A micromechanics-based elastic model is developed for two-phase functionally graded materials with locally pair-wise interactions between particles. While the effective material properties change gradually along the gradation direction, there exist two microstructurally distinct zones: particle-matrix zone and transition zone. In the particle-matrix zone, pair-wise interactions between particles are employed using a modified Green’s function method. By integrating the interactions from all other particles over the representative volume element, the homogenized elastic fields are obtained. The effective stiffness distribution over the gradation direction is further derived. In the transition zone, a transition function is constructed to make the homogenized elastic fields continuous and differentiable in the gradation direction. The model prediction is compared with other models and experimental data to demonstrate the capability of the proposed method.
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ASME 2004 International Mechanical Engineering Congress and Exposition
November 13–19, 2004
Anaheim, California, USA
Conference Sponsors:
- Applied Mechanics Division
ISBN:
0-7918-4702-0
PROCEEDINGS PAPER
Micromechanical Modeling of Functionally Graded Composites
G. H. Paulino
G. H. Paulino
University of Illinois at Urbana-Champaign
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H. M. Yin
University of Iowa
L. Z. Sun
University of Iowa
G. H. Paulino
University of Illinois at Urbana-Champaign
Paper No:
IMECE2004-59302, pp. 1-8; 8 pages
Published Online:
March 24, 2008
Citation
Yin, HM, Sun, LZ, & Paulino, GH. "Micromechanical Modeling of Functionally Graded Composites." Proceedings of the ASME 2004 International Mechanical Engineering Congress and Exposition. Applied Mechanics. Anaheim, California, USA. November 13–19, 2004. pp. 1-8. ASME. https://doi.org/10.1115/IMECE2004-59302
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