冲击荷载作用下冻融红砂岩动力特性及损伤模型

Dynamic characteristics and damage model of freezing thawing red sandstone under impact load

  • 摘要: 为研究冻融岩石在冲击荷载作用下的动态力学特性和损伤演化特征,以寒区红砂岩为研究对象,开展0、15、30、45、60次冻融循环试验和动态冲击试验,分析了应变率和冻融损伤对红砂岩动态力学特性的影响,在考虑损伤阈值的损伤演化方程基础上,基于组合元件模型理论和统计损伤理论构建了冻融红砂岩的损伤黏塑性动态本构模型,并验证了模型的合理性及适用性。结果表明:红砂岩存在冻融循环效应和应变率效应,其动态峰值强度随应变率的增加或冻融循环次数的减少而降低,高应变率对冻融损伤的敏感性越强;引入动态峰值强度损失量γ可以消除冲击荷载作用下的应变率效应,能更直观地反映不同冲击荷载作用下冻融循环对岩石动态峰值强度的影响,冻融45次是损伤阈值点,经过45次之后冻融损伤趋于稳定;冻融与未冻融相比,内部形成了尺度较大的裂纹网络,破坏模式由劈裂向剪切破坏转变,冻融环境下力学特性劣化明显;砂岩的线弹性阶段表现明显在经过冻融循环之后,在D-P破坏准则的基础上,推导出了考虑损伤阈值的损伤演化方程,更具有合理性。基于朱−王−唐本构模型,引入了损伤体构建的黏弹塑性动态本构方程,体现本构模型的全面性;研究建立的动态本构模型很好地反映了红砂岩在受荷变形过程中所表现出的损伤软化、黏弹性和黏塑性等复杂特性,并且也反映出冻融损伤对红砂岩动态力学特性的影响; 所得结论可为研究季节性高寒地区岩石的冲击动态破坏提供参考。

     

    Abstract: To study the dynamic mechanical properties and damage evolution characteristics of freeze-thaw rocks under impact loads, 0, 15, 30, 45, and 60 freeze-thaw cycle tests and dynamic impact tests were conducted on red sandstone in cold regions. The effects of strain rate and freeze-thaw damage on the dynamic mechanical properties of red sandstone were analyzed. Based on the damage evolution equation considering the damage threshold, a damage viscoplastic dynamic constitutive model of freeze-thaw red sandstone was constructed based on the combination element model theory and statistical damage theory, and the rationality and applicability of the model were verified. The results show that red sandstone exhibits freeze-thaw cycle effects and strain rate effects, and its dynamic peak strength decreases with the increase of strain rate or the decrease of freeze-thaw cycle times. The higher the strain rate, the stronger the sensitivity to freeze-thaw damage; the introduction of dynamic peak strength loss γ can eliminate the strain rate effect under impact loads and more intuitively reflect the impact of freeze-thaw cycles on the dynamic peak strength of rocks under different impact loads. The damage threshold point is 45 freeze-thaw cycles, and after 45 cycles, the freeze-thaw damage tends to stabilize; compared with unfrozen and thawed environments, a larger scale crack network is formed internally, and the failure mode changes from splitting to shear failure. The mechanical properties deteriorate significantly in the freeze-thaw environment; the linear elastic stage of sandstone exhibits obvious behavior after freeze-thaw cycles. Based on the D-P failure criterion, a damage evolution equation considering the damage threshold is derived, which is more reasonable. Based on the Zhu−Wang−Tang constitutive model, a viscoelastic plastic dynamic constitutive equation for constructing damaged bodies is introduced, reflecting the comprehensiveness of the constitutive model; the dynamic constitutive model established in this article well reflects the complex characteristics of damage softening, viscoelasticity, and viscoplasticity exhibited by red sandstone during load deformation, and also reflects the influence of freeze-thaw damage on the dynamic mechanical properties of red sandstone; the conclusions obtained can provide reference for studying the dynamic impact failure of rocks in seasonal high-altitude and cold regions.

     

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