Effective properties of particulate nano-composites including Steigmann–Ogden model of material surface

Abstract The objective of this work is inclusion the Steigmann-Ogden interface in Method Conditional Moments to investigate influence surface effects on effective properties random particulate composites. particular focus centered accounting for bending stiffness. To end, notion energy-equivalent inhomogeneity developed Gurtin–Murdoch generalized include contribution. crucial aspect that generalization identification formula defining energy associated with bending. With help formula, real nano-particle and its are replaced by equivalent incorporating effects. Closed-form expressions moduli a composite matrix randomly distributed spherical inhomogeneities derived. normalized shear nanoporous material as function void volume fraction analyzed evaluated context other theoretical predictions.