• 제목/요약/키워드: Barlat

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Performance Evaluation of Barlat's and BBC Yield Criteria based on Directionalities of R-values and Yield Stresses

  • 로얀산;배기현;이창수;박충희;허훈
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2009년도 추계학술대회 논문집
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    • pp.277-280
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    • 2009
  • This paper deals with the performance evaluation of Barlat's and BBC yield criteria by the directional variation prediction of the yield stresses and the R-values. for the evaluation of yield criteria, three kinds of Aluminum alloys and two kinds of steels were selected and their material properties are from Stoughton and Yoon's work. The experimental data required for the parameter evaluation included the uniaxial yield stresses and R-values (width-to-thickness strain ratio in uniaxial tension) measured in rolling direction, diaganol direction and the transverse direction, the equibiaxial yield stress and the R-value of equibiaxial tension. The optimization method, the Downhill Simplex method, was selected for the coefficient identification of Barlat91, Barlat97 and Barlat2000 yield criteria. Yield surface shapes, yield stress and R-value directionalities of Barlat's and BBC yield criteria were investigated and compared with the experimental data. Barlat2000 and BBC yield criteria were extremely qualified for the shape of the yield surface and the directionality of the yield stresses and the R-values.

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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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Strain Path Dependence of Forming Limits Predicted by Barlat and Lians Non-Quadratic Anisotropic Yield riterion for Sheet Materials

  • Kim, Young-suk;Son, Hyun-sung
    • Journal of Mechanical Science and Technology
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    • 제15권2호
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    • pp.210-216
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    • 2001
  • This paper presents an analytical study that can predict the path-dependent forming limit of anisotropic sheet materials that experience various combinations of strain paths. To predict the forming limit diagrams(FLD), the proposed analytical procedure is performed within the framework of the Marciniak and Kuczynski(M-K) approach by using the Barlat and Lians non-quadratic anisotropic yield criterion and introducing the effect of the existence of a strain gradient over a stretching punch. The predicted path-dependent forming limit of an anisotropic sheet has been compared with the published experimental results. It has been found that the predicted path-dependent forming limits are in good agreement with the experimental data.

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원통컵 디프드로잉 공정의 귀발생 예측 (Prediction of Earings in the Deep Drawing Processes of a Cylindrical Cup)

  • 이승열;이승열;금영탁;정관수;박진무
    • 소성∙가공
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    • 제4권3호
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    • pp.222-232
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    • 1995
  • The planar anisotripic FEM analysis for predicting earing profiles and draw-in amounts in the deep-drawing process is introduced. An implicit, incremental, updated Lagrangian formulation with a rigid-viscoplastic constitutive equation is employed. Contact and friction are considered through the mesh-based unit vector and normal contact pressure. The consistent full set of governing relations, which is comprising euilbrium and geometric constraint equations, is appropriately linearized. Barlat's strain-rate potential is employed, whose in-plane anisotropic properties are taken into account with anisotropic coefficients and potential parameters. The linear triangular membrane elements are used for depicting the formed sheet. In the numerical simulations of deep drawing processes of a flat-top cylindrical cup for 2090-T3 aluminum alloy sheet show good agreement with experiments, although some discrepancies were observed in the directional trend of cup height and thickness strains.

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평면 이방성 박판 딥드로잉 공정의 귀발생 예측 (Earing Predictions in the Deep-Drawing Process of Planar Anisotropic Sheet-Metal)

  • 이승열;금영탁;정관수;박진무
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1994년도 춘계학술대회 논문집
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    • pp.118-128
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    • 1994
  • The planar anisotropic FEM analysis for predicting the earing profiles and draw-in amounts in the deep-drawing processes is introduced. An implicit, incremental, updated Lagrangian formulation with a rigid-viscoplastic constitutive equation is employed. Contact and friction are considered through the mesh-based unit vectors and the normal contact pressure. the consistent full set of governing relations, comprising equilibrium and geometric constraint equations, is appropriately linearized. Barlat's strain-rate potential is employed, whose in-plane anisotropic properties are taken into account with anisotropic coefficients and potential parameter. The linear triangular membrane elements are used for depicting the formed sheet. with the numerical simulations of deep drawing processes of flat-top cylindrical cup for the 2090-T3 aluminum effects on the earing behavior are examined. Earing predictions made for the 2090-T3 aluminum alloy sheet show good agreement with experiments, although some discrepancies were observed in the directional trend of cup height and thickness strains.

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알루미늄 합금박판 비등온 성형공정 스프링백 해석용 유한요소 프로그램 개발 (2부 : 이론 및 해석) (Development of Finite Element Program for Analyzing Springback Phenomena of Non-Isothermal Forming Processes for Aluminum Alloy Sheets (Part2 : Theory & Analysis))

  • 금영탁;한병엽
    • 소성∙가공
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    • 제12권8호
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    • pp.710-717
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    • 2003
  • The implicit, finite element analysis program for analyzing the springback in the warm forming process of aluminum alloy sheets was developed. For the description of planar anisotropy in warm forming temperatures, Barlat's yield function is employed, and the power law type constitutive equation is used in terms of working temperatures for the depiction of work hardening in high temperatures. Also, Jetture's 4-node shell elements are introduced for reflecting the mechanical behavior of aluminum alloy sheet and the non-steady heat balance equations are solved for considering heat gain and loss during the forming process. For the springback evaluation, Newton-Raphson iteration method is introduced for overcoming the geometric nonlinearlity problem. In order to verify the validity of the FEM program developed, the stretching bending and springback processes are simulated. Though springback analysis results are slightly bigger than experimental ones, they have the same trend of the decreasing springback as the forming temperature increases.

알루미늄 합금박판 비등온 성형공정 스프링백 해석용 유한요소 프로그램 개발 (2부 : 이론 및 해석) (Development of Finite Element Program for Analyzing Springback Phenomena of Non-isothermal Forming Processes for Aluminum Alloy Sheets (Part II : Theory & Analysis))

  • 금영탁;한병엽
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2003년도 제4회 박판성형 심포지엄
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    • pp.13-20
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    • 2003
  • The implicit, finite element analysis program for analyzing the springback in the warm forming process of aluminum alloy sheets was developed. For the description of planar anisotropy in warm forming temperatures, Barlat's yield function is employed, and the power law type constitutive equation is used in terms of working temperatures fur the depiction of work hardening in high temperatures. Also, Jetture's 4-node shell elements are introduced for reflecting the mechanical behavior of aluminum alloy sheet and the non-steady heat balance equations are solved for considering heat gain and loss during the forming process. For the springback evaluation, Newton-Raphson iteration method is introduced for overcoming the geometric nonlinearlity problem. In order to verify the validity of the FEM program developed, the stretching bending and springback processes are simulated. Though springback analysis results are slightly bigger than experimental ones, they have the same trend of the decreasing springback as the forming temperature increases.

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압축-인장 비대칭을 고려한 AZ31 튜브의 압괴해석 (FE Simulation of Axial Crushing Test for AZ31 Tube Considering Tension-Compression Asymmetry)

  • 윤종헌;이정환
    • 대한기계학회논문집A
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    • 제36권9호
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    • pp.997-1002
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    • 2012
  • 수송기기의 연비향상과 에너지 절감을 위하여 자동차 업계를 비롯한 각종 산업 전반에 마그네슘 합금의 적용이 확대되고 있는 추세이다. 조밀육방 격자 구조(HCP)를 갖는 마그네슘 합금의 경우, 낮은 성형성과 강한 소성 비대칭성 및 소성 이방성으로 인하여 실제 부품의 적용에 많은 제약조건이 수반되고 있다. 본 논문에서는 CPB06 항복함수를 이용하여 AZ31의 인장-압축 비대칭성을 모델링하고 이를 이용하여 AZ31 튜브의 압괴해석을 수행하고자 하였다.