Upper-bound elemental technique (UBET) with convex circular parallelepiped and convex spherical elements for three-dimensional forging analysis

Rong-Shean Lee, Chin Tarn Kwan

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

In this study, two kinematically admissible velocity fields are derived for the proposed three-dimensional convex circular parallelepiped and convex spherical UBET elements. Those elements are applied to three-dimensional closed-die forging having convex curve surfaces; the capability of the proposed elements is then demonstrated. From the derived velocity fields, the upper-bound loads on the upper die and the velocity field are determined by minimizing the total energy consumption with respect to some chosen parameters. Also, experiments of two closed-die forgings are performed with commercial pure lead billets at the ambient temperature. The theoretical predictions of the forming load correlated well with the experimental results. The results in this study confirm that the elements proposed in this work can effectively be used to predict the forming load accurately in three-dimensional closed-die forging with convex curve surfaces.

Original languageEnglish
Pages (from-to)1053-1067
Number of pages15
JournalInternational Journal of Machine Tools and Manufacture
Volume37
Issue number8
DOIs
Publication statusPublished - 1997 Jan 1

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Forging
Energy utilization
Lead
Experiments
Temperature

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Industrial and Manufacturing Engineering

Cite this

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abstract = "In this study, two kinematically admissible velocity fields are derived for the proposed three-dimensional convex circular parallelepiped and convex spherical UBET elements. Those elements are applied to three-dimensional closed-die forging having convex curve surfaces; the capability of the proposed elements is then demonstrated. From the derived velocity fields, the upper-bound loads on the upper die and the velocity field are determined by minimizing the total energy consumption with respect to some chosen parameters. Also, experiments of two closed-die forgings are performed with commercial pure lead billets at the ambient temperature. The theoretical predictions of the forming load correlated well with the experimental results. The results in this study confirm that the elements proposed in this work can effectively be used to predict the forming load accurately in three-dimensional closed-die forging with convex curve surfaces.",
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Upper-bound elemental technique (UBET) with convex circular parallelepiped and convex spherical elements for three-dimensional forging analysis. / Lee, Rong-Shean; Kwan, Chin Tarn.

In: International Journal of Machine Tools and Manufacture, Vol. 37, No. 8, 01.01.1997, p. 1053-1067.

Research output: Contribution to journalArticle

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