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Research Papers

Upper Bound Analysis of the ECAE Process by Considering Strain Hardening Materials and Three-Dimensional Rectangular Dies

[+] Author and Article Information
R. Luri

Manufacturing Engineering Section, Mechanical, Energetics and Materials Engineering Department, Public University of Navarre, Campus de Arrosadia s/n, 31006 Pamplona, Spain

C. J. Luis Pérez

Manufacturing Engineering Section, Mechanical, Energetics and Materials Engineering Department, Public University of Navarre, Campus de Arrosadia s/n, 31006 Pamplona, Spaincluis.perez@unavarra.es

J. Manuf. Sci. Eng 130(5), 051006 (Aug 14, 2008) (12 pages) doi:10.1115/1.2844590 History: Received October 05, 2006; Revised January 07, 2008; Published August 14, 2008

Equal channel angular extrusion (ECAE) or pressing is a process used to introduce severe plastic deformations to processed materials with the aim of improving their mechanical properties by reducing the grain size. At present, there are no analytical studies that have considered strain hardening materials in order to determine the required force to carry out the process. All the existing papers have only considered nonstrain hardening materials. Furthermore, all those studies have been done by considering plane strain conditions. In this work, an upper bound analysis of the required force for performing the ECAE process is made by considering a full three-dimensional geometry with a rectangular cross section. From this analysis, the influence of the geometric and the material parameters is studied by considering both friction and strain hardening materials. By using the upper bound method, an analytical formulation was obtained and the influence of all the parameters was determined. With this work, it is possible to have a wider knowledge of the influence of the main affecting parameters in the ECAE process and to optimize them.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

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Figure 1

(a) ECAE die when Rint<Rext. (b) ECAE die when Rint<Rext.

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Figure 2

Iwahashi’s ECAE die geometry

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Figure 3

(a) ECAE die when Rint<Rext. (b) ECAE die when Rint<Rext.

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Figure 4

(a) ECAE die when Rint<Rext. (b) ECAE die when Rint<Rext.

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Figure 5

(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 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. (b) Geometric parameters for determining the contact area in ECAE dies with Rint>Rext.

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Figure 7

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

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Figure 8

Response surface of the extrusion pressure (σ) when Linit∕D and Rext∕D vary and Rint∕D=0.25, Φ=90deg, and w∕D=1

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Figure 9

Response surface of the extrusion pressure (σ) when Linit∕D and Rint∕D vary with Rext∕D=0.25, Φ=90deg, and w∕D=1

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Figure 10

Response surface of the extrusion pressure (σ) when Linit∕D and Φ vary with Rext∕D=0.25, Rint∕D=0.25, and w∕D=1

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Figure 11

Response surface of the extrusion pressure (σ) when Φ and Rint∕D vary with Rext∕D=0.25, Linit∕D=8, and w∕D=1

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Figure 13

Response surface of the extrusion pressure (σ) when Rint∕D and Rext∕D vary with Φ=90deg, Linit∕D=8, and w∕D=1

Grahic Jump Location
Figure 12

Response surface of the extrusion pressure (σ) when Φ and Rext∕D vary with Rint∕D=0.25, Linit∕D=8, and w∕D=1

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