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基于改进Harris函数的黏土分数阶统计损伤模型

Fractional Statistical Damage Constitutive Model of Clay Based on the Improved Harris Function
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摘要 以成都黏土背景,展开三轴剪切试验,结果表明:黏土应力应变关系为应变硬化型。以分数阶微积分理论为基础,考虑黏土加载初期土体性质的增强,及加载过程中的结构损伤问题,建立了基于应变硬化的分数阶损伤模型。考虑黏土损伤贯通变形全过程,引入改进的Harris函数,并假设损伤系数服从该函数的概率密度分布,黏土微元体服从DP3准则,构建了描述黏土应变硬化全过程的分数阶统计损伤模型。通过成都黏土和红黏土的试验数据,对本文模型进行拟合验证,发现数据与模型的拟合度高,拟合参数规律明确;通过对模型参数规律的分析,明确了各参数的工程意义及取值范围,表明了本文模型的科学合理性及先进性。 The triaxial compression test was carried out on the clay in Chengdu. The results showed that the stress-strain relationship of clay was strain hardening. Based on the theory of fractional calculus,considering the enhancement of soil properties during the initial loading of clay,and the structural damage during loading,a fractional damage model was established based on strain hardening. Considering the whole process of clay damage through deformation,the improved Harris function was introduced,and the damage coefficient was assumed to obey the probability density distribution of the function. The clay micro-element obeyed the DP3 criterion,and a constitutive model describing the whole process of strain hardening of clay was constructed. Through the experimental data of Chengdu clay and red clay,the model was fitted and verified. It was found that the data has a high degree of fitting with the model,and the fitting parameters were clear. Through the analysis of the model parameters,the engineering significance of each parameter was clarified. The scientific rationality and advancement of the model constructed in this paper.
作者 任鹏 王鹏 唐印 Ren Peng;Wang Peng;Tang Yin(Sichuan Institute of Building Research,Chengdu 610081,P.R.China;Sichuan Testing Center for Construction Engineering Quality Company Ltd.,Chengdu 610081,P.R.China;School of Architecture and Civil Engineering,Chengdu University,Chengdu 610106,P.R.China;State Key Laboratory of Geohazard Prevention,Geoenvironment Protection,Chengdu University of Technology,Chengdu 610059,P.R.China)
出处 《地下空间与工程学报》 CSCD 北大核心 2020年第5期1435-1441,1466,共8页 Chinese Journal of Underground Space and Engineering
基金 四川省科技计划资助(2019YJ0551) 四川华西集团资助项目(HXKX20171009,HXKX20141013)。
关键词 黏土 应变硬化 分数阶微积分 Harris函数 损伤模型 clay strain hardening fractional calculus Harris function damage model
作者简介 任鹏(1979-),男,江苏徐州人,博士,高级工程师,主要从事岩土工程、深基坑领域的研究。E-mail:12401760@qq.com。
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