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Optimal Process Design in Hot Forging in Terms of Grain Flow Quality

  • Min Cheol Kim
  • Suk Hwan Chung
  • Man Soo JounEmail author
Article

Abstract

With the improvement in the accuracy of simulation and computation time, the need for the application of optimization technique in designing process parameters is increasing and is being realized in some fields. However, two obstacles are still preventing the optimization technique from being practically used in forging process. The one is the lack of quantification technique of grain flow quality and the other is difficulty in treating 3 dimensional die shape as design parameters. In this study, 3 kinds of quantification technique of grain flow quality, the overlapping index, cutting index and locally sinking index, are introduced based on the relation between grain flow and product quality. Also, a methodology of treating 3 dimensional die shape as the design parameters is introduced using discretized finite element model.

Key Words

Optimal design Forging Grain flow lines Quantification of grain flow quality Parameterization of die geometry 

Nomenclature

xi

axis

δij

Kronecker delta

\(G_{{\rm{pq}}}^{\rm{i}}\)

gradient of grain flow density

\(\overline {{G^1}}\)

overlapping index

ψ0

objective function

ϕi

grain flow function

n

outward directed unit normal vector

Fmax

maximum forming load, kN

\(\overline \varepsilon\)

effective strain

bi

design variable

\(\overrightarrow {{n_0}}\)

rotational axis vector of cylinder

R

radius, mm

C, P

critical points defining geometry

\(\overrightarrow {{n_1}} ,\,\overrightarrow {{t_1}}\)

directional vector between critical points

θ

angle, radian

Si

distance between critical points

tij

j-th component of i-th directional vector

Notes

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Copyright information

© KSAE/112-07 2019

Authors and Affiliations

  • Min Cheol Kim
    • 1
  • Suk Hwan Chung
    • 2
  • Man Soo Joun
    • 1
    Email author
  1. 1.School of Mechanical EngineeringGyeongsang Nation UniversityGyeongnamKorea
  2. 2.R&D TeamMFRCSeoulKorea

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