考虑加速蠕变的巷道围岩蠕变损伤模型

    Creep damage model of roadway surrounding rock considering accelerated creep

    • 摘要: 为了研究岩石变形的长期变化规律,开展了不同荷载作用下岩石的蠕变试验。将蠕变模型与经典的蠕变曲线各个阶段一一对应起来,提出一种确定考虑加速蠕变的岩石蠕变损伤模型参数的方法,分析蠕变模型参数与应力之间的变化规律,建立应力与蠕变参数之间的表达式,并建立了改进后考虑加速蠕变的岩石蠕变损伤模型。采用试验曲线与模型曲线相互对比,通过分析试验曲线和模型曲线的吻合度对模型的合理性进行验证。研究结果表明:所建立的蠕变模型曲线与加速试验曲线的吻合度很高。这一发现表明所建立的模型可以克服传统西原模型无法描述加速蠕变的缺点。此外,该模型较好地预测了岩石在高应力作用下的加速蠕变特性。而σ/Ee的变化规律随着应力的增大而增大,这说明了岩石瞬时应变是不断增大的。随着应力的增加,Eve/ηve的变化趋势呈现增加的趋势,Eve/ηve主要控制黏弹性变化。黏滞系数ηvp随着应力的增加呈现减小的趋势,σ/ηvp随着应力的增加呈现增加的趋势。黏滞系数ηac随着应力的增加呈现减小的趋势,这一现象较好地反映了加速蠕变会随着应力的增加而持续增大,σ/ηac随着应力的增加呈现增加的趋势。损伤系数βac随着应力的增大而逐渐减小,然而σ/βac呈现逐渐增大的趋势。

       

      Abstract: In order to study the long-term change law of rock structure, the creep test of rock structure under different loads is carried out. A method for determining the parameters of rock creep damage model considering accelerated creep is proposed by matching the creep model with each stage of the classical creep curve one by one. The change rule between creep model parameters and stress is analyzed, and the expression between stress and creep parameters is established. An improved creep damage model of rock considering accelerated creep is established. Test curves and model curves are used to compare with each other, and the reasonableness of the model is verified by analyzing the agreement between test curves and model curves. The research results show that the established creep model curve is in good agreement with the accelerated test curve. This finding indicates that the established model can overcome the shortcomings of the traditional Nishihara model that cannot describe accelerated creep. In addition, the model can well predict the accelerated creep characteristics of rock under high stress. The elastic modulus of the elastomer shows a decreasing trend with increasing stress. This shows that the increasing stress makes the damage inside the rock accumulate, which leads to the decrease of the elastic modulus of the elastomer. And the variation rule of σ/Ee increases with the increase of stress. This shows that the transient strain of the rock is increasing. With the increase of stress, the viscoelastic modulus Eve decreases gradually. Specifically, Eve/ηve mainly controls the viscoelastic change. The viscous coefficient ηvp shows a decreasing trend with increasing stress. σ/ηvp shows an increasing trend with the increase of stress. The viscous coefficient ηac shows a decreasing trend with increasing stress, which effectively reflects that accelerated creep continues to intensify as stress rises. σ/ηac shows an increasing trend with increasing stress. The damage coefficient βac decreases with increasing stress. However σ/βac shows a gradual increasing trend.

       

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