• 유변학
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• 제7권3호
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• pp.192-202
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• 1995

이연구에서는 유변학 구성방정식이 나타내는 일차원 불안정성의 몇가지 예를 보였 다. 안정성 해석을 위하여 맥스웰형 미분구성방정식 Giesekus, Leonov, Larson 모델을 선택 하였다. 나타난 불안정성은 단순전단유동에서의 정상유동곡석이 무제한적 단수증가성을 위 배할 때 발생한다. 단순전단유동에 부과된 섭동하에서 Giesekus와 Larson 모델이 일정영역 의 무델계수와 전단율속도값에서 불안정 거동은 관성력을 고려하지 않은 경우에도 발생함이 증명되었다. 끝으로 이러한 불안정 거동을 개선하는 몇가지 방법을 Leonv와 Giesekus 모델 에 대하여 제시하였다.

• 한국지반공학회논문집
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• 제18권4호
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• pp.207-214
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• 2002

미소변형에서 대변형에 이르는 전체 변형도 영역의 구성모델을 ABAQUS 코드에 구현하였다. 구성모델은 비등방경화규칙에 근거한 전응력 개념의 탄소성 모델이다. 사용된 정식화 및 알고리즘은 (1) Jaumann 응력속도를 이용한 대변형도 조건 정식화 (2) 내재적 인 응력적분 (3) 일관된 접선계수를 포함하고 있다. 이를 통하여 비등방경화 구성관계를 적용한 대변형 해석을 정확하고 효율적으로 수행할 수 있는 토대를 구축하였다. 동반논문(전병곤 등, 2002)에서는 예제해석을 통하여 새로운 구성모델과 ABAQUS 코드를 이용한 대변형 해석결과를 기술하였다.

• 대한기계학회논문집A
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• 제27권7호
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• pp.1076-1086
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• 2003

The effect of a rubber mould on densification behavior of aluminum alloy powder was investigated under cold isostatic compaction. A thickness of rubber mould and friction effect between die wall and rubber mould were also studied. The hyperelastic constitutive equation based on the Ogden strain energy potential was employed to analyze deformation of rubber. The elastoplastic constitutive equation of Shima and Oyane and that of Lee on densification were implemented into a finite element program (ABAQUS) to simulate densification of metal powder for cold isostatic pressing and rubber isostatic pressing. Finite element results were compared with experimental data for densification and deformation of aluminum alloy powder under isostatic compaction.

• Korea-Australia Rheology Journal
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• 제11권3호
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• pp.225-232
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• 1999

This study presents 1-dimensional simple model for sheet casting or rectangular fiber spinning process. In order to achieve this goal, we introduce the concept of force flux balance at the die exit, which assigns for the extensional flow outside the die the initial condition containing the information of shear flow history inside the die. With the Leonov constitutive equation that predicts non-vanishing second normal stress difference in shear flow, we are able to describe the anisotropic swelling behavior of the extrudate at least qualitatively. In other words, the negative value of the second normal stress difference causes thickness swelling much higher than width of extrudate. This result implies the importance of choosing the rheological model in the analysis of polymer processing operations, since the constitutive equation with the vanishing second normal stress difference is shown to exhibit the characteristic of isotropic swelling, that is, the thickness swell ratio always equal to the ratio in width direction.

• 한국정밀공학회지
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• 제16권7호
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• pp.7-14
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• 1999

어브레시브 워터젯을 이용한 Drilling시 깊이에 대한 예측은 가장 중요한 변주중의 하나다. 이 논문에서는 구멍 깊이의 예측 및 구멍 형상을 연구하기 위하여 3차원 해석 모델이 제안되었다. 해석 모델은 크게 두 가지로 구성되었다. 하나는 비선형 반복 방정식에서 생성된 입자의 운동식이며, 다른 하나는 수많은 입자에 의한 충돌시 가공능력을 규정지우는 Constitutive Equation으로 구성되었다. 이 모델은 구멍 가공이 진행됨에 따라 발생하는 감쇠 효과를 고려하였다.실험적인 고찰이 해석모델의 유용성을 검증하기 위하여 이루어졌으며, 근사한 결과를 보였다.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2003년도 춘계학술대회
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• pp.507-512
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• 2003

A finite element analysis for near-net-shape forming of Al6061 powder was performed under warm pressing. The advantages of warm compaction by rubber isostatic pressing were discussed to obtain parts with better density distributions. To simulate densification and deformed shape of a powder compact during warm pressing, the elastoplastic constitutive equation based on yield function of Shima-Oyane was implemented into a finite element program(ABAQUS). The hyperelastic constitutive equation based on the Ogden strain energy potential was employed to analyze nonlinear elastic response of rubber. Finite element results were compared with experimental data for Al6061 powder compacts under warm pressing.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2003년도 춘계학술대회
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• pp.1154-1158
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• 2003

Finite element analysis of welding processes, which entail phase evolution, heat transfer and deformations, is considered in this paper. Attention focuses on numerical implementation of the thermo-elastic-plastic constitutive equation proposed by Leblond in consideration of the transformation plasticity. Based upon the multiplicative decomposition of deformation gradient, hyperelastic formulation is employed for efficient numerical integration, and the algorithmic consistent moduli for elastic-plastic deformations including transformation plasticity are obtained in the closed form. The convergence behavior of the present implementation is demonstrated via a couple of numerical examples.

• Journal of Mechanical Science and Technology
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• 제20권5호
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• pp.621-633
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• 2006

To reflect the size effect of material $(1\sim15{\mu}m)$ during plastic deformation of polycrystalline copper, a constitutive equation which includes the strain gradient plasticity theory and intrinsic material length model is coupled with the finite element analysis and applied to plane strain deformation problem. The method of least square has been used to calculate the strain gradient at each element during deformation and the effect of distributed force on the strain gradient is investigated as well. It shows when material size is less than the intrinsic material length $(1.54{\mu}m)$, its deformation behavior is quite different compared with that computed from the conventional plasticity. The generation of strain gradient is greatly suppressed, but it appears again as the material size increases. Results also reveal that the strain gradient leads to deformation hardening. The distributed force plays a role to amplify the strain gradient distribution.

• 소성∙가공
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• 제1권1호
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• pp.95-103
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• 1992

The plane strain analysis for simulating the stretch/draw forming operation with an arbitrarily-shaped tool profile is introduced. An implicit, incremental, updated Lagrangian formulation with a rigid-viscoplastic constitutive equation is employed. Contact and friction are considered through the mesh-normal, which compatibly describes arbitrary tool surfaces and FEM meshes without depending on the explicit spatial derivatives of tool surfaces. The linear line elements are used for depicting the formed sheet, based on membrane approximation. The FEM formulation is tested in the sections of automotive inner panel and two-side draw-in. Not only the excellent agreement between measured and computed strains is obtained in the stretched section, but also the numerical stability of formulation is verified in the draw-in section.

• 소성∙가공
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• 제16권4호
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• pp.276-281
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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 calculating the Euler angles 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 the prediction using crystal plasticity and experiment shows the verification of the crystal plasticity-based formulation and the accuracy of the hardening and constitutive equation obtained from the crystal plasticity.