Strain Rate Effect of Siltstone Under Triaxial Compression and Its Interpretation from Damage Mechanics

Four groups (1 x 10-5/s, 1 x 10-4/s, 1 x 10-3/s and 1 x 10-2/s) of triaxial compression tests at a confining pressure of 30 MPa are carried out to clarify the strain rate effect and damage evolution of siltstone. The elastic modulus, peak stress, strain energy evolution and failure modes of siltstone at different strain rates are analyzed, followed by an interpretation based on statistical damage theory. In the range of the quasi-static strain rate, as the strain rate increases, the elastic modulus, peak stress, total strain energy density and elastic strain energy density at the peak stress of siltstone increase, and the failure mode of the siltstone gradually change from single-plane shear failure to extensile failure. The plastic shear strain is adopted as the random variable of the Weibull distribution to formulate a new statistical damage model, which can better reproduce the post-peak characteristics of the stress-strain curve and interpret the damage evolution process of siltstone; this also reveals that the nonlinear evolution of random variables with axial strain should be considered to capture the post-peak stress-strain curve. The damage variable evolution curves are similar to the dissipated strain energy density curves, which are 'L-shaped'. Finally, a simplified method for determining the influence of strain rate on damage at peak stress Dcr is proposed and discussed. In the range of the quasi-static strain rate, four groups of triaxial compression tests are carried out to reveal the strain rate effect of siltstone.Incorporating the plastic shear strain, a statistical damage model is proposed to better interpret the mechanical behaviour of siltstone.Based on the damage theory, a simplified method for determining the influence of strain rate on damage at peak stress Dcr is proposed.

Automated summary

In this study, four groups of triaxial compression tests are conducted at various strain rates to investigate the strain rate effect and damage evolution of siltstone. The mechanical properties and failure modes of siltstone are analyzed, and a statistical damage model is proposed based on the Weibull distribution. The results show that the strain rate has a significant influence on the elastic modulus, peak stress, and damage evolution of siltstone.