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丁林楠, 李国英. 基于分形级配方程的堆石料颗粒破碎SBG模型[J]. 岩土工程学报, 2022, 44(2): 264-270. DOI: 10.11779/CJGE202202007
引用本文: 丁林楠, 李国英. 基于分形级配方程的堆石料颗粒破碎SBG模型[J]. 岩土工程学报, 2022, 44(2): 264-270. DOI: 10.11779/CJGE202202007
DING Lin-nan, LI Guo-ying. SBG model for particle breakage of rockfills based on fractal gradation equation[J]. Chinese Journal of Geotechnical Engineering, 2022, 44(2): 264-270. DOI: 10.11779/CJGE202202007
Citation: DING Lin-nan, LI Guo-ying. SBG model for particle breakage of rockfills based on fractal gradation equation[J]. Chinese Journal of Geotechnical Engineering, 2022, 44(2): 264-270. DOI: 10.11779/CJGE202202007

基于分形级配方程的堆石料颗粒破碎SBG模型

SBG model for particle breakage of rockfills based on fractal gradation equation

  • 摘要: 准确预测堆石料在受剪过程中颗粒的破碎率以及相应的级配变化,是揭示堆石料在复杂应力状态下强度、渗透、变形等特性的基础。基于分形级配方程,建立了一个实现“应力应变—破碎指标—级配分布(SBG)”转换的模型。引入Einav破碎指标BE作为衡量颗粒破碎率的指标,对分形级配方程进行变形和积分,推导了颗粒破碎率BE和分形维数D的数学转换,即“破碎指标—级配分布”的转换。对已有的三轴剪切试验数据进行分析,提出一个可以定量表示颗粒破碎率随剪应变和平均正应力变化的数学模型,模型共有3个参数abc,参数b与土体的临界状态有关,根据临界剪应变可以直接确定。对两组不同的试验数据进行拟合,发现模型预测值与试验值具有较高的吻合度,实现“应力应变—破碎指标”的转换。将以上两种转变联立,成功预测了不同剪应变及平均正应力下堆石料的级配变化。

     

    Abstract: Accurately predicting the particle breakage rate and the corresponding gradation changes of rockfills in shearing process is beneficial to revealing their characteristics such as strength, penetration and deformation under complex stress conditions. Based on the fractal gradation equation, a model for realizing the conversion of "stress strain-breakage index-gradation distribution (SBG)" is established. The breakage index BE is used to measure the particle breakage rate. The fractal gradation equation is deformed and integrated, and the mathematical conversion of particle breakage rate BE and fractal dimension D is derived, that is, the conversion of "breakage index-gradation distribution". The existing triaxial shear test data are analyzed, and a mathematical model that can quantitatively express the change of particle breakage rate with shear strain and average normal stress is proposed. The model has three parameters a, b and c. The parameter b is related to the critical state of soils and can be directly determined according to the critical shear strain. Two sets of different test data are fitted, and it is found that the predicted values by the model has a high degree of agreement with the test ones, and the conversion of "stress strain-breakage index" is realized. Combining the above two conversions, the gradation changes of rockfills under different shear strains and average normal stresses are successfully predicted.

     

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