For the problems in soil dynamics and geotechnical earthquake engineering
their characteristics and methods for studying them are presented. The study advances and development trends are reviewed; and the frontiers and science problems required to study in this discipline are proposed
from the following six respects
i.e. the dynamic properties and constitutive theory of soil; the liquefaction of saturated soil under dynamic loading; the seismic deformation and stability analyses of soil-rock mass; the dynamic soil-structure interaction; the numerical analysis method; and the physical model test and technology. It hopes that this review can have a good effect on the future research works in this field.