Proximity Effects in Matrix-Inclusion Composites: Elastic Effective Behavior, Phase Moments, and Full-Field Computational Analysis

This work focuses on the effects of inclusion proximity elastic behavior dilute matrix-inclusion composites. Rigid or soft monodisperse spherical inclusions are considered with moderate volume fractions. To conduct this study, Representative Volume Elements (RVE) an effective local minimum distance between varying sphere’s radius and one-tenth built. Numerical finite element calculations RVE performed. The obtained homogenized properties, as well phase stress moments (first second), compared to Mori–Tanaka estimates, which established for kind composite. fields (stresses) in microstructure respect is also analyzed. It follows that properties converge asymptotically estimates when minimal spheres increases. asymptote seems be reached around a equal radius. Effective behaviors show deviation can achieve even exceed (for second moments) ten percent close. impact inclusions’ proximities more important fields. maximum values (hydrostatic equivalent) than twice high locally.