Effect of Strain Gradients and Heterogeneity on Flow Strength of Particle Reinforced Metal-Matrix Composites

[+] Author and Article Information
D-M. Duan

Department of Mechanical Engineering, The University of Calgary, AB, T2N 1N4, Canada

N. Q. Wu, M. Zhao, W. S. Slaughter, Scott X. Mao

Department of Mechanical Engineering, University of Pittsburgh, Pittsburgh, PA 15261

J. Eng. Mater. Technol 124(2), 167-173 (Mar 26, 2002) (7 pages) doi:10.1115/1.1417487 History: Received September 20, 2000; Revised May 17, 2001; Online March 26, 2002
Copyright © 2002 by ASME
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The cell model for particle reinforced metals. (a) A cubic cell cut from the bulk, (b) and (c) top views of the cells converting from cubic to cylinder one, (d) the converted cylinder cell with a particle in its center, and (e) the cylinder cell deforms in an axisymmetrical manner.
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Schematic representation of the cell deformation in a symmetry cross-sectional plane. (a) Mismatch of deformation along the particle boundary between a pure matrix cell with a uniform deformation field and a cell with a particle, (b) a cell with undeformed boundary, the “to be compensated” mismatched deformation is transferred from the particle boundary to the cell boundary, and (c) the final deformation state of the cell with geometrically necessary dislocations stored due to the indentations.
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Schematic of the reverse indentation deformation on the top surface of the cell. The deformation area, where the geometrically necessary dislocations are stored, is assumed to be a cylinder in between the particle and the cell surface.
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Macro stress against macro strain curves for different particle volume fractions. Other parameters used for the plot are μ=0.3,N=0.4 and the normalized particle radius r̄=r0/l=1.
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Particle size effect on the macro stress response to macro strains. Other parameters used are μ=0.3,N=0.4 and ρ=0.15.
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Parameter f̄ in Eq. (21) is plotted as a function of particle volume fraction for two macro strain levels
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Schematic of actual stress distribution on the modeled cell surface




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