基于应力与时间双阈值的岩石全时态非线性蠕变损伤模型

doi:10.13722/j.cnki.jrme.2022.1147

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摘要为了更恰当地描述岩石蠕变损伤过程的非线性变形规律，建立损伤因子与时间的函数，以应力和时间作为控制因素对岩石蠕变阶段进行重新划分，引入瞬时塑性体元件改进Bingham体，串联村山体以及CYJ体分别对蠕变各阶段进行描述，并结合损伤理论对模型中的弹性元件和黏性元件进行处理，建立岩石的一维和三维非线性蠕变损伤模型本构方程。通过室内三轴压缩蠕变分级加载及卸载试验给出岩石蠕变过程中村山体，CYJ体的弹性元件和黏性元件参数演化规律，以及损伤效应的累积发展趋势，并对该过程进行参数识别，对比验证所建立模型的可行性与正确性。研究表明：模型中村山体弹性元件的硬化作用与黏性元件的损伤作用，两者之间的动态演化构成了岩石等速蠕变阶段的变形特点，表现在等时应力–应变曲线中两拐点之间的平衡关系；CYJ体中时间与应力的共同作用促进了黏性元件与岩石自身损伤之间的相互叠加，进一步削弱岩石抵抗变形的能力，从损伤累积发展曲线上可以得到验证，随着应力的增大和时间效应的显现，岩石损伤累积呈现指数增加，岩石的蠕变过程是关于损伤产生→扩散→累积→释放的全过程。在模型参数识别验证中，拟合曲线与试验曲线的相关系数R2达到了0.982，验证了构建的全时态非线性蠕变损伤模型的可行性。采用非线性元件和损伤力学处理相结合的方法来构建岩石的全时态非线性蠕变损伤模型，不仅能够表征整个蠕变过程的损伤演化，而且能够准确描述岩石加速蠕变阶段的非线性变形规律，是对蠕变模型构建方法的一种新的尝试。

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	于冰冰
	李清
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	高正华
	王凯

关键词 ：岩石力学；应力&ndash, 时间双阈值；非线性变形；蠕变损伤；全时态；损伤累积

Abstract：In order to more appropriately describe the nonlinear deformation law of the rock creep damage process and to establish a function between damage factor and time，the stress and time are used as controlling factors to re-divide the rock creep stages，and the instantaneous plastic element is introduced to improve Bingham body. Improved Bingham body，Murayama body and CYJ body are held together to describe each stage of creep respectively. Then，elastic and viscous components in the model are treated by damage theory. The one-dimensional and three-dimensional nonlinear creep damage model principal structure equations of the rock are established. By indoor triaxial compression creep graded loading and unloading tests，the evolution law for elastic and viscous element parameters(Murayama body，CYJ body) during rock creep are given. Then，obtained the cumulative development trend of the damage effect，which can be identified the process parameters. Last，the feasibility and correctness of the established model are verified by comparison. The study shows that：the hardening effect of the elastic element and the damage effect of the viscous element in the Murayama body，the dynamic evolution between the two constitutes the deformation characteristics of the isokinetic creep phase of the rock，which is manifested in the equilibrium relationship between the two inflection points of isochronous stress-strain curve. Between the viscous element and the rock's own damage，the joint action of time and stress in the CYJ body promotes the mutual superposition，further weakening the rock?s resistance to deformation，which can be verified from the damage accumulation development curve. By stress increase and time effect，the rock damage accumulation shows exponential increase，the creep process of the rock becomes the whole process of damage generation→diffusion→accumulation→release. In the model parameter identification and verification，the correlation coefficient R2 reached 0.982 with the fitted curve and the test curve，which verified the feasibility of the constructed all-time nonlinear creep damage model. A full-temporal nonlinear creep damage model for rocks，constructed by nonlinear components and damage mechanics treatment，can not only characterize the damage evolution of the whole creep process，but also accurately describe the nonlinear deformation law of the accelerated creep stage of rocks. This is new attempt to the creep model construction method.

Key words： rock mechanics stress-time double threshold nonlinear deformation creep damage full-time state damage accumulation

引用本文:

于冰冰，李清，赵桐德，黄晨，高正华，王凯. 基于应力与时间双阈值的岩石全时态非线性蠕变损伤模型[J]. 岩石力学与工程学报, 2023, 42(8): 1928-1944.
YU Bingbing，LI Qing，ZHAO Tongde，HUANG Chen，GAO Zhenghua，WANG Kai. Full-time nonlinear creep damage model of fractured rock mass based on stress-time double threshold. , 2023, 42(8): 1928-1944.

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http://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2022.1147 或 http://rockmech.whrsm.ac.cn/CN/Y2023/V42/I8/1928

[20]	VLADO A L. Elasto-plasticity theory[M]. [S. l.]：CRC Press，2010：84-105.
[10]	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)：1 085-1 092.(ZHANG Liangliang，WANG Xiaojian. Viscoelastic-plastic damage creep model for rock[J]. Chinese Journal of Geotechnical Engineering，2020，42(6)：1 085-1 092.(in Chinese))
[14]	许宏发. 软岩强度和弹模的时间效应研究[J]. 岩石力学与工程学报，1997，26(3)：47-52.(XU Hongfa. Time dependent behaviours of strength and elasticity modulus of weak rock[J]. Chinese Journal of Rock Mechanics and Engineering，1997，26(3)：47-52.(in Chinese))
[24]	侯公羽. 岩石力学基础教程[M]. 北京：机械工业出版社，2011：48-57.(HOU Gongyu. Rock mechanics basis course[M]. Beijing：China Machine Press，2011：48-57.(in Chinese))
[2]	程爱平，付子祥，刘立顺，等. 胶结充填体蠕变硬化-损伤特征及非线性本构模型[J]. 采矿与安全工程学报，2022，39(3)：449-457.(CHENG Aiping，FU Zixiang，LIU Lishun，et al. Creep hardening-damage characteristics and nonlinear constitutive model of cemented backfill[J]. Journal of Mining and Safety Engineering，2022，39(3)：449-457.(in Chinese))
[5]	王玮玮，刘新喜，李盛南，等. 干湿循环对炭质泥岩蠕变及损伤特性的影响[J]. 湖南大学学报：自然科学版，2022，49(9)：173-181.(WANG Weiwei，LIU Xinxi，LI Shengnan，et al. Study on effect of wetting and drying cycles on creep and damage characteristics of carbonaceous mudstone[J]. Journal of Hunan University：Natural Science，2022，49(9)：173-181.(in Chinese))
[7]	张强勇，向文，江力宇. 片麻状花岗岩热黏弹塑性损伤蠕变模型及应用研究[J]. 土木工程学报，2017，50(8)：88-97.(ZHANG Qiangyong，XIANG Wen，JIANG Liyu. A thermal-visco-elastoplastic damage creep model for gneissic granite and its practical application[J]. China Civil Engineering Journal，2017，50(8)：88-97.(in Chinese))
[9]	苏荣华，李超，马志远. 考虑初始损伤效应的砂岩蠕变扰动特性研究[J]. 中国安全科学学报，2021，31(9)：36-43.(SU Ronghua，LI Chao，MA Zhiyuan. Study on creep disturbance characteristics of sandstone considering initial damage effect[J]. China Safety Science Journal，2021，31(9)：36-43.(in Chinese))
[11]	张亮亮，王晓健，周瑞鹤. 一种新的岩石非线性黏弹塑性蠕变模型研究[J]. 力学季刊，2020，41(1)：116-124.(ZHANG Liangliang，WANG Xiaojian，ZHOU Ruihe. A new nonlinear viscoelastic-plastic creep model for rocks[J]. Chinese Quarterly of Mechanics，2020，41(1)：116-124.(in Chinese))
[16]	李宏哲，夏才初，王晓东，等. 含节理大理岩变形和强度特性的试验研究[J]. 岩石力学与工程学报，2008，27(10)：2 118-2 123.(LI Hongzhe，XIA Caichu，WANG Xiaodong，et al. Experimental study on deformation and strength properties of jointed marble specimens[J]. Chinese Journal of Rock Mechanics and Engineering，2008，27(10)：2 118-2 123.(in Chinese))
[23]	PERZYNA P. Fundamental problems in visco-plasticity[J]. Advance in Applied Mechanics，1966，9(9)：353-377.
[3]	陆银龙，王连国. 基于微裂纹演化的岩石蠕变损伤与破裂过程的数值模拟[J]. 煤炭学报，2015，40(6)：1 276-1 283.(LU Yinlong，WANG Lianguo. Numerical modeling of time-dependent damage and failure process of rocks based on micro-crack propagation[J]. Journal of China Coal Society，2015，40(6)：1 276-1 283.(in Chinese))
[12]	刘新喜，童庆闯，侯勇. 高应力泥质粉砂岩非线性蠕变损伤模型研究[J]. 中国公路学报，2018，31(2)：280-288.(LIU Xinxi，TONG Qingchuang，HOU Yong. Research on nonlinear creep damage model of high stress argillaceous siltstone[J]. China Journal of Highway and Transport，2018，31(2)：280-288.(in Chinese))
[18]	蒋昱州，王瑞红，朱杰兵，等. 砂岩的蠕变与弹性后效特性试验研究[J]. 岩石力学与工程学报，2015，34(10)：2 010-2 017.(JIANG Yuzhou，WANG Ruihong，ZHU Jiebing，et al. Experimental study of creep and elastic aftereffect of sandstone[J]. Chinese Journal of Rock Mechanics and Engineering，2015，34(10)：2 010-2 017.(in Chinese))
[21]	邹佳成. 基于FLAC～(3D)的西原流变模型的程序实现及工程应用[硕士学位论文][D]. 北京：中国地质大学，2018.(ZOU Jiacheng. Program development and engineering application of Nishihara model based on FLAC～(3D)[M. S. Thesis][D]. Beijing：China University of Geosciences(Beijing)，2018.(in Chinese))
[25]	赵延林，曹平，文有道，等. 岩石弹黏塑性流变试验和非线性流变模型研究[J]. 岩石力学与工程学报，2008，27(3)：477-486.(ZHAO Yanlin，CAO Ping，WEN Youdao，et al. Elastovisco-plastic rheological experiment and nonlinear rheological model of rocks[J]. Chinese Journal of Rock Mechanics and Engineering，2008，27(3)：477-486.(in Chinese))
[27]	陈文玲，赵法锁，弓虎军. 基于微观试验的云母石英片岩蠕变损伤变量研究[J]. 岩石力学与工程学报，2011，30(增1)：2 661- 2 666.(CHEN Wenling，ZHAO Fasuo，GONG Hujun. Study of creep damage variable of mica-quartzose schisit based on microscopic test[J]. Chinese Journal of Rock Mechanics and Engineering，2011，30(Supp.1)：2 661-2 666.(in Chinese))
[1]	方焘，刘新荣，黄明. 不同建模假定下岩石损伤黏弹模型的参数转换关系探讨[J]. 岩土力学，2012，33(7)：2 000-2 006.(FANG Tao，LIU Xinrong，HUANG Ming. Transformational relations between parameters of rock damage viscoelastic model using different modeling approaches[J]. Rock and Soil Mechanics，2012，33(7)：2 000-2 006. (in Chinese))
[19]	张宁，赵阳升，万志军，等. 高温三维应力下花岗岩三维蠕变的模型研究[J]. 岩石力学与工程学报，2009，28(5)：875-881.(ZHANG Ning，ZHAO Yangsheng，WAN Zhijun，et al. Model study of three-dimensional granite creep properties under high temperature[J]. Chinese Journal of Rock Mechanics and Engineering，2009，28(5)：875-881.(in Chinese))
[28]	范华林，金丰年. 岩石流变损伤模型的探讨[C]// 面向国民经济可持续发展战略的岩石力学与岩石工程——中国岩石力学与工程学会第五次学术大会论文集. [S. l.]：[s. n.]，1998：138-143.(FAN Hualin，JIN Fengnian. Study of rock rheology damage model[C]// Rock Mechanics and Rock Engineering for Sustainable Development Strategy of National Economy-Proceedings of the Fifth Academic Conference of China Society of Rock Mechanics and Engineering. [S. l.]：[s. n.]，1998：138-143.(in Chinese))
[6]	唐志强，吉锋，许汉华，等. 豫南燕山期花岗岩蠕变特性及非线性蠕变损伤模型[J]. 科学技术与工程，2022，22(16)：6 421- 6 429.(TANG Zhiqiang，JI Feng，XU Hanhua，et al. Creep characteristics and nonlinear creep damage model of Yanshanian granite in southern Henan[J]. Science Technology and Engineering，2022，22(16)：6 421-6 429.(in Chinese))
[8]	杨逾，魏珂，刘文洲. 基于Lemaitre原理改进砂岩蠕变损伤模型研究[J]. 力学季刊，2018，39(1)：164-170.(YANG Yu，WEI Ke，LIU Wenzhou. Study on the creep damage model of sandstone based on the principle of Lemaitre improvement[J]. Chinese Quarterly of Mechanics，2018，39(1)：164-170.(in Chinese))
[15]	徐卫亚，杨圣奇，褚卫江. 岩石非线性黏弹塑性流变模型(河海模型)及其应用[J]. 岩石力学与工程学报，2006，25(3)：433-447.(XU Weiya，YANG Shengqi，CHU Weijiang. Nonlinear viscoelasto-plastic rheological model(Hohai Model) of rock and its engineering application[J]. Chinese Journal of Rock Mechanics and Engineering，2006，25(3)：433-447.(in Chinese))
[17]	蒲成志，曹平，张春阳，等. 考虑时效损伤劣化的变参数非线性蠕变损伤模型[J]. 工程力学，2017，34(6)：17-27.(PU Chengzhi，CAO Ping，ZHANG Chunyang，et al. Variable parameters nonlinear creep damage model of rock with consideration of aging，damage and deterioration[J]. Engineering Mechanics，2017，34(6)：17-27.(in Chinese))
[26]	范秋雁，阳克青，王渭明. 泥质软岩蠕变机制研究[J]. 岩石力学与工程学报，2010，29(8)：1 555-1 561.(FAN Qiuyan，YANG Keqing，WANG Weiming. Study of creep mechanism of argillaceous soft rocks[J]. Chinese Journal of Rock Mechanics and Engineering，2010， 29(8)：1 555-1 561.(in Chinese))
[4]	王其虎，叶义成，刘艳章. 考虑初始损伤和蠕变损伤的岩石蠕变全过程本构模型[J]. 岩土力学，2016，37(增1)：57-62.(WANG Qihu，YE Yicheng，LIU Yanzhang. A creep constitutive model of rock considering initial damage and creep damage[J]. Rock and Soil Mechanics，2016，37(Supp. 1)：57-62.(in Chinese))
[13]	VOYIADJIS G Z，KATTAN P I. Damage mechanics[M]. [S. l.]：CRC Press，2005：114-128.
[22]	曹平，黄磊，陈瑜，等. 考虑节理影响的岩体非线性蠕变模型[J]. 中南大学学报：自然科学版，2018，49(2)：401-406.(CAO Ping，HUANG Lei，CHEN Yu，et al. Nonlinear rheological model of rock considering the effects of joints[J]. Journal of Central South University：Science and Technology，2018，49(2)：401-406.(in Chinese))