TITLE:
Dynamic Analysis of Nanosized Arbitrary Shape Inclusion under SH Waves
AUTHORS:
Yongqiang Sun
KEYWORDS:
SH Waves, Arbitrary Shape Inclusion, Conformal Transformation, Surface Effect, Dynamic Stress Concentration Factor
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.12 No.8,
August
18,
2022
ABSTRACT: The scattering of shear waves (SH
waves) by nano-scale arbitrary shape inclusion in infinite plane is studied by
complex variable function theory. Firstly, the governing equation and the
relationships between stress and displacement are given by classical elastic
theory. Secondly, the arbitrary shape inclusion in the two-dimensional plane is
transformed into a unit circle domain by conformal mapping, the incident wave
field and the scattered wave field are presented. Next, the stress and
displacement boundary conditions are established by considering surface
elasticity theory, The infinite algebraic equations for solving the unknown
coefficients of the scattered and standing waves are obtained. Finally, the
influence of surface effect, non-dimensional wave number, Shear modulus and hole
curvature on the dynamic stress concentration factor are analyzed by some
examples, the numerical results show that the surface effect weakens the
dynamic stress concentration. With the increase of wave number, the dynamic
stress concentration factor (DSCF) decreases. Shear modulus and hole curvature have significant
effects on DSCF.