Effective properties and elastic stress field of two-scale composite ceramics

Analysis of the effective properties and elastic stress field in two-scale composite ceramics as mechanical properties analyzer can be a daunting task to handle. Here, we address the most prominent hurdles, namely, the complex structure characteristics of dual-scale multiphase ceramics. We propose two-scale matrix-inclusion model and conducts the mechanical properties analysis of two types of scale interfaces to improve calculation accuracy. Our model estimates the different field at the nano-interface under different applied loadings, along with the considering on continuous condition of stress and displacement at nano-interface and the condition of far-field stress-strain. We show how to solve the problem of solving the elastic field of a thin interface layer into a problem of solving the incompletely combined interface elastic field under different conditions, analyzing the slip stress field of the meso-contact interface under longitudinal and transverse shear. •Proposed the analysis model of the effective properties and elastic stress field in two-scale composite ceramics.•The nano perfect interface model was established regarding on the nano structure characteristics of multiphase ceramics.•The microscopic contact interface model was established based on the weak connection characteristics of micro-interface.