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通过对南宁膨胀土的三轴压缩蠕变试验,研究了该膨胀土的非线性蠕变特性。基于流变力学和分数阶微积分理论的蠕变模型,构建了可反映膨胀土非线性流变特性的本构方程和蠕变方程。为了更好地描述膨胀土的非线性流变行为,通过引入考虑应力水平影响的类粘滞系数,进一步改进了软体元件。研究发现,膨胀土的非线性蠕变过程可以通过调整分数阶次β1和β2进行有效地模拟。研究结果表明,所建立的模型能完整地描述膨胀土的粘-弹-塑性变形,且模型分析结果与试验结果非常吻合,为计算膨胀土地基在长期荷载作用下的变形提供了理论依据,也对进一步探索膨胀土的应力松弛和长期强度等流变特性具有理论意义。
Through the triaxial compression creep test of the expansive soils in Nanning, the nonlinear creep characteristics of the expansive soils are studied. Based on the creep model of rheological mechanics and fractional calculus theory, constitutive equations and creep equations that can reflect the nonlinear rheological properties of expansive soils are constructed. In order to better describe the nonlinear rheological behavior of expansive soils, the software components are further improved by introducing a class of viscous coefficient that takes into account the influence of stress levels. It is found that the nonlinear creep process of expansive soils can be effectively simulated by adjusting the fractional orders β1 and β2. The results show that the model can completely describe the visco-elastic-plastic deformation of the expansive soil, and the model analysis results are in good agreement with the experimental results, which provides a theoretical basis for calculating the deformation of the expansive soil foundation under long-term load. It is of theoretical significance to further explore rheological properties such as stress relaxation and long-term strength of expansive soils.