Macroscopic Mechanical Properties of Periodic Nanocomposites Containing Arbitrarily-Shaped Inclusions

This study presents an in-depth analysis of the macroscopic mechanical properties of periodic nanocomposites containing arbitrarily-shaped inclusions, with a particular focus on the effective stiffness and its dependence on microstructural parameters. We employ a complex variable method to address the problem, considering the interface elasticity effect, which may significantly influence the stress distribution and overall stiffness of the nanocomposites. The research reveals that the effective stiffness of the nanocomposites is not only dependent on the volume fraction and shape of the inclusions but also on the interface properties, particularly the interface elasticity parameter. Our findings indicate that an increase in the interfacial elasticity parameter KS results in a stiffer composite, highlighting the importance of interfacial effects in determining the mechanical behavior of nanocomposites. The study also explores the impact of inclusion size and orientation on the effective stiffness, demonstrating size-dependent phenomena and the influence of orientation angle on the stiffness elements. These insights contribute to a better understanding of the mechanical properties of nanocomposites and provide a foundation for the design of materials with tailored properties for specific engineering applications.