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基于摩尔-库仑模型的非线性本构模型的开发及其在应变局部化中的应用
引用本文:陶帅,王学滨,潘一山,王玮.基于摩尔-库仑模型的非线性本构模型的开发及其在应变局部化中的应用[J].岩土力学,2011,32(Z1):403-0407.
作者姓名:陶帅  王学滨  潘一山  王玮
作者单位:辽宁工程技术大学力学与工程学院
基金项目:国家自然科学基金项目(No.50974069);辽宁省教育厅2009年度高等学校科研项目(No.2009A322);国家重点基础研究发展计划(No.2010CB226803)
摘    要:以FLAC中的Mohr-Coulomb(M-C)本构模型为基础,在C++环境下实现了考虑拉伸截断的非线性本构模型的二次开发。针对应力及位移的分布规律,将理想弹塑性的Hoek-Brown(H-B)本构模型、M-C本构模型及自定义本构模型的数值解及H-B本构模型的理论解进行了比较,验证了自定义本构模型的正确性。采用弹-脆-塑性的自定义本构模型,以先加载,后挖洞的方式模拟了圆形巷道围岩的应变局部化过程,在计算模型的边界条件对称及均质本构参数的条件下,模拟出了4个对称的V型坑,模拟结果与静水压力条件下岩爆的现场观测及试验结果吻合,而采用接近脆性的H-B应变软化模型所得结果的对称性较差。

关 键 词:Mohr-Coulomb本构模型  Hoek-Brown本构模型  非线性本构模型  圆形巷道  应变局部化  V形坑
收稿时间:2010-08-04

Development of nonlinear constitutive model based on Mohr-Coulomb constitutive model and its application to strain localization
TAO Shuai,WANG Xue-bin,PAN Yi-shan,WANG Wei.Development of nonlinear constitutive model based on Mohr-Coulomb constitutive model and its application to strain localization[J].Rock and Soil Mechanics,2011,32(Z1):403-0407.
Authors:TAO Shuai  WANG Xue-bin  PAN Yi-shan  WANG Wei
Institution:College of Mechanics and Engineering, Liaoning Technical University, Fuxin, Liaoning 123000, China
Abstract:A nonlinear constitutive model with tension cut-off is developed by use of C++ based on Mohr-Coulomb constitutive model in FLAC. For stresses and displacements of monitored elements or nodes, comparison is conducted between the numerical solutions (including solutions based on Hoek-Brown constitutive model, Mohr-Coulomb constitutive model and defined nonlinear constitutive model) and the analytical solutions (based on Hoek-Brown constitutive model). Validation of the defined nonlinear constitutive model is verified. Strain localization of the surrounding rock of a circular tunnel is modeled using the defined elastic-brittle-plastic constitutive model. The tunnel is excavated after the model is loaded to an equilibrium state. On the condition of symmetric boundary conditions of computational model and homogeneous constitutive parameters, four symmetric V-shaped notches are found; as is consistent with observations in situ and experimental results of rockbursts in a hydrostatic pressure. However, if the very brittle strain softening Hoek-Brown constitutive model is adopted, then symmetrical numerical results cannot be observed.
Keywords:Mohr-Coulomb constitutive model  Hoek-Brown constitutive model  nonlinear constitutive model  circular tunnel  strain localization  V-shaped notch  
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