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    应力-冻融协同作用后砂岩力学特性与损伤模型

    Mechanical Properties and Damage Model of Sandstone After the Synergistic Action of Stress and Freeze-Thaw Cycles

    • 摘要: 为研究应力和冻融协同作用后砂岩力学特性及损伤演化规律,开展了不同应力水平下、不同冻融次数后砂岩单轴压缩试验,分析了砂岩各应力-应变阈值、弹性模量和破裂模式的变化特征,建立了应力与冻融协同作用后岩石受荷损伤分段本构模型.研究结果表明:砂岩的单轴抗压强度、裂纹闭合应力、裂纹起始应力、弹性模量均随冻融次数增加而降低,峰值应变先减小后增大,裂纹闭合应变和裂纹起始应变大体增加;随应力水平增加,单轴抗压强度、裂纹起始应力和弹性模量降低;随冻融循环进行,岩石破裂模式由轴向劈裂为主向多斜面张剪破裂转变.较高的应力水平促进岩石冻融损伤累积,较低的应力水平同样有利于岩石冻融损伤劣化,主要体现在平行于加载方向冻胀力与外部应力作用叠加更易于超过岩石的抗拉强度,造成裂纹的萌生和扩展.考虑孔裂隙压密造成的非线性变形特征,基于孔裂隙应变与轴向应变的关系,以裂纹闭合应力为分段点建立了岩石损伤本构模型,能合理地描述应力-冻融协同作用后砂岩受荷变形破坏过程.

       

      Abstract: To study the mechanical properties and damage evolution of sandstone after the synergistic action of stress and freeze-thaw cycles,uniaxial compression tests were conducted on sandstone samples under different stress levels and number of freeze-thaw cycles.The variation characteristics of stress-strain threshold,elastic modulus,and fracture mode of sandstone were analyzed,and a segmented damage constitutive model of rock under load after the synergistic action of stress and freeze-thaw cycles was proposed.The results indicate that as the number of freeze-thaw cycles increases,the uniaxial compressive strength,crack closure stress,crack initiation stress,and elastic modulus of sandstone decrease,while the peak strain first decreases and then increases,and the crack closure strain and crack initiation strain generally increase.As the stress level increases,the uniaxial compressive strength,crack initiation stress,and elastic modulus decrease.The rock fracture mode shifts from axial splitting to multi tensile shear fracture with the repeatedly freezing-thawing cycles.Higher stress levels promote the accumulation of rock freeze-thaw damage,while lower stress levels are also conducive to the damage.The reason may be that the superposition of frost heave force parallel to the loading direction and external stress is more likely to exceed the tensile strength of the rock,leading to the initiation and propagation of cracks.Considering the nonlinear deformation characteristics caused by pore-crack compaction and the relationship between pore-crack strain and axial strain,a rock damage constitutive model is established with the crack closure stress as the segmented point.The proposed model can reasonably describe the deformation and failure process of sandstone under load after the synergistic action of stress and freeze-thaw cycles.

       

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