Micromechanics Modeling of Functionally Graded Materials Containing Multiple Heterogeneities

Abstract

Functionally graded materials graded continuously and discretely, and are modeled using modified Mori-Tanaka and self-consistent methods. The proposed micromechanics model accounts for multi-phase heterogeneity and arbitrary number of layers. The influence of geometries and distinct elastic material properties of each constituent and voids on the effective elastic properties of FGM is investigated. Numerical examples of different functionally graded materials are presented. The predicted elastic properties obtained from the current model agree well with experimental results from the literature.