基于响应面分析法的纤维加筋砂土抗剪强度分析

Analysis of Shear Strength of Sand-soil Reinforced with Fiber Based on Response Surface Methodology

为研究纤维的掺入对砂土抗剪强度的影响规律,对不同纤维长度、纤维掺量、含砂率的纤维加筋砂土进行直剪试验,通过单因素试验确定影响因素水平,采用响应面分析法对黏聚力建立回归方程并进行方差分析,并通过验证试验对响应面分析的最优化方案进行验证。试验结果表明:纤维的掺入对纤维加筋砂土内摩擦角的影响并不显著,对黏聚力的影响较为明显;黏聚力模型模拟出的数据与试验数据相关性极为显著,失拟项差异不显著,说明模型可信;含砂率对黏聚力的影响极为显著,纤维掺量对黏聚力的影响相对显著,纤维长度对黏聚力的影响不显著;验证试验所得黏聚力与理论预测相差不大,说明使用响应面分析法进行理论分析可以切合黏聚力的实际情况。

In order to study the influence of fiber content on the shear strength of sand-soil,we carried out direct shear tests on sand-soil reinforced with fiber of different fiber lengths,sand contents and fiber contents,and determined the levels of influential factors through single factor experiment. Furthermore,we employed response surface methodology to establish the regression equation of cohesion and analyzed the variance,and then verified the optimization scheme of response surface analysis. Results show that 1） fiber content has insignificant influence on internal friction angle of sand-soil reinforced with fiber,but has obvious influence on cohesion; 2） data simulated by the cohesion model are significantly correlated with test data,and the difference of lack of fit is not significant,indicating that the model is reliable; 3） the effect of sand content on cohesion is very significant,while the effects of fiber content and fiber length on cohesion is relatively significant,and insignificant,respectively; 4） the cohesion obtained from verification test shows little difference with the theoretical predicted value,which suggest that response surface methodology for theoretical analysis accords with the actual cohesion.