煤岩损伤能量分析及松弛模型初探

Coal and Rock Damage Energy Analysis and Relaxation Model

摘要: 为了研究煤岩动力灾害发生机理，分析了煤岩损伤过程中的能量关系、应力应变变化规律，推导出了损伤演化微分方程。针对应力松弛过程，建立了7参数煤岩松弛理论模型，并与前人实验数据进行拟合分析。结果表明，滑带土模型参数C=2,n=2.6，γ=0.6 MPa,E₀=1.7 MPa,k=3.6,l=7,j=1.1；粉砂岩的模型参数C=2,n=2,γ=0.41 MPa,E₀=19 900 MPa,k=3,l=1.15,j=1.08，实验曲线与理论曲线拟合吻合程度比较高，验证了模型的正确性。

Abstract: To study the dynamic disaster mechanism of coal and rock, we analyzed energy relation and stress-strain regulations in the process of coal and rock damage, and deduced the damage evolution differential equation. Aiming at the stress relaxation process, the relaxation theoretical model containing seven parameters for coal and rock was established, which was fitted with experimental data. The results show that the slip soil model parameter C=2,n=2.6，γ=0.6 MPa,E₀=1.7 MPa,k=3.6,l=7,j=1.1;the siltstone model parameter C=2,n=2,γ=0.41 MPa,E₀=19 900 MPa,k=3,l=1.15,j=1.08; the fitting match degree of experimental curve and theoretical curve is higher, and the model is validated.