循环侵水作用下受荷黄砂岩的蠕变损伤本构模型

A creep damage constitutive model of loaded yellow sandstone under cyclic water intrusion

  • 摘要: 受降雨等因素的影响,路基边坡岩体长期受侵水-干燥循环与单向载荷的共同作用,这种作用过程会显著影响边坡岩体的长期稳定性。为探究循环侵水与载荷作用对岩体蠕变特性的影响,文章开展循环侵水作用下受荷黄砂岩的蠕变试验,分析其单轴蠕变变形特性,提出力学性能损伤变量,并改进Burgers蠕变损伤模型建立黄砂岩非线性蠕变本构模型。研究结果表明:①在循环侵水与上覆载荷的共同作用下,黄砂岩瞬时变形与稳态蠕变变形均呈现增大趋势,相同侵水次数下,随着上覆载荷增大,长期强度较原岩样分别减少了9.64 %、8.83 % 和7.07 %,表明上覆载荷会减弱循环侵水对黄砂岩的侵蚀作用;②基于传统Burgers模型,构建了考虑初始损伤的非线性蠕变本构模型,并验证了其对黄砂岩非线性蠕变特性的适用性;③分析蠕变损伤参数,发现随蠕变应力增加,E1η2呈线性增大趋势,E2呈指数增长趋势,η1则呈负指数减小趋势。

     

    Abstract: For the rock mass of roadbed slope, its long-term stability is often compromised due to the lasting impact of both water-drying cycle and unidirectional load under rainfall. This study therefore attempts to explore the effect of cyclic water intrusion and load on the creep patterns of rock mass. We conducted creep tests on loaded yellow sandstone under cyclic water intrusion and analyzed uniaxial creep deformation of yellow sandstone under cyclic water intrusion and load. We then proposed the damage variables of mechanical properties of yellow sandstone under the coupling action of cyclic water intrusion and load and established a nonlinear creep constitutive model of yellow sandstone by improving the Burgers creep damage model. Results show that: ① the instantaneous deformation and steady creep deformation of yellow sandstone approximately increased under the combined effect of cyclic water encroachment and overburden load. With increasing overburden load, the long-term strength of yellow sandstone decreased by 9.64 %, 8.83 % and 7.07 %, respectively. This indicates that overburden load could weaken the erosion of cyclic water encroachment on yellow sandstone; ② a nonlinear creep constitutive model was proposed by drawing on the traditional Burgers model, which took into account the initial damage. Its applicability was verified regarding the nonlinear creep patterns of yellow sandstone; ③ analysis on the creep damage parameters showed that E1 and η2 increased linearly with creep stress, E2 increased exponentially, and η1 decreased negatively.

     

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