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基于反正切函数曲线,构造了一种新的黄土非线性动力本构模型。选取西安黄土试样进行室内动三轴试验,得到黄土试样的动应力-应变曲线,并以此得到了所提本构模型的理论曲线。理论曲线与试验结果对比表明,较Hardin-Drnevich模型而言,所提西安黄土动本构模型能够更好地描述三轴应力条件下黄土的强度和变形特征。研究结果表明,加载频率与含水率不变时,动剪切模量随围压的增大而增大。加载频率与围压不变时,动剪切模量随含水率的增大而逐渐减小。含水率与围压不变时,动剪切模量随加载频率的增大而增大。
Based on the arc tangent function curve, a new nonlinear dynamic constitutive model of loess is constructed. The Xi’an loess sample was selected for dynamic triaxial test to get the dynamic stress-strain curve of the loess sample, and the theoretical curve of the constitutive model was obtained. The comparison between the theoretical curve and experimental results shows that the proposed dynamic constitutive model of the loess in Xi’an can better describe the strength and deformation characteristics of loess under triaxial stress conditions than the Hardin-Drnevich model. The results show that the dynamic shear modulus increases with the increase of confining pressure when the loading frequency and moisture content are constant. When the loading frequency and confining pressure are constant, the dynamic shear modulus decreases with the increase of water content. Moisture content and confining pressure constant, the dynamic shear modulus increases with the increase of loading frequency.