粗粒土的级配方程及应用

采用二次函数建立了颗粒含量P与相对粒径x自然对数的非线性关系,提出了一种可以描述连续级配粗粒土的级配方程,验证了方程的适用性。将非连续级配粗粒土级配曲线离散为局部连续级配曲线,通过坐标变换,在连续级配方程基础上构建了非连续级配粗粒土的级配方程,采用数据论证了该方程的适用性,结果表明非连续级配方程可以很好地描述复杂形态的级配曲线。基于已有试验数据对连续与非连续级配方程进行了应用分析。结果表明,非连续级配方程计算Hardin相对破碎率与实测值更为吻合。本文研究成果将有助于理解粗粒土工程特性与级配的关系。

Gradation equation of coarse-grained soil based on fractal theory and its application

TheSnonlinearSrelationshipSofStheSparticle content P and relative particle size x Sis established in the double natural logarithmic coordinate system,which could be expressedSapproximatelySas the quadratic SfunctionScurve based on fractal theory, and then a gradation equation is proposed to describe continuous graded coarse-grained soil and its applicability is verified. The non-continuous graded coarse-grained soil gradation curve is discretized into several continuous gradation curves in small range coordinates, and a gradation equation is proposed to describe non-continuous graded coarse-grained soil based on the continuous grading equation by coordinatesStransform, and then the applicability of the equation is demonstrated by data. The results show that the equation can describe the complex gradation curves. The two newly gradation equations are applied to calculate the Hardin relative particle breakage index of experimental data reported by other authors. TheSresultsScalculate by non-continuous graded equation agreeSwellSwithSexperimentalSdata.The results show that the calculation of is consistent with the measured values of the discontinuous grading equation. The research results in this paper would be helpful for understanding the relationship between the engineering properties of coarse-grained soil and the gradation.