• Title/Summary/Keyword: 엑스플리시트 시간 적분 유한 요소법

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An Analysis of High Speed Forming Using the Explicit Time Integration Finite Element Method(II) - Application to High Speed Rolling - (엑스플리시트 시간 적분 유한 요소법을 이용한 고속 성형 해석(II) - 고속 압연 해석)

  • 유요한;정동택
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.5
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    • pp.1551-1562
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    • 1991
  • 최근까지 발표된 유한 요소법을 이용한 압연 해석 관련 주요 논문들을 정리해 보면 다음과 같다. Li와 Kobayashil는 강소성 유한 요소법(rigidplastic finite element method)을 여러가지 마찰조건에 대하여 해석하였다. 이때 압연롤은 강체 (rigid body)로 시편은 가공경화(workhardening)를 동반한 강소성체로 모델링하였다. Hwang과 Kobayashi는 강소성 유한 요소법을 이용한 평면 변형 압연에서 재료 손실을 최소화하는 예비 성형체(preform)의 설계에 대한 연구를 수행하였다. 이 경우에도 역시 압연롤은 강체로 시편은 가공 경화를 동반한 강소성체와 완전 소성체로 모델링 되었으나, 고착(sticking) 마찰 조건에 대해서만 해석을 수행하였다. Mori와 Osak- ada 그리고 Oda는 약간 압축성이 있는 재료의 평면 변형 압연에 대하여 연구하였다. 이때 압연롤은 강체로 시편은 가공 경화를 동반한 강소성체로 모델링 되었으며 경계 면에서는 Coulomb 마찰을 고려하였다. 이밖에도 오일러(Eulerian) 수식화를 이용한 Dawson과 Thompson, Berman의 해석 결과가 있으며, 또 폭 방향의 변형까지를 고려한 Li와 Kobayashi, Mori와 Osakada의 3차원 해석 결과가 있다.

An Analysis of High Speed Forming Using the Explicit Time Integration Finite Element Method (I) -Effects of Friction and Inertia Force- (엑스플리시트 시간 적분 유한요소법을 이용한 고속 성형 해석 (I) -마찰 및 관성 효과-)

  • 유요한;정동택
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.1
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    • pp.1-10
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    • 1991
  • Two-dimensional explicit finite element code was developed. The transient dynamics code can analyse large deformations of non-linear materials subjected to extremely high strain rates. The Lagrangian finite element program uses an explicit time integration operator to integrate the equations of motion, thus the stiffness matrix is not introduced. Cylinder upsetting and ring compression problems are simulated to check the effects of friction and inertia force. It is shown that (1) calculated results agree very well with experimental results, (2) constant shear friction method overestimates the decrease of inner ring radius and then underestimates after on in comparison with the Coulomb friction method, and (3) the effect of the increase in initial strain rate is similar to the effect of higher frictional coefficient.

임의 형상의 다타격 단조해석

  • Jeong, Dong-Taek;Yu, Yo-Han
    • Transactions of Materials Processing
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    • v.1 no.2
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    • pp.63-74
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    • 1992
  • 낙하햄머를 이용한 복잡형상의 다타격 단조(multi-blow forging)를 파동 방정식에 기초를둔 엑스플리시트 시간적분 유한요소법을 사용하여 해석하였다. 초기에 햄머가 일정속도로 단조 재료를 타격하고 그후 금형과 단조재료에 남아있는 탄성에너지에 의하여 금형이 단조재료로부터 완전히 분리될때 까지 계산을 수행한후 소성변형 만을 다음 타격시에 사용 하였다. 이러한 방법을 사용하여 원하는 형태가 이루어질때 까지 타격을 반복하였다. 마찰이 적을수록 그리고 햄머의 초기속도가 빠를수록 타격 효율이 증가함을 확인 하였다. 또한 일정 타격후 다이의 진동을 관찰할수 있었다.

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Finite Element Anmllysis of Adiabatic Shear Band (단열 전단 밴드의 유한요소 해석)

  • 유요한;전기영;정동택
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.8
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    • pp.1519-1529
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    • 1992
  • A stepped specimen which is subjected to step loading is modeled to study the initiation and growth of adiabatic shear band using explicit time integration finite element code. The material model for specimen includes effects of thermal softening, strain hardening and strain rate hardening. Various mesh sizes are tested to check whether they are small enough to model highly localized discontinuous phenomena reasonably well. It is shown that the number of adiabatic shear band depends on impact velocity and it is also shown that the initiation and growth of adiabatic shear band inversely depends on prescribed velocity at the top of specimen.

Finite element analysis and experiment on the formation of adiabatic shear band in 4340 steel (4340강의 단열 전단밴드생성에 대한 유한요소해석 및 실험적 고찰)

  • 정동택;유요한
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.5
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    • pp.1134-1143
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    • 1994
  • A study of adiabatic shear band formation and propagation of 4340 steel was done using the stepped speciment which was subjected to high velocity impact. The high velocity impact was performed on compression Hopkinson bar impact machine. After the controlled impact, the specimen was prepared for visual inspection. Numerical simulation was also performed with same geometrical dimension using explicit time integration finite element code. Experimental results were then compared with the numerical prediction. It was found that the numerical prediction is quite accurate, average thickness of adiabatic shear band is about $10{\mu}m$, the macro crack around shoulder is due to folding, and the deformation control ring is effective to freeze the propagation of adiabatic shear band.

Effects of Clearance on the Formation of Adiabatic Shear Band in Stepped Specimen (계단시편의 간극이 단열전단밴드의 형성에 미치는 영향)

  • Yoo, Y.H.;Jeon, G.Y.;Chung, D.T.
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.7 s.94
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    • pp.1700-1709
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    • 1993
  • The stepped specimen which is subjected to step loading is modeled to study the initiation and growth of adiabatic shear band using explicit time integration finite element method. Three different clearance sizes are tested. The material model for the stepped specimen includes effects of strain hardening, strain rate hardening and thermal softening. It is found that the material inside the fully grown adiabatic shear band experiences three phase of deformation, (1) homogeneous deformation phase, (2) initiation/incubation phase, and (3) fast growth phase. The second phase of deformation is initiated after sudden shear stress drop which occurs at the same time regardless of the clearance size. The incubation time prior to fast growth phase increases, as the clearance size of the stepped specimen increases. Whereas, after incubation period, the growth rate of the adiabatic shear band decreases, as the clearance size decreases. It is also found that two adiabatic shear band may develop instead of one for the smaller clearance size.