Predicting the Uniaxial Compressive Response of Granular Media over a Wide Range of Strain Rates Using the Strain Energy Density Concept

摘要

An empirical non-linear method to predict stress–strain response of sand over a wide range of strain rates is presented. The method is inspired by the equivalence of the strain energy density (SED) of the material, at different strain rates. Silica based and calcium based sands were subjected to one-dimensional compression radially constrained tests to calibrate the methodology. Axial stress, axial strain and stiffness are also presented to assess the sensitivity of mechanical properties to strain rate. The observations show that sand under monotonic loading exhibits moderate strain rate dependency. This extent of rate varies with sand composition. There is good agreement between the strain rate behavior obtained from conventional tests and SED predictions derived from the proposed analysis.