|本期目录/Table of Contents|

[1]张怡斌,张亦海,马海涛,等.岩石非线性黏弹塑性损伤蠕变模型研究及其参数识别*[J].中国安全生产科学技术,2023,19(6):13-19.[doi:10.11731/j.issn.1673-193x.2023.06.002]
　ZHANG Yibin,ZHANG Yihai,MA Haitao,et al.Study on nonlinear viscoelasto-plastic damage creep model of rock and its parameter identification[J].JOURNAL OF SAFETY SCIENCE AND TECHNOLOGY,2023,19(6):13-19.[doi:10.11731/j.issn.1673-193x.2023.06.002]
点击复制

岩石非线性黏弹塑性损伤蠕变模型研究及其参数识别*
分享到：

《中国安全生产科学技术》[ISSN:1673-193X/CN:11-5335/TB]

卷:
19
期数:
2023年6期
页码:
13-19
栏目:
学术论著
出版日期:
2023-06-30

文章信息/Info

Title:
Study on nonlinear viscoelasto-plastic damage creep model of rock and its parameter identification
文章编号:
1673-193X(2023)-06-0013-07
作者:
张怡斌; 张亦海; 马海涛; 于正兴
（1.中国安全生产科学研究院，北京 100012；
2.中安国泰(北京) 科技发展有限公司，北京 100012）
Author(s):
ZHANG Yibin;  ZHANG Yihai;  MA Haitao;  YU Zhengxing
(1.China Academy of Safety Science and Technology,Beijing 100012,China;
2.Cathay Safety Technology Co.,Ltd.,Beijing 100012,China)
关键词:
岩石蠕变; 饱依丁-汤姆逊体; 非线性黏弹塑性体; 参数识别
Keywords:
rock creep;  Poyting-Thomson body;  nonlinear viscoelasto-plastic body;  parameter identification
分类号:
X936；TU45
DOI:
10.11731/j.issn.1673-193x.2023.06.002
文献标志码:
A
摘要:
为更加准确地描述岩石初始蠕变阶段的非线性特征，采用非线性黏性元件替代汤姆逊体（Poyting-Thomson）中的线性黏性元件，建立非定常参数的汤姆逊体。将改进后的汤姆逊体与黏性元件及考虑损伤变量的黏塑性体串联，建立1种新的岩石非线性黏弹塑性流变模型，并推导出该模型的一维及三维蠕变本构方程。研究结果表明：该模型能充分反映岩石蠕变阶段的损伤破裂过程。结合Levenberg-Marquardt算法对蠕变曲线进行分析和模型参数识别，新的岩石非线性黏弹塑性流变模型与蠕变试验数据拟合结果相关系数在0.96以上，表明该模型能够准确地描述岩石在低应力下减速蠕变阶段、等速蠕变阶段，能够更准确描述岩石在高应力下的加速蠕变特征。研究结果可为岩体工程的长期稳定性研究提供理论依据。
Abstract:
In order to describe the nonlinear characteristics of the initial creep stage of rock more accurately,the nonlinear viscous element was used to replace the linear viscous element in the Poyting-Thomson body,and the Thomson body with unsteady parameters was established.A new nonlinear viscoelasto-plastic rheological model of rock was established by connecting the improved Thomson body with the viscous element and the viscoplastic body considering the damage variable,and the one-dimensional and three-dimensional creep constitutive equations of the model were derived.The results showed that the model can fully reflect the damage and fracture process of rock in creep stage.Combined with Levenberg-Marquardt algorithm to analyze the creep curve and identify the model parameters,the correlation coefficient between the new nonlinear viscoelasto-plastic rheological model of rock and the fitting results of creep test data is above 0.96,indicating that the model can accurately describe the deceleration creep stage and the constant creep stage of rock under low stress,moreover,it can accurately describe the accelerated creep characteristics of rock under high stress.The research results can provide theoretical basis for the long-term stability research of rock mass engineering.

参考文献/References:

［1］刘东燕,谢林杰,庹晓峰,等.不同围压作用下砂岩蠕变特性及非线性黏弹塑性模型研究［J］.岩石力学与工程学报,2017,36(S2):3705-3712. LIU Dongyan,XIE Linjie,TUO Xiaofeng,et al.Creep properties of sandstone under different confining pressures and research on a nonlinear viscoelasto-plastic creep model［J］.Chinese Journal of Rock Mechanics and Engineering,2017，36(S2)：3705-3712.
［2］杨秀荣,姜谙男,江宗斌,等.含水状态下软岩蠕变试验及损伤模型研究［J］.岩土力学,2018，39(S1):167-174. YANG Xiurong,JIANG Annan,JIANG Zongbin,et al.Creep test and damage model of soft rock under water containing condition［J］.Rock and Soil Mechanics,2018，39(S1):167-174.
［3］王永岩,郭鹏,王艳春,等.基于饱依丁-汤姆逊模型的软岩损伤蠕变模型［J］.应用力学学报,2020，37(1):346-350,492. WANG Yongyan,GUO Peng,WANG Yanchun,et al.Creep model of soft rock considering creep damage based on Poyting-Thomson model［J］.Chinese Journal of Applied Mechanics，2020,37(1):346-350,492.
［4］刘文博,张树光,陈雷.基于统计损伤原理的岩石加速蠕变模型研究［J］.岩土工程学报,2020，42(9):1696-1704. LIU Wenbo,ZHANG Shuguang,CHEN Lei.Accelerated creep model for rock based on statistical damage principle［J］.Chinese Journal of Geotechnical Engineering,2020，42(9):1696-1704.
［5］蒋海飞,刘东燕,黄伟.高围压下高孔隙水压对岩石蠕变特性的影响［J］.煤炭学报,2014，39(7):1248-1256. JIANG Haifei,LIU Dongyan,HUANG Wei.Influence of high pore water pressure on creep properties of rock under high confining pressure［J］.Journal of China Coal Society,2014，39(7):1248-1256.
［6］苏腾,周宏伟,赵家巍.基于变阶分数阶导数的岩石蠕变模型［J］.岩石力学与工程学报,2019,38(7):1355-1363. SU Teng,ZHOU Hongwei,ZHAO Jiawei.A creep model of rock based on variable order fractional derivative［J］.Chinese Journal of Rock Mechanics and Engineering,2019,38(7):1355-1363.
［7］张亮亮,王晓健.岩石黏弹塑性损伤蠕变模型研究［J］.岩土工程学报，2020，42(6):1085-1092. ZHANG Liangliang,WANG Xiaojian.Viscoelastic-plastic damage creep model for rock［J］.Chinese Journal of Geotechnical Engineering 2020，42(6): 1085-1092.
［8］KACHANOV M,MONTAGUT E.Interaction of a crack with certain microcrack arrays［J］.Engineering Fracture Mechanics,1986,25(5-6):625-636.
［9］KACHANOV L M,KRAJCINOVIC D.Introduction to continuum damage mechanics［J］.Journal of Applied Mechanics,1986,54(2):481.
［10］张亮亮,王晓健.基于广义伯格斯模型的岩石损伤蠕变模型［J］.中国安全科学学报,2019,29(1):125-131. ZHANG Liangliang,WANG Xiaojian.Rock damage creep model based on generalized Burgers model［J］.China Safety Science Journal,2019,29(1):125-131.
［11］谢文健,龚囱,刘勇锋,等.分级加载条件下红砂岩蠕变特性试验研究［J］.中国安全生产科学技术,2017,13(6):34-39. XIE Wenjian,GONG Cong,LIU Yongfeng,et al.Experimental study on creep characteristics of red sandstone under step loading［J］.Journal of Safety Science and Technology,2017,13(6):34-39.
［12］张千贵,梁永昌,范翔宇.基于能量守恒定律对西原模型的改进与验证［J］.重庆大学学报,2016,39(3):117-124. ZHANG Qiangui,LIANG Yongchang,FAN Xiangyu.A modified nishihara model based on the law of the conservation of energy and experimental verification［J］.Journal of Chongqing University,2016,39(3):117-124.
［13］韩阳,谭跃虎,李二兵.岩石非定常Burgers蠕变模型及其参数识别［J］.工程力学,2018,35(3):210-217. HAN Yang,TAN Yuehu,LI Erbing.Non-stationary burgers creep model of rock and its parameter identification［J］.Engineering Mechanics,2018,35(3):210-217.
［14］李克钢,秦庆词,杨宝威,等.考虑初始宏细观缺陷的裂隙岩体损伤本构模型研究［J］.中国安全生产科学技术,2018,14(12):90-96. LI Kegang,QIN Qingci,YANG Baowei,et al.Study on constitutive model of fractured rock mass damage considering initial macroscopic and microscopic defects［J］.Journal of Safety Science and Technology,2018,14(12):90-96.
［15］沙博文,朱其志,闵中泽.花岗岩蠕变特性及分数阶黏弹塑性模型研究［J］.中国安全生产科学技术,2020,16(3):24-30. SHA Bowen,ZHU Qizhi,MIN Zhongze.Study on creep characteristics and fractional-order visco-elastoplastic model of granite［J］.Journal of Safety Science and Technology,2020,16(3):24-30.

相似文献/References:

备注/Memo

备注/Memo:
收稿日期： 2023-02-20
* 基金项目： 国家重点研发计划项目(2021YFC3090403)；中国安全生产科学研究院基本科研业务费专项资金项目（2022JBKY14）
作者简介： 张怡斌，硕士，主要研究方向为边坡稳定性分析及岩体力学。
通信作者： 张亦海，博士，高级工程师，主要研究方向为边坡滑坡预警预报。
更新日期/Last Update: 2023-07-09