선을 나타내어 해석을 용이하게 해준다. 개발된 정적균열 해석 모듈을 이용하여 아스팔트 시편의 온도별 정적균열 성장 실험 결과를 성공적으로 모사할 수 있었다.

• 한국소성가공학회:학술대회논문집
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• 한국소성가공학회 2007년도 춘계학술대회 논문집
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• pp.282-284
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• 2007

The hardening and the constitutive equation based on the crystal plasticity are introduced for the numerical simulation of hemispherical sheet metal forming. For calculating the deformation and the stress of the crystal, Taylor's model of the crystalline aggregate is employed. The hardening is evaluated by using the Taylor factor, the critical resolved shear stress of the slip system, and the sum of the crystallographic shears. During the hemispherical forming process, the texture of the sheet metal is evolved by the plastic deformation of the crystal. By observing the texture evolution of the BCC sheet, the texture evolution of the sheet is traced during the forming process. Deformation texture of the BCC sheet is represented by using the pole figure. The comparison of the strain distribution and punch force in the hemispherical forming process between crystal plasticity and experiment shows the verification of the crystal-based formulation and the accuracy of the hardening and constitutive equation obtained from the crystal plasticity.