Interface stress around a nanosized spherical inhomogeneity under asymmetric dynamic loads

In the design and optimization of nanocomposites, the surface/interface stress arising at the inhomogeneity-matrix boundary plays an important role in determining the strength of structures. In this paper, the effect of surface/interface stress on the dynamic stress around a spherical inhomogeneity subjected to asymmetric dynamic loads is investigated. The surface/interface stress effects are taken into account by introducing Gurtin-Murdoch surface/interface elasticity model. The analytical solutions to displacement potentials are expressed by spherical wave function and associated Legendre function. The dynamic stress concentration factors around the spherical nano-inhomogeneity are illustrated and analyzed. The effects of the incident wave number, and the material properties of the interface and inhomogeneity on the dynamic stress around the inhomogeneity are examined.