考虑温度和体积应力的分数阶蠕变损伤Burgers模型

doi:10.13722/j.cnki.jrme.2020.0734

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摘要盐腔是石油、天然气和高放射性核废料深地储存的理想屏蔽围岩，考虑到深地盐岩地层中温度和体积应力联合影响，基于细观概率体元强度的威布尔(Weibull)分布构建损伤变量，利用Drucker-Prager强度准则描述微观线弹性脆性破坏，引入考虑塑性损伤的广义胡克定量描述样品尺度损伤，从而建立三轴压缩条件下静态本构模型。进一步将非线性分数阶黏壶和三轴压缩条件下静态本构引入至Burgers模型中，建立考虑温度和体积应力的分数阶蠕变损伤Burgers模型。结果表明：新模型可很好地模拟蠕变全过程试验变形数据，且对温度和体积应力比较敏感，尤其是可以有效地模拟加速蠕变变形。

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	作者相关文章
	薛东杰1
	2
	路乐乐1
	易海洋3
	武志德4
	张庆森1
	张泽朋1

关键词 ：岩石力学, 全阶段建模, 三轴压缩蠕变, 分数阶蠕变, Burgers模型

Abstract：Salt cavern is an ideal shielding rock for deep storage of oil，natural gas and high-level radioactive nuclear waste. Considering the combined influence of temperature and volume-stress in deep，a damage variable is proposed based on the Weibull distribution of random failure of meso-scale element. The Drucker-Prager criterion is used to describe the brittle failure in the linear deformation at meso-scale，and the generalized Hook's Law considering the plastic damage is introduced to describe the sample-scale damage. As a result，a static constitutive model under triaxial compression is effectively established. Furthermore，introducing both the static constitutive model and the nonlinear fractional viscosity dashpot into Burgers model，a fractional Burgers model with creep damage considering the temperature and the volume stress is effectively established. The results show that the new model，sensitive to the temperature and the volume stress，can well simulate the creep deformation in whole evolution，especially for the accelerated creep deformation.

Key words： rock mechanics full-stage modeling triaxial creep fractional creep Burgers model

引用本文:

薛东杰1，2，路乐乐1，易海洋3，武志德4，张庆森1，张泽朋1. 考虑温度和体积应力的分数阶蠕变损伤Burgers模型[J]. 岩石力学与工程学报, 2021, 40(2): 315-329.
XUE Dongjie1，2，LU Lele1，YI Haiyang3，WU Zhide4，ZHANG Qingsen1，ZHANG Zepeng1. A fractional Burgers model for uniaxial and triaxial creep of damaged salt-rock considering temperature and volume-stress. , 2021, 40(2): 315-329.

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http://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2020.0734 或 http://rockmech.whrsm.ac.cn/CN/Y2021/V40/I2/315

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