Effect of Gas Pressure on Energy Behavior of Coal Under Cyclic Loading and an Energy-Based Constitutive Model
摘要
The failure of gas-bearing coal (GBC) under cyclic loading and unloading (CLU) is an instability phenomenon driven by energy. To understand the effect of gas pressure on energy behavior of coal under CLU, a series of CLU tests of coal with different gas pressures are performed using the MTS816 rock mechanics test system and a self-developed gas-sealed cans, the evolution and distribution laws of total input energy (U), elastic energy (Ue), and dissipated energy (Ud) are analyzed. Then, an energy-based constitutive model considering the coupled effects of gas and loading is developed and the model rationality is verified by experimental data. The results show that U, Ue and Ud all show a non-linear increasing trend as the stress ratio increases. U is mainly stored in the form of Ue and the average energy storage ratio of GBC gradually decreases with the increasing gas pressure. The root mean squared errors between the theoretical and experimental results are less than 0.15 and R-squared values are greater than 0.99, indicating good consistency between the constitutive model and experimental data. The newly proposed constitutive model can well describe the deformation behavior of GBC, providing a theoretical guidance for revealing the failure mechanism of GBC.