Interaction Between Fractional Viscoelastic Saturated Soils and Plates

Abstract:

Based on the solution of multilayered fractional viscoelastic cross-anisotropic saturated soils， the boundary element-finite element coupling method is utilized to investigate the interaction between the plate and viscoelastic saturated soils. First， based on the Mindlin’s plate theory， the total stiffness matrix equation of the plate is obtained. Then， the precise integration solution of fractional viscoelastic saturated soils is introduced to obtain the flexibility matrix equation of soils. Finally， according to the coordination conditions of the plate-soil nodes， the solution of the interaction between the viscoelastic saturated soils and the plate is obtained. The proposed solution in this paper is verified by comparing with that of the literature. Moreover， the effects of the soil parameters and the reinforcement depth of soils on the time-dependent interaction between the raft and viscoelastic soils are analyzed.