一种基于弹塑性理论的黄土湿陷评价模型

    A NEW MODEL FOR EVALUATING COLLAPSIBILILITY OF LOESS BASED ON ELASTO-PLASTIC THEORY

    • 摘要: 本文搜集文献中78组不同种类饱和/非饱和原状黄土(砂质、粉质和黏质)一维压缩数据,基于弹塑性理论建立湿陷系数计算模型,包括5个容易获取的参数:初始孔隙比、初始含水率、竖向应力、液限孔隙比和塑性指数。首先,选用孔隙比、含水率和竖向应力变量,建立饱和/非饱和原状黄土压缩曲线方程。其次,通过液限孔隙比、塑性指数和初始孔隙比将不同种类原状黄土压缩曲线归一化。最后,基于所建立归一化的压缩曲线方程按照双线法计算湿陷系数。与文献中搜集的200组双线法和110组单线法试验结果对比,模型定性评价原状黄土湿陷程度的准确率在93%以上。从定量角度分析,在轻微、中等和强烈湿陷程度内,模型计算湿陷系数中90%以上数据的绝对误差分别在±0.01、±0.02和±0.05以内,上述精度满足工程中黄土湿陷性定量分析的要求。

       

      Abstract: A total of 78 sets of one-dimensional compression data were collected for various types of saturated/unsaturated intact loess(including sandy,silty,and clayey loess). Based on these data,a model was developed to calculate the collapse coefficient using elastoplastic theory. The model incorporates five readily available parameters: initial void ratio,initial water content,vertical stress,void ratio at the liquid limit state,and plasticity index. First,the void ratio,water content,and vertical stress were selected as variables to establish the equation for the saturated/unsaturated compression curve. Second,the compression curves of various loess types were normalized using the void ratio at the liquid limit state,plasticity index,and initial void ratio. Finally,the collapse coefficient was calculated using the established equation via the double-line method. Compared with results from the double-line method(200 data points)and the single-line method(110 data points),the model achieves an accuracy of over 93% in evaluating collapsibility. Quantitatively,the absolute errors for over 90% of the data calculated by the model fall within±0.01,±0.02,and ±0.05 for slight,moderate,and strong collapsibility degrees,respectively. This level of accuracy meets the requirements for quantitative analysis of loess collapsibility in practical engineering applications.

       

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