Homogenization-based analysis methods for predicting the effective properties of composite materials have historically evolved along two main lines: mean-field micromechanics approaches and mathematical homogenization methods based on asymptotic expansions. Our laboratory actively employs both classes of methods and has developed computational frameworks capable of simulating the elastic, thermoelastic, thermal conductive, and elastoplastic behavior of polymer nanocomposites.

In particular, our group has produced leading research outcomes on methodologies that couple molecular dynamics simulations with homogenization-based micromechanics, enabling the systematic transfer of nanoscale information to effective macroscopic material properties. A major focus of our work lies in addressing interface and interphase effects in nanocomposites, including systems reinforced with carbon nanotubes, graphene, and various zero-dimensional inorganic nanoparticles. Within this context, we have extensively investigated defect engineering and interfacial grafting mechanisms, treating these effects in a fully multiscale manner and continuously reporting our findings in peer-reviewed publications.

To support mean-field micromechanics analyses, our laboratory has independently developed an in-house MATLAB-based code suite, the CAU Micro Series. This platform is designed for efficient homogenization and micromechanical property prediction of composite materials. Detailed specifications of the CAU Micro Series are provided below, and following official program registration, the code will be distributed through the laboratory website.