The generalized Hashin–Shtrikman approach to Al/nano-TiC composite

Abstract

The Hashin–Shtrikman approach is generalized and applied to a class of two-phase two-dimensional random macroscopically isotropic composites. The classic theory of the coated Hashin–Shtrikman assemblage (HSA) is extended to inhomogeneous complicated geometric structures. The first model is developed to the inhomogeneous core. The second model is constructed by introduction of the coating envelope considered as an HSA in another scale. The simulation explicitly demonstrates the dependence of the macroscopic properties of nanocomposites manufactured by Self-Propagating High-Temperature Synthesis in Bath on their geometrical structure. The models can be applied to optimal design problems to control the composite crystallization and solidification process by adding the moderator.