Interface stress around a nanosized spherical inhomogeneity under asymmetric dynamic loads

• Published in: Science China. Physics, mechanics & astronomy mechanics & astronomy, 2012-10, Vol.55 (10), p.1844-1854
• Main Authors: Fang, XueQian, Liu, JinXi, Zhang, LeLe, Duan, ShuMin
• Format: Article
• Language: English
• Subjects: Astronomy; Asymmetry; Classical and Continuum Physics; Design optimization; Dynamic loads; Exact solutions; Incident waves; Inhomogeneity; Interfacial stresses; Legendre functions; Material properties; Nanocomposites; Observations and Techniques; Physics; Physics and Astronomy; Spherical waves; Stress concentration; Wave functions; 不均匀性; 动态负载; 对称条件; 应力集中系数; 球形; 界面应力; 纳米复合材料; 连带勒让德函数
• ISSN: 1674-7348; 1869-1927
• DOI: 10.1007/s11433-012-4823-5

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.