冻结改良土抗压特性分数阶模型可靠性分析  

Reliability analysis of fractional order model for compressive properties of freeze-amended soils

作　　者：姚兆明[1,2] 唐赛 昌语 李鹏辉 YAO Zhao-ming;TANG Sai;CHANG Yu;LI Peng-hui(School of Civil Engineering and Architecture,Anhui University of Science and Technology,Huainan 232001,China;Engineering Research Center of Underground Mine Construction,Ministry of Education,Huainan 232001,China;First Geological Brigade of Shandong Provincial Bureau of Geology and Mineral Resources,Jinan 250000,China)

机构地区：[1]安徽理工大学土木建筑学院,安徽淮南232001 [2]矿山地下教育部工程研究中心,安徽淮南232001 [3]山东省地质矿产勘查开发局第一地质大队,山东济南250000

出　　处：《河南城建学院学报》2025年第1期44-51,共8页Journal of Henan University of Urban Construction

基　　金：矿山地下工程教育部工程研究中心开放研究项目(JYBGCZX2021104)。

摘　　要：以昆明地区泥炭质土为研究对象,掺入不同比例的标准硅酸盐水泥制成重塑土样并进行低温环境下单轴抗压试验,研究土样单轴应力应变关系及其抗压强度变化规律。将水泥掺量函数代入指数模型中,引入Riemann-Liouville型分数阶微积分算子,建立改进的冻结改良泥炭质土分数阶指数模型,变换得到不同水泥掺量的应力应变方程组及分数阶导数模型参数。再将温度函数代入指数模型,建立考虑温度和掺量共同影响的分数阶指数模型。运用蒙特卡罗方法计算模型的可靠度,分析模型与参数的相关规律。结果表明,改进的冻结改良泥炭质土本构模型能够较好地描述各水泥掺量和温度下的应力应变趋势,计算值与试验值拟合较好,模型参数较少,便于工程应用。Taking peaty soil in Kunming area as the research object,different proportions of standard silicate cement were incorporated into it to make remodeling specimens and uniaxial compression test was carried out in low temperature environment,to study the uniaxial stress-strain relationship of the specimens and the change rules of their compressive strength.The cement dosage function was plugged into the exponential model,and the Riemann-Liouville type fractional-order calculus operator was introduced to establish the improved fractional-order exponential model of frozen amended peaty soil.Then it was transformed to the stress-strain equations at different cement dosage,and the fractional-order derivative model parameters were obtained by solving them.Then the temperature function was plugged into the exponential model to establish the fractional-order exponential model considering the effects of both temperature and dosage.The Monte Carlo method was used to calculate the reliability of the model,and the relevant laws of the model and the parameter were analyzed.The test shows that the improved freeze-amended peaty soil constitutive model can well describe the stress-strain trend at each cement dosage and temperature,and the fitting between the calculated values and the test values is satisfactory.What′s more,the model has few parameters,which is convenient for practical application in engineering.

关 键 词：人工冻土 指数模型 泥炭质土 分数阶导数 蒙特卡罗方法 

分 类 号：TU445[建筑科学—岩土工程]