A Novel Linear Relationship for Calculating Dynamic Shear Modulus of Geomaterials

The dynamic shear modulus G of soil was determined using a dynamic triaxial test system（DTTS） together with a fitting method.First,a novel linear relationship between G and damping ratio λ was proposed,which was used to select the appropriate G.Then,a hyperbolic model was constructed using the optimized parameters a and b representing the intercept and slope,respectively,from the linear regression of 1/G and dynamic shear strain γd.Finally,the differences between the tested and predicted results for G were analyzed for different soil types.The experimental results show that this linear relationship can overcome the shortcomings of the nonlinear relationship found in the large deformation stage and can predict λ in the hysteresis loop that is not closed case.In addition to Baoji loess,G was slightly larger（10%） than the experimental curve in the elasto-plastic stage;however,the experimental results show that the attenuation curve of G for Baoji loess is greater than the calculated value in the elasto-plastic stage.The test and analysis results will improve the knowledge of the dynamic properties of soils and also provide reliable values of G for further evaluation of seismic safety at engineering sites.

Molecular kinetic theory of boundary slip on textured surfaces by molecular dynamics simulations

A theoretical model extended from the Frenkel-Eyring molecular kinetic theory(MKT)was applied to describe the boundary slip on textured surfaces.The concept of the equivalent depth of potential well was adopted to characterize the solid-liquid interactions on the textured surfaces.The slip behaviors on both chemically and topographically textured surfaces were investigated using molecular dynamics(MD)simulations.The extended MKT slip model is validated by our MD simulations under various situations,by constructing different complex surfaces and varying the surface wettability as well as the shear stress exerted on the liquid.This slip model can provide more comprehensive understanding of the liquid flow on atomic scale by considering the influence of the solid-liquid interactions and the applied shear stress on the nano-flow.Moreover,the slip velocity shear-rate dependence can be predicted using this slip model,since the nonlinear increase of the slip velocity under high shear stress can be approximated by a hyperbolic sine function.