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.