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Research Papers

Upper Bound Analysis of the ECAE Process by Considering Circular Cross-Section and Strain Hardening Materials

[+] Author and Article Information
C. J. Luis Pérez

Department of Mechanical, Energetics, and Materials Engineering, Universidad Pública de Navarra, c/Campus de Arrosadia, s/n 31006 Pamplona, Spaincluis.perez@unavarra.es

R. Luri

Department of Mechanical, Energetics, and Materials Engineering, Universidad Pública de Navarra, c/Campus de Arrosadia, s/n 31006 Pamplona, Spain

J. Manuf. Sci. Eng 132(4), 041003 (Jul 21, 2010) (14 pages) doi:10.1115/1.4001550 History: Received January 03, 2009; Revised April 01, 2010; Published July 21, 2010; Online July 21, 2010

Severe plastic deformation processes have a great deal of importance because of the improvement in mechanical properties of the processed parts as a consequence of the grain size reduction in the material due to the accumulation of deformation. One of the main severe plastic deformation (SPD) processes is called the equal channel angular extrusion (ECAE). Although a large amount of studies, which deal with experimental analysis of processed parts exist, few studies dealing with the force required to perform the process have been developed. In this study, an analytical modeling of the force required to perform the ECAE process has been developed using the upper bound method (UBM). The analytical equations developed take into account the material strain hardening and the ECAE dies with circular cross-section. Moreover, the experimental tests have been performed and the extrusion force has been measured. The UBM and experimental results have been compared showing a great deal of agreement.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 2

ECAE velocity field: (a) traditional ECAE and (b) inverse ECAE

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Figure 9

Stroke curve for an ECAE die, having Rint=0.5 mm, Rext=1.5 mm, D=10 mm, F=90 deg, Linit=80 mm, k=428.18, n=0.1161, and m=0.125

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Figure 10

Extrusion pressure (σ) for ECAE with circular cross-section when 5083-AA is processed: (a) (σ) when (Linit/D) and (Rext/D) varies with (Φ)=90 deg, (Rint/D)=0.25; (b) (σ) when (Linit/D) and (Rint/D) varies with (Φ)=90 deg, (Rext/D)=0.25; (c) (σ) when (Linit/D) and varies with (Rint/D)=0.25, (Rext/D)=0.25 (d) (σ) when (Rint/D) and (Φ) varies with (Linit/D=8), (Rext/D)=0.25; (e) (σ) when (Rext/D) and (Φ) varies with (Linit/D)=8, (Rint/D)=0.25; (f) (σ) when (Rext/D) and (Rint/D) varies with (Linit/D)=8, (Φ)=90 deg

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Figure 11

Principal affects plots for ECAE with circular cross-section when a 5083-AA is processed

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Figure 12

Interaction graphs for ECAE with circular cross-section when 5083-AA is processed

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Figure 3

(a) Geometric parameters for determining the relationship between (r) and (x) in the ECAE dies with Rint<Rext. (b) Geometric parameters for determining the relationship between (r) and (x) in the in the ECAE dies with Rint>Rext.

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Figure 4

Differential of volume (a) ECAE dies with Rint<Rext and (b) ECAE dies with Rint>Rext

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Figure 6

(a) Geometric parameters for determining the contact area in ECAE dies with Rint<Rext and (b) geometric parameters for determining the contact area in ECAE dies with Rint>Rext

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Figure 7

(a) ECAE press, (b) ECAE dies used, and (c) billet and billet before processing

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Figure 8

UBM and experimental extrusion pressure in ECAE process

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