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Scattering of Incident P-Waves by a Semicylindrical Core-Shell Structure in an Elastically Constrained Half-Space at Nanoscale

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  • R. Zhang
  • D. X. Lei
  • Z. Y. Ou

Abstract

Under the premise of the theory of surface elasticity, the scattering of plane compressional waves (P-waves) in the surface of a semicylindrical core-shell structure within the nanoscale elastic confinement half-space is studied by using the method of eigen-function expansion. The generalized Y-L equation is used to give the nanoscale boundary conditions, and the dynamic stress concentration factor (DSCF) along the interface of core-shell structure induced by the plane elastic wave are derived and numerically evaluated. Under different incident wave frequencies, surface energy, and shear modulus, when the radius of the core-shell structure is reduced to the nanometer level, their influence on the DSCF is very significant. These have been confirmed by numerical calculations.

Suggested Citation

  • R. Zhang & D. X. Lei & Z. Y. Ou, 2020. "Scattering of Incident P-Waves by a Semicylindrical Core-Shell Structure in an Elastically Constrained Half-Space at Nanoscale," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-11, June.
    • Handle: RePEc:hin:jnlmpe:5350269
    DOI: 10.1155/2020/5350269
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