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Research Papers

Numerical Modeling of Second-Phase Particle Effects on Localized Deformation

[+] Author and Article Information
Kaan Inal1

Department of Mechanical and Mechatronics Engineering, University of Waterloo, 200 University Avenue West, ON, N2L 3G1, Canadakinal@mecheng1.uwaterloo.ca

Hari M. Simha

Department of Mechanical and Mechatronics Engineering, University of Waterloo, 200 University Avenue West, ON, N2L 3G1, Canada

Raja K. Mishra

 General Motors Research and Development Center, 30500 Mound Road, Warren, MI 48090-9055

1

Corresponding author.

J. Eng. Mater. Technol 130(2), 021003 (Mar 12, 2008) (8 pages) doi:10.1115/1.2840960 History: Received July 26, 2007; Revised December 16, 2007; Published March 12, 2008

A new finite element analysis based on rate dependent crystal plasticity theory has been developed to investigate the effects of second-phase particles on the initiation and propagation of localized deformation in the form of shear bands. The new model can incorporate electron backscatter diffraction data into finite element analyses. The numerical analysis not only accounts for crystallographic texture (and its evolution) but also accounts for grain morphologies. A unit-cell approach has been adopted where an element or a number of elements of the finite element mesh are considered to represent a single crystal within the polycrystal aggregate. Second-phase particles in the form of finite elements with stiff elastic properties are randomly distributed within the unit cell. Numerical simulations of unixial tension, in-plane plane strain tension, and balanced biaxial tension have been performed by models with and without second-phase particles for a direct chill-cast AA5754 aluminum alloy sheet. The effects of various parameters, such as second-phase particle distribution, texture evolution, and strain paths on particle induced localized deformation patterns, are also investigated.

Copyright © 2008 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Schematic representation of a unit cell

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Figure 2

Initial texture of DC AA5754 aluminum sheet represented by {111} stereographic pole figure

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Figure 3

Electron backscatter diffraction map and inverse pole figure [001] for the DC AA5754 aluminum alloy

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Figure 4

Simulated and experimental true stress-strain curves in uniaxial tension

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Figure 5

The random particle distribution employed in the simulations (2.5% of the unit cell)

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Figure 6

Simulated true stress-strain curves with particles and without particles for ρ=−0.5

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Figure 7

Contours of equivalent plastic shear strain at a strain of 0.22 simulated by (a) WNP model and (b) WP model

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Figure 8

Simulated true stress-strain curves with particles and without particles for ρ=0

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Figure 9

Contours of equivalent plastic shear strain simulated by the WNP model for ρ=0 at strain levels of (a) 0.08, (b) 0.11, and (c) 0.16

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Figure 10

Contours of equivalent plastic shear strain simulated by the WP model for ρ=0 at strain levels of (a) 0.08, (b) 0.11, and (c) 0.16

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Figure 11

Particle enforced shear band direction A-A′ for ρ=0

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Figure 12

Contours of equivalent plastic shear strain simulated by the WNP model for ρ=1 at strain levels of (a) 0.08, (b) 0.11 and (c) 0.16

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Figure 13

Contours of equivalent plastic shear strain simulated by the WP model for ρ=1 at strain levels of (a) 0.08, (b) 0.11 and (c) 0.16

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Figure 14

Schematic representation of particle enforced shear band direction A-A′ for ρ=1

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Figure 15

(a) Texture evolution simulated by the WNP model for ρ=−0.5. (b) Texture evolution simulated by the WP model for ρ=−0.5.

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Figure 16

(a) Texture evolution simulated by the WNP model for ρ=0. (b) Texture evolution simulated by the WP model for ρ=0.

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Figure 17

(a) Texture evolution simulated by the WNP model for ρ=1. (b) Texture evolution simulated by the WP model for ρ=1.

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Figure 18

Contours of equivalent plastic shear strain simulated by the WP model without texture evolution for ρ=0 at a strain of 0.16

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Figure 19

Contours of equivalent plastic shear strain simulated by the WP model without texture evolution for ρ=1 at a strain of 0.16

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Figure 20

Onset of diffuse necking for ρ=−0.5, 0, and 1 predicted by WNP and WP models

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