Normalized Shear Modulus and Material Damping Ratio Relationships

TLDR

Predictive equations for estimating normalized shear modulus and material damping ratio of Quaternary, Tertiary, older, and residual/saprolite soils are presented. The equations are derived from a modified hyperbolic model and statistical analysis of 122 Resonant Column and Torsional Shear test results, using shear‑strain amplitude, confining stress, plasticity index, and a polynomial function of normalized shear modulus, with uncertainties quantified by point‑estimate and illustrated by a Charleston case study. Quaternary soils show greater linearity, the plasticity index has a smaller effect than previously thought, and all groups exhibit significant confining‑stress‑dependent variations similar to Stokoe et al.

Abstract

Predictive equations for estimating normalized shear modulus and material damping ratio of Quaternary, Tertiary and older, and residual/saprolite soils are presented in this paper. The equations are based on a modified hyperbolic model and a statistical analysis of existing Resonant Column and Torsional Shear test results for 122 specimens obtained from South Carolina, North Carolina, and Alabama. Variables used in the equations for normalized shear modulus are: shear-strain amplitude, confining stress, and plasticity index (PI). The equations for damping ratio are expressed in terms of a polynomial function of normalized shear modulus plus a minimum damping ratio. It is found that the Quaternary soils exhibit more linearity than soils of the other two groups. Also, it is found that the effect of PI on dynamic soil behavior is not as significant as previously thought. Data from all three groups exhibit significant variations with confining stress, similar to the variations determined by Stokoe et al. The uncertainties associated with the equations for PI of 0 and mean effective confining stress of 100kPa are quantified using the point estimate method. A case study from Charleston, S.C. is provided to illustrate an application of the equations to seismic response analysis and the importance of considering confining stress and geologic age.