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Interface stress around a nanosized spherical inhomogeneity under asymmetric dynamic loads

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Abstract

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.

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Authors and Affiliations

  1. Department of Engineering Mechanics, Shijiazhuang Tiedao University, Shijiazhuang, 050043, China

    XueQian Fang, JinXi Liu & ShuMin Duan

  2. Institutes of Engineering Mechanics, Beijing Jiaotong University, Beijing, 100044, China

    LeLe Zhang

Authors
  1. XueQian Fang
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  2. JinXi Liu
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  3. LeLe Zhang
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  4. ShuMin Duan
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Correspondence to XueQian Fang.

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Fang, X., Liu, J., Zhang, L. et al. Interface stress around a nanosized spherical inhomogeneity under asymmetric dynamic loads. Sci. China Phys. Mech. Astron. 55, 1844–1854 (2012). https://doi.org/10.1007/s11433-012-4823-5

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  • DOI: https://doi.org/10.1007/s11433-012-4823-5

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