Abstract：Firstly，on the basis of discussion on current analysis methods in soil dynamic responses，the dynamic stress-strain characteristics of sandy soil is revealed by systematical dynamic triaxial tests under fully drained condition with constant spherical stress but cyclic deviator stress，constant deviator stress but cyclic spherical stress as well as cyclic spherical and deviator stresses. These constitutive relationships are further combined with the framework of transient dynamic theory with a total(static and dynamic) effective stress space divided into different zones by critical state line，phase transformation line，and stress space divided into different zones by critical static state，phase transformation line and stress historical line. The constitutive model can be used to consider the sandy soil properties of nonlinearity，hardening，shear dilatation-contraction，compression-swelling，and stress path dependence and coupling of spherical stress with deviator stress. The study is performed upon the relationships of spherical stress-volumetric strain，spherical stress-deviatoric strain，and deviatoric stress-deviatoric strain. In additional，the fundamental of a 3D dynamic consolidation with governing equations based on the basis of transient dynamic theory is introduced with effective stress and dynamic constitutive relationships of physical states. Also，it is established with the coupling of dynamic response with dynamic consolidation，the coupling of static stress and dynamic stress，the coupling of pore water pressure generation，pore water pressure diffusion，and dissipation to simulate true process of stress-strain response of sandy soils and form a complete theoretical framework system of seismic response analysis approach based on effective stress and physical states of sandy soils.
