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Glaucio H. Paulino A micromechanics-based elastic model is developed for two-phase functionally graded materials (FGMs) 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 and their gradients 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 in the gradation direction. The model prediction is compared with available experimental data to demonstrate the capability of the proposed method. Acknowledgements: Prof. Paulino would like to acknowledge his co-authors, Prof. L.Z. Sun and Dr. H.M. Yin, from the University of Iowa, and also the National Science Foundation under the project CMS-0333576. |
