cDepartment of Earth Science and Engineering,
Imperial College, London, United Kingdom
Corresponding author: Ming Tao, mingtao@csu.edu.cn
Abstract: The complex
boundary of the elliptical inclusion rendered it difficult to solve the
problem of wave scattering. In this study, the steady-state response was
analyzed using the wave function expansion method. Subsequently, the
Ricker wavelet was employed as the transient disturbance and Fourier
transform was used to determine the distribution of transient dynamic
stress concentration around the elliptical inclusion. The effects of
wave number, elliptical axial ratio and difference in material
properties on the distribution of the dynamic stress concentration
around the elliptical inclusion were evaluated. The numerical results
revealed that the dynamic stress concentration always appeared at both
ends of the major axis and minor axis of the elliptical inclusion, and
the difference in material properties between the inclusion and medium
influenced the variations in the dynamic stress concentration factor
with the wave number and elliptical axial ratio.
Key words: Scattering, Transient response, Elliptical
inclusion, Dynamic stress concentration.