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改进的西原模型及其稳定性分析
引用本文:邹友平,邹友峰,郭文兵.改进的西原模型及其稳定性分析[J].焦作工学院学报,2005(1).
作者姓名:邹友平  邹友峰  郭文兵
作者单位:河南理工大学资源与材料工程系,河南理工大学资源与材料工程系,河南理工大学资源与材料工程系 河南焦作 454003,河南焦作 454003,河南焦作 454003
基金项目:教育部高等学校骨干教师资助计划项目(2096).
摘    要:根据岩石加速蠕变阶段的力学特性,提出用非线性牛顿体替代线性牛顿体,建立改进的西原模型,并导出改进后模型的本构方程.将非线性问题通过局部线性化,得到改进的西原模型的稳定性条件.通过对蠕变、蠕变速度、蠕变加速度的控制变量渐变分析表明,改进的西原模型能够较好地描述岩石三阶段蠕变变形,尤其是非线性加速阶段蠕变变形.

关 键 词:流变模型  稳定性  控制变量  蠕变

The modified Xiyuan model and its stability analysis
ZOU You_ping,ZOU You_feng,Guo Wen_bing.The modified Xiyuan model and its stability analysis[J].Journal of Jiaozuo Institute of Technology(Natural Science),2005(1).
Authors:ZOU You_ping  ZOU You_feng  Guo Wen_bing
Abstract:In order to describe the accelerated creep property of the rock, the modified Xiyuan model has been established by using the non_linear N element to replace the linear one. Then its constitutive equation is derived. In the local scope, non_linear creep question is transferred into linear one, and the stability condition of the modified model is obtained. With analysis of the control variables of the creep deformation, the creep speed and the creep acceleration, the modified Xiyuan model can be used to better describe the three stages of rock sample creep, especially the non_linear accelerating creep stage.
Keywords:rheological model  stability  control variable  cre
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