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应变软化岩体分析原理及其应用
引用本文:王水林,郑宏,刘泉声,郭明伟,葛修润.应变软化岩体分析原理及其应用[J].岩土力学,2014,35(3):609-621.
作者姓名:王水林  郑宏  刘泉声  郭明伟  葛修润
作者单位:中国科学院武汉岩土力学研究所 岩土力学与工程国家重点实验室,武汉 430071
基金项目:国家自然科学基金资助项目(No.51179185,No.41130742)
摘    要:应变软化是指应力-应变曲线中轴向应力随应变的增加而减小的现象,许多种类的岩土介质在工程扰动的作用下呈现应变软化的行为。在分析应变软化问题时,其应力-应变关系式中的切线刚度矩阵是非正定的,由此导致计算求解的困难。将岩体应变软化过程简化为一系列脆塑性过程,于是应变软化问题的求解归结为一系列脆塑性过程的分析。基于经典弹塑性力学理论,提出了应变软化过程模拟方法及其相应的有限元求解过程,编制了计算程序,研究了应变软化本构模型中不同强度弱化速率对圆形洞室围岩塑形区分布的影响,进一步分析了应变软化模型对应的隧道径向变形沿洞轴方向的分布特征,并与已有监测数据得到的分布规律进行了对比。初步的研究结果表明,应变软化模型得到的计算结果是比较合理的。

关 键 词:应变软化  脆塑性模型  圆形隧道  数值解  摩尔-库仑屈服准则
收稿时间:2013-02-20

Principle of analysis of strain-softening rock mass and its application
WANG Shui-lin,ZHENG Hong,LIU Quan-sheng,GUO Ming-wei,GE Xiu-run.Principle of analysis of strain-softening rock mass and its application[J].Rock and Soil Mechanics,2014,35(3):609-621.
Authors:WANG Shui-lin  ZHENG Hong  LIU Quan-sheng  GUO Ming-wei  GE Xiu-run
Institution:State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China
Abstract:In stress-strain curve, the process of decline of uniaxial stress at increasing strain is defined as strain-softening. Many types of geomaterials behave in strain-softening way in the case of disturbance of engineering activities. When the stress-strain relationship is described in mathematical formulation, the matrix of tangential elastic moduli is no longer positive-definite. Thereby difficulties arise in finding the solution to strain-softening problem. Strain-softening process is simplified into a series of brittle-plastic behavior; and solving brittle-plastic problem comes down to obtaining a series of brittle-plastic solutions. On the basis of classic plasticity theory, the method for analyzing strain-softening behaviour is proposed; and the corresponding solution process is implemented in finite element code. Furthermore, the influences of different strength-weakening modes on the distribution of plastic zone in the surrounding rock mass of a circular tunnel are studied. The longitudinal deformation profile (LDP) obtained by strain-softening constitutive model is also analyzed; and it is compared with the measurements in a tunnel. The preliminary numerical analyses indicate that the presented results look reasonable.
Keywords:strain-softening  brittle-plastic model  circular tunnel  numerical solution  Mohr-Coulomb yield criterion
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