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.
Highlights
Based on the theory of surface elasticity, we consider elastic waves scattered by a semicylindrical core-shell structure
Results and Discussion e following is an analysis of the variation of the DSCF
Under the different conditions. e DSCF at the interface of a semicylindrical core-shell structure is usually defined as DSCF σσθθ01, (48)
Summary
Based on the theory of surface elasticity, we consider elastic waves scattered by a semicylindrical core-shell structure. E following displacement potential function can be used to represent the incident P-waves: φ(i)(x, y) expiα1(x sin α − y cos α) − iωt, (20)
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