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  • 加卸載歷史對鹽巖蠕變行為的試驗影響與模型研究

    Experimental and modeling study of salt rock creep behavior under loading and unloading history

    • 摘要: 受加卸載歷史的影響,地下工程反復變化的應力環境(如開挖、回填和卸載)會顯著影響儲庫的長期穩定性. 為探討這一影響,本文開展了相同應力水平下分級加載和卸載蠕變試驗,系統研究了加卸載歷史對鹽巖蠕變特性的影響. 引入表征巖石硬化程度的狀態變量構建了一種鹽巖蠕變本構模型,該模型能夠有效地考慮加卸載歷史效應對鹽巖變形的影響. 研究結果表明,蠕變應變受加卸載效應的影響存在顯著差異. 升梯度試驗鹽巖的蠕變應變逐漸增大,而降梯度試驗則出現負蠕變現象. 這是因為在升梯度試驗中,逐級施加外荷載加劇了鹽巖內部位錯的增殖與滑移過程,從而促進了蠕變變形的發展. 而降梯度試驗中,高應力階段誘發的結構硬化效應在低應力階段仍然起主導作用,表現為應變的回退. 所提出的本構模型能夠準確預測加卸載路徑下鹽巖的蠕變變形,模型的擬合結果與試驗數據高度吻合,證明該模型能夠有效表征并預測鹽巖的蠕變行為及其歷史效應. 此外,將鹽巖的變形分為蠕變變形,彈性變形和加載塑性變形. 加載塑性變形與加載前后的應力狀態密切相關,而與加卸載路徑、速率和時間無關. 模型參數敏感性分析結果表明,參數ab分別影響等速蠕變和變速蠕變應變,參數kmc通過影響狀態變量對蠕變行為產生影響,參數n則表征蠕變變形對應力的敏感性,并影響不同階段蠕變的變形特征.

       

      Abstract: The influence of loading and unloading history on creep deformation suggests that the cyclic stress environment in underground engineering (e.g.: excavation, backfilling, and unloading) can significantly impact the long-term stability of salt rock. To further investigate this effect, this study systematically examined the impact of different loading and unloading conditions on the creep behavior of salt rock through stepped loading and unloading creep tests conducted under identical stress levels. A new creep constitutive model was developed by introducing a state variable that characterizes the degree of rock hardening, effectively accounting for the effects of loading and unloading on salt rock deformation. The results indicated that creep strain under stepped loading and unloading exhibited significant differences due to the influence of loading and unloading history. The stepped loading test led to a gradual increase in creep strain, whereas the stepped unloading test resulted in negative creep. This behavior occurred because, during stepped loading, the salt rock underwent multiple incremental stress stages. As the stress level increased, continuous evolution of the internal microstructure facilitated the progression of creep deformation. In contrast, during stepped unloading, internal structural adjustments were primarily driven by residual internal stress. Structural hardening induced high-stress levels continued to dominate in subsequent low-stress stages, resulting in strain, reversal—manifested as negative creep. The constitutive model based on a state variable accurately predicted the creep deformation of salt rock under both loading and unloading conditions. Model fitting results showed excellent agreement with experimental data, demonstrating its effectiveness in characterizing and predicting creep behavior and historical effects. Additionally, salt rock deformation can be categorized into time-dependent and time-independent components. Time-dependent deformation was influenced by both stress and time, resulting in varying deformation under different durations. Time-independent deformation included elastic and plastic components during loading. To clearly distinguish creep from plastic deformation, the time-independent plastic deformation was termed “loading plastic deformation” in this study. This deformation was closely related to the stress state before and after loading, but was independent of the loading path, unloading path, rate, and duration. Sensitivity analysis of the model parameters revealed that parameters a and b affected creep behavior by influencing constant and variable creep strain, respectively. Parameters k, m, and c influenced creep behavior through the state variable. Parameter n characterized the stress sensitivity of creep deformation and affected the deformation behavior at different creep stages.

       

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