改进西原模型的三维蠕变本构方程及其参数辨识

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摘要传统西原模型由虎克体、黏弹性体以及黏塑性体串并联组合而成，难以描述岩石非线性加速蠕变阶段的流变特性。通过在西原模型上串联一个带应变触发的非线性黏壶，提出改进的西原模型，推导岩石在恒应力情况下的三维蠕变本构方程，并采用该流变模型对三峡库区万州红层砂岩流变试验全过程曲线进行辨识，获得模型各参数值。与试验结果的对比分析表明，改进的西原模型不仅可以充分反映岩石初期蠕变、稳定蠕变阶段的流变特性，还可以很好地描述岩石加速蠕变阶段的蠕变规律，明显优于传统的西原模型。加速蠕变是滑坡临滑预报的关键阶段，该模型对加速蠕变阶段的成功描述，对滑坡临滑预报具有一定的指导意义。

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关键词 ：岩石力学, 流变, 西原模型, 加速蠕变, 模型参数

Abstract：The classical Nishihara model is composed of the Hooke body，viscoelastic body and viscoplastic body，which can hardly describe the rheological feature of nonlinear accelerating creep of rocks. By connecting a nonlinear viscous dashpot with a strain trigger and the classical Nishihara model in series，a modified Nishihara model is obtained and a 3D creep constitutive equation for rocks under constant stress is deduced. Through fitting with a rheological curve from experiments on red sandstones from Wanzhou in the Three Gorges reservoir area，parameters of the modified Nishihara model are derived. Comparison between the actual experimental data and the fitting curve of the modified Nishihara model shows that not only an adequate reflection of primary and steady creep stages，but also a well depiction of accelerating creep stage can be obtained. Accelerating creep is a key stage for landslides forecast. So success of the modified Nishihara model in representing this stage contributes greatly to landslide forecasting.

Key words： rock mechanics rheology Nishihara model accelerating creep model parameters

收稿日期: 2011-04-22

引用本文:

齐亚静1，姜清辉1，2，王志俭3，周创兵1，2. 改进西原模型的三维蠕变本构方程及其参数辨识[J]. 岩石力学与工程学报, 2012, 31(2): 347-355.
QI Yajing1，JIANG Qinghui1，2，WANG Zhijian3，ZHOU Chuangbing1，2. 3D CREEP CONSTITUTIVE EQUATION OF MODIFIED NISHIHARA MODEL AND ITS PARAMETERS IDENTIFICATION. , 2012, 31(2): 347-355.

链接本文:

http://www.rockmech.org/CN/Y2012/V31/I2/347

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