Abstract

To obtain the dynamic mechanical properties of frozen sandstone at different temperatures (i.e., 20°C, −10°C, −20°C, and −30°C), dynamic uniaxial compression tests of saturated sandstone are conducted using a split‐Hopkinson pressure bar. The experimental results demonstrated that the brittleness of the saturated sandstone increased and its plasticity weakened with a decrease in temperature. The peak strength and dynamic elastic modulus of the sandstone were positively correlated with its strain rate. The peak stress was most sensitive to the strain rate at −10°C, and the elastic modulus was most sensitive to the strain rate at −30°C. According to the evident segmentation characteristics of the obtained stress‐strain curve, a viscoelastic dynamic constitutive model considering the strain rate effect and temperature effect is developed; this model combines a nonlinear (or linear) body and a Maxwell body in parallel with a damage body. The applicability of the constitutive model is also verified using experimental data. The fitting results were demonstrated to be in good agreement with the experimental results. Furthermore, the fitting results serve as reference for the study of the constitutive model of weakly cemented soft rock and the construction of roadway freezing methods.

Highlights

  • Introduction eJurassic coal seam in western China is covered in thick cretaceous water-rich sandstone

  • Test Principle. e basic principle of the split-Hopkinson pressure bar (SHPB) system is the propagation theory of stress waves in an elastic rod, which is based on the one-dimensional (1D) elastic wave hypothesis and uniformity hypothesis

  • Dynamic Elastic Modulus Analysis. e elastic modulus of the rock has an evident correction to the strain rate in the impact test. erefore, the elastic modulus can be defined as the secant slope of 40%∼60% or a tangent slope at 50% of the peak stress

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Summary

Sandstone Impact Compression Test

En, the UTA-2000A ultrasonic analyzer was used to select rock samples with similar longitudinal wave velocities as the test samples. E basic principle of the SHPB system is the propagation theory of stress waves in an elastic rod, which is based on the one-dimensional (1D) elastic wave hypothesis and uniformity hypothesis. Where εI(t), εR(t), and εT(t) are the incident strain, the reflected strain, and the transmitted strain during impact, respectively; Ec, Ac, and Cc are the modulus of elasticity, the cross-sectional area, and the longitudinal wave velocity of the bar, respectively; and As and ls are the cross-sectional area and the length of the sample, respectively. E impact velocities of the striker were determined to be 3.0 m/s, 3.5 m/s, 3.8 m/s, 4.6 m/s, 5.2 m/s, and 6.0 m/s based on the monitoring data at different positions of the frozen wall during tunneling at the construction site.

Dynamic Analysis of Sandstone
Elasticity So ening
Findings
Establishment of Constitutive Model considering Temperature Effects
Full Text
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