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冲击荷载作用下岩石损伤相场模型

Rock damage phase field model under impact load

  • 摘要: 为研究冲击荷载作用下预制裂隙岩石的损伤断裂行为,揭示围岩损伤破断机制,建立了考虑岩石非均质性和拉伸-压缩力学响应显著差异的岩石损伤相场模型。基于静态岩石损伤相场模型通过引入惯性力项构建了岩石弹塑性损伤耦合动态相场模型,并提出了实现岩石动态损伤相场模型的TL-FEMS(Three Layers Finite Elements Method Structure,TL-FEMS)数值计算程序。首先,通过与既有预制缺口矩形板动态拉伸和厚壁圆筒动态破坏试验结果的对比分析,验证了弹塑性损伤耦合动态相场模型及TL-FEMS数值计算程序的有效性。通过开展含双裂隙试样的单轴压缩数值模拟,模拟结果与室内试验数据和既有数值模拟结果的吻合度较高。冲击荷载作用下预制裂隙岩石动态压缩数值模拟结果表明:冲击荷载作用下单一裂纹尖端先扩展且出现反向裂纹,呈现“X”型损伤断裂特征,随着裂纹倾角的增大,裂纹扩展形态逐渐由“X”型向“I”型过渡。动态荷载作用下双裂纹起裂于裂纹尖端,随着动荷载施加,岩桥区域内双裂纹内端部连接裂纹先发育后停滞,外端部翼型裂纹持续扩展并最终贯通;应力分布特征分析表明裂隙尖端和试样内部亦会出现明显的应力集中区域。岩石动态损伤相场模型为裂隙岩石损伤断裂破坏问题研究提供了有效方法,对分析复杂地质环境条件下岩石工程结构稳定性具有重要意义。

     

    Abstract: To investigate the damage and fracture behavior of pre-fissured rock under impact load and reveal the damage and fracture mechanism of surrounding rock, the rock damage phase field model considering rock heterogeneity and the significant difference in its mechanical responses under tension and compression was established. On the basis of the static rock damage phase field model, a dynamic phase field model for rock elastoplastic damage coupling was constructed by introducing the inertial force term. The numerical calculation program named TL-FEMS (Three Layers Finite Elements Method Structure) was proposed to implement the rock dynamic damage phase field model. Firstly, the effectiveness of the elastoplastic damage-coupled dynamic phase field model and the TL-FEMS numerical calculation program was verified through comparative analysis with existing results of dynamic tensile tests on pre-notched rectangular plates and dynamic failure tests on thick-walled cylinders. In addition, uniaxial compression numerical simulations were carried out on specimens with two fissures. The simulation results showed a high degree of agreement with laboratory test data and existing numerical simulation results. The numerical simulation results of dynamic compression of pre-fissured rock under impact load indicate the following characteristics, the tip of a single crack propagates first and a reverse crack appears under impact load. Its exhibiting an "X"-shaped damage and fracture pattern. With the increase of crack inclination angle, the crack propagation mode gradually transitions from the "X" type to the "I" type. For double cracks under dynamic load, crack initiation occurs at the crack tips, the connecting cracks at the inner ends of the double cracks in the rock bridge region develop initially and then stagnate, while the wing cracks at the outer ends propagate continuously and eventually coalesce. Analysis of stress distribution characteristics shows that obvious stress concentration zones also emerge at the crack tips and inside the specimens. The proposed rock dynamic damage phase field model provides an effective approach for studying the damage and fracture problems of fissured rock, and it holds important research significance for analyzing the stability of rock engineering structures under complex geological environmental conditions.

     

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