Reduced Micromorphic Model for Multiscale Materials

In this study, a reduced micromorphic model for multiscale materials is developed. In the context of this model, multiscale materials are modeled with deformable microstructures. The deformation energy is formed depending on microstrain and macroscopic strain residual fields. The constitutive equations according to the reduced micromorphic model only depend on eight material coefficients for linear elastic materials. These material coefficients are related to the material micro/macro-stifnesses and the material’s microstructural features.

This work is under review in "Composite Structures".

A bandgap map of the evolution of the absolute phononic bandgaps in an epoxy-silicon phononic material (with the epoxy is the matrix material in which silicon is embedded) with the increase in the silicon filling factor. Shaded region denotes the forbidden frequencies.