TITLE:
Surface Effects on the Diffraction of P Wave by an Arbitrary Shaped Cavity
AUTHORS:
Zhiying Ou, Hongjun Han
KEYWORDS:
Conformal Mapping, Dynamic Stress Concentration Factor, Irregularly Shaped Cavity, Surface Effect
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.9 No.6,
June
3,
2019
ABSTRACT: This
paper presents the effects of surface effects in the cavity of variable
curvature. The wave function expansion method and the conformal mapping method
are used in the solution of dynamic stress concentration factor around an
irregularly shaped cavity at nano-scale. The stress boundary conditions on the surface
are obtained by using the generalized Young-Laplace equation. The results show
that the degree of stress concentration becomes more obvious with curvature
increasing. Taking the elliptical cavity as an example, the influence of the
ration of the major and minor axis of the ellipse, the numbers of the incident
wave and the surface effects on the dynamic stress concentration factor are
analyzed. The ration of the major and minor axis, the incident wave frequency
and the surface effects show the pronounced effects on the dynamic stress concentration
distributions.