Effective mechanical properties of solid filled by hollow nanospheres

The hollow nanospheres with scientific and technologicalinterest can be used as fillers in preparation of composite materials. Ingeneral, hollow nanospheres have more significant surface effect in filledmaterials than solid nanoparticles. The objective of this paper is toresearch the influence of surface/interface stress on the mechanicalbehavior of solid containing hollow nanospheres. Based on the generalizedself-consistent principle, a four phase model incorporatingsurface/interface stress effect is developed to derive the elastic fields ofthe solid under uniaxial loading and to obtain the closed-form solutions forthe effective elastic constants of the solid. In addition, the sizedependence of nanocomposites is also analyzed. The numerical results showthe difference from the classical results of the effective elastic constantsand the circumferential stress. Furthermore, the effective mechanicalproperties of the solid are dependent on the volume fraction, thesurface/interface properties, the outer radius and the wall thickness of thehollow nanosphere. The results of this paper are helpful to fabricate thecomposite materials with hollow nanospheres.