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Research Papers

A Micromechanics-Based Elastoplastic Model for Amorphous Composites With Nanoparticle Interactions

[+] Author and Article Information
H. T. Liu

 American Bureau of Shipping, ABS Plaza, Houston, TX 77060

L. Z. Sun1

Department of Civil and Environmental Engineering, University of California, Irvine, CA 92697-2175lsun@uci.edu

1

Corresponding author.

J. Appl. Mech 75(3), 031009 (Apr 08, 2008) (10 pages) doi:10.1115/1.2839899 History: Received February 26, 2007; Revised August 23, 2007; Published April 08, 2008

A constitutive model is proposed to investigate the strengthening mechanism and the relationship between nanostructures and effective mechanical properties of the aluminum-based amorphous nanocomposites. A continuum micromechanics-based, three-phase composite model comprises of Al particles, rare-earth enriched interlayers, and the amorphous aluminum matrix. The local stress field and deformation are formulated based on the concept of eigenstrain and equivalent inclusion method with consideration of both the particle-interlayer-matrix interaction and the particle-particle interaction. An ensemble-volume averaging technique is conducted to obtain the overall elastoplastic constitutive behavior for amorphous nanocomposites with randomly distributed spherical nanoparticles. Explicit expressions of the effective elastic stiffness and yield function in terms of the constituent properties and nanostructures are obtained. The effective elastoplastic stress-strain curves for uniaxial loading and the initial yield surfaces for axisymmetric loading are calculated. Simulations are conducted to investigate the effects of the particle size and pairwise particle interaction on the effective mechanical properties.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

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Figure 1

(a) Schematic representation of the nanostructure of Al-based amorphous nanocomposites with pairwise particle interaction; (b) sketch of a spherical Al nanoparticle domain Ω and RE element enriched interlayer domain Γ embedded in the amorphous matrix domain R

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Figure 2

Overall Young’s modulus of the nanocomposites versus particle volume fraction for nanocomposites with and without considering pairwise particle interaction

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Figure 3

Overall yield strength of the nanocomposites versus particle volume fraction for nanocomposites with and without considering pairwise particle interaction

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Figure 4

Overall uniaxial nanocomposite stress-strain curves

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Figure 5

Overall uniaxial nanocomposite stress-strain curves with various nanoparticle sizes

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Figure 6

Particle size effect on the overall yield strength of the nanocomposites with different interlayer thicknesses

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Figure 7

Overall initial yield surfaces of the nanocomposites under axisymmetric loading

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