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TECHNICAL PAPERS

Optimized Upper Bound Analysis of Axisymmetric Extrusion Using Spherical Velocity Field

[+] Author and Article Information
Der-Form Chang

 Automatic Spring Coiling, Chicago, IL

Jyhwen Wang1

Department of Engineering Technology and Industrial Distribution, Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843jwang@tamu.edu

1

To whom correspondence should be addressed.

J. Manuf. Sci. Eng 128(1), 4-10 (Jun 14, 2005) (7 pages) doi:10.1115/1.2112947 History: Received January 14, 2004; Revised June 14, 2005

This paper presents an upper bound approach to analyze axisymmetric extrusion processes. A cylindrical and a spherical coordinate system are defined to represent the die geometry and the velocity field, respectively. For various curved dies, minimized upper bound results can be obtained by relating these two coordinate systems. Based on this modeling technique, the effects of die geometry, reduction ratio, and friction are investigated. Axisymmetric extrusion through various curved dies can be easily optimized with the proposed methodology.

FIGURES IN THIS ARTICLE
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Copyright © 2006 by American Society of Mechanical Engineers
Topics: Friction , Extruding
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Figures

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Figure 1

Extrusion through a curved die. Process parameters used in this analysis are indicated.

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Figure 2

Effect of origin of the spherical coordinate system on extrusion power of the conical die

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Figure 3

Effect of die semiangle, friction, and radius ratio on extrusion power of the conical die

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Figure 4

Effect of friction and radius ratio on the optimized die semiangle of the conical die

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Figure 5

Effect of origin of the spherical coordinate system on extrusion power of the spherical die

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Figure 6

Effect of die radius, friction, and radius ratio on extrusion power of the spherical die

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Figure 7

Effect of friction and radius ratio on the optimized die radius of the spherical die

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Figure 8

Effect of radius ratio and friction on extrusion power of the streamlined die

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Figure 9

Effect of die length, friction, and radius ratio on extrusion power of the streamlined die

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Figure 10

Effect of friction and radius ratio on the optimized die length of the streamlined die

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