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单轴作用下岩土材料的双重介质本构模型
引用本文:刘晓丽,王思敬,王恩志,薛强.单轴作用下岩土材料的双重介质本构模型[J].应用数学和力学,2006,27(10):1193-1201.
作者姓名:刘晓丽  王思敬  王恩志  薛强
作者单位:清华大学 水利水电工程系,北京 100084;2.中国科学院 地质与地球物理研究所,北京 100029;3.中国科学院 武汉岩土力学研究所,武汉 430071
基金项目:国家自然科学基金;国家科技攻关计划
摘    要:基于弹塑性力学和损伤力学理论,将岩土材料视为孔隙-裂隙双重介质,假设孔隙介质不发生损伤,而裂隙介质随应变的增加发生损伤,建立了单轴作用下岩土类材料的双重介质本构模型隐式表达式,并利用Newton迭代法得出了材料的全程应力-应变曲线.分析结果表明,岩土材料中裂隙空间展布的多态性(均匀展布、集中展布和随机展布)是岩土材料本构关系千变万化的根本原因.由于双重介质本构模型将岩土材料的弹性主体(孔隙介质部分)和损伤主体(裂隙介质部分)分化开来,对于研究岩土或含损伤材料的破坏具有实用价值和理论意义.

关 键 词:岩土材料    地质材料    双重介质    本构模型    损伤
文章编号:1000-0887(2006)10-1193-09
收稿时间:2005-04-05
修稿时间:2006-06-03

Double-Medium Constitutive Model of Geological Material in Uniaxial Tension and Compression
LIU Xiao-li,WANG Si-jing,WANG En-zhi,XUE Qiang.Double-Medium Constitutive Model of Geological Material in Uniaxial Tension and Compression[J].Applied Mathematics and Mechanics,2006,27(10):1193-1201.
Authors:LIU Xiao-li  WANG Si-jing  WANG En-zhi  XUE Qiang
Affiliation:Department of Hydraulic and Hydropower Engineering, Tsinghua University, Beijing 100084, P. R. China;
Abstract:Based on elasto-plasticity and damage mechanics,a double-medium constitutive model of geological material under uniaxial tension and compression was presented,on the assumption that rock and soil materials being pore-fracture double-medium,and porous medium occurring no damage,while fracture medium occurring damage with load.To the implicit equation of the model,iterative method was adopted to obtain the complete stress-strain curve of the material.The result shows that many different distributions(uniform distribution,concentrated distribution and random distribution) of fractures in rock and soil material are the essential reasons of the daedal constitutive relations.By the reason that the double-medium constitutive model separating the material to be porous medium part,which is the main body of elasticity,and fracture medium part,which is the main body of damage,it is of important practical values and theoretical meanings to the study on failure of rock and soil or materials containing damage.
Keywords:rock and soil materials  geological materials  double-medium  constitutive model  damage
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