荷载速率效应下盐岩单轴循环能量演化与低周损伤模型

Uniaxial cyclic energy evolution and low-cycle fatigue damage model of salt rock under loading rate effects

  • 摘要:
    目的 盐穴压缩空气储能库围岩长期承受周期性压力波动,易产生不可逆变形、能量耗散及循环损伤累积,影响储库长期服役稳定性。为揭示加载-卸载速率(统称荷载速率)对盐岩循环力学响应、能量演化及低周循环损伤累积的影响,开展单轴循环加载-卸载试验研究。
    方法 以山东泰安肥城盐矿盐岩为对象,通过单轴压缩试验确定抗压强度,取其平均值的20%与80%分别作为循环应力下限与上限;设置3种荷载速率,分别为0.25 kN/s、0.50 kN/s及1.00 kN/s,各开展60次循环加载-卸载试验。基于应力-应变曲线分解得到单循环总输入能、弹性应变能及耗散能,分析能量演化规律,并以耗散能为基础定义损伤变量,建立能量驱动型损伤演化模型。
    结果 不同荷载速率下,盐岩应力-应变曲线均呈明显滞回特征,并伴随残余应变累积,表明试样存在不可逆变形与能量耗散。单循环总输入能与耗散能在循环初期快速下降,弹性应变能逐步增加,随后各能量参数趋于稳定;累积总能量与累积弹性应变能均随循环次数近似呈线性增长,且不同荷载速率下差异较小;相比之下,累积耗散能对荷载速率则更为敏感,在相同的循环次数下随荷载速率增大而降低。基于耗散能的损伤变量能够反映盐岩低周循环损伤快速增长、稳定累积及后期加速发展的非线性过程。
    结论 荷载速率显著影响盐岩耗散能积累与低周循环损伤演化,较低荷载速率更有利于内部结构调整及不可逆损伤发展。所建模型与试验结果吻合较好,可为后续三轴循环加载-卸载与循环-蠕变耦合条件下盐岩损伤演化研究提供参考。

     

    Abstract:
    Objective During the operation of a salt cavern used for compressed air energy storage, the surrounding rock is subjected to cyclic pressure fluctuations over a prolonged period. These fluctuations tend to induce irreversible deformation, energy dissipation, and cumulative fatigue damage, thereby impairing the long-term stability of the storage cavern. An experimental study involving uniaxial cyclic loading-unloading tests is conducted to reveal the effects of loading rate on the cyclic mechanical response, energy evolution, and accumulation of low-cycle fatigue damage in salt rock.
    Methods Salt rock from the Feicheng Salt Mine in Tai’an, Shandong Province, China, is investigated. Uniaxial compression tests are conducted to determine the compressive strength of the salt rock. The lower and upper cyclic stress limits are set at 20% and 80% of the mean compressive strength, respectively. Three cyclic loading–unloading rates are applied: 0.25 kN/s, 0.50 kN/s, and 1.00 kN/s. Sixty loading–unloading cycles are performed at each rate. The total input energy, elastic strain energy, and dissipated energy for each cycle are derived from the stress–strain curves. Their evolution patterns are then analyzed. A damage variable is defined using dissipated energy, and an energy-driven damage evolution model is formulated.
    Results The stress–strain curves of salt rock exhibit pronounced hysteresis at all loading rates, accompanied by residual strain accumulation. These features indicate irreversible deformation and energy dissipation in the specimens. During the initial cycles, the total input energy per cycle and dissipated energy per cycle decrease rapidly, whereas the elastic strain energy per cycle gradually increases. All energy parameters then tend to stabilize. Both cumulative total energy and cumulative elastic strain energy increase approximately linearly with the number of cycles, with only small differences among the loading rates. In contrast, cumulative dissipated energy shows a stronger dependence on loading rate. For a given number of cycles, cumulative dissipated energy was found to decrease with increasing load rate. The damage variable defined using dissipated energy captures the nonlinear progression of low-cycle fatigue damage in salt rock from rapid growth through steady accumulation to late-stage acceleration.
    Conclusion Loading rate significantly affects the accumulation of dissipated energy and the evolution of low-cycle fatigue damage in salt rock during cyclic loading and unloading. Lower loading rates are more conducive to internal structural adjustment and the development of irreversible damage. The energy-driven damage evolution model shows good agreement with the test results. It can serve as a reference for future studies on damage evolution in salt rock under triaxial cyclic loading-unloading and cyclic loading-creep coupling conditions.

     

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