基于缺陷生长的岩石应变软化损伤本构模型研究

doi:10.13722/j.cnki.jrme.2017.0934

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摘要

从损伤角度分析岩石压缩变形过程微裂隙的演化特征，结果表明：岩石压缩变形过程可划分为弹性恢复、损伤保持、损伤开始、损伤加速和损伤变缓五个阶段。借助应变等效理论的“弹性模量法”，进一步研究岩石损伤演化规律。在此基础上，从岩石微元角度，建立基于岩石缺陷生长的损伤本构模型，实现对岩石损伤全过程统一、完整的描述。该模型仅用一个简单函数实现对应力–应变全过程的描述，且参数少、物理意义明确。试验数据与理论曲线比较，具有很好的一致性，说明了该模型的合理性。

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	刘冬桥1
	李东1
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	张晓云1
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关键词 ：岩石力学, 压缩试验, 缺陷生长, 应变软化, 损伤演化, 本构模型

Abstract：

The defects evolution characteristics in the complete deformation process of rocks are analyzed，the results show that the stress-strain curves of rocks can be divided into five stages including elasticity recovery，damage retaining，damage initiation，damage acceleration and damage slow-down. Based on the“elastic modulus method”derived from the hypothesis of strain equivalence，damage evolution law is further studied. And a defects grown model is proposed based on the hypothesis of rock micro unit，and it can describe the complete damage evolution process well. Then a damage constitutive model is developed. This model can describe the complete deformation process of rocks satisfactorily. The used mathematical function is simple with just four model parameters，and each parameter has distinct physical meaning. Finally，the theoretical results fit very well with the test results in relevant references，which indicate the rationality of this model.

Key words： rock mechanics compression test defects growth strain softening damage evolution constitutive model

引用本文:

刘冬桥1，李东1，2，张晓云1，2，3. 基于缺陷生长的岩石应变软化损伤本构模型研究[J]. 岩石力学与工程学报, 2017, 36(S2): 3902-3909.
LIU Dongqiao1，LI Dong1，2，ZHANG Xiaoyun1，2，3. A new strain softening damage constitutive model for rocks based on defects growth. , 2017, 36(S2): 3902-3909.

链接本文:

https://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2017.0934 或 https://rockmech.whrsm.ac.cn/CN/Y2017/V36/IS2/3902

[1]	WAWERSIK WR，FAIRHURST C. A study of brittle rock fracture in laboratory compression experiments[J].International JournalofRock MechanicsandMiningScience and Geomechanics Abstracts，1970，7(5)：561-575.
[2]	RUMMEL F，FAIRHURST C. Determination of the post-failure behavior of brittle rock using a servo-controlled testing machine[J]. Rock Mechanics，1970，2(4)：189-204.
[3]	HOEK E AND BROWN ET. Underground excavations in rock[M]. London：Institution of Mining and Metallurgy，1980：43-49.
[4]	FAIRHURST C E，HUDSON J A. Draft ISRM suggested method for the complete stress-strain curve for intact rock in uniaxial compression[J]. International Journal of Rock Mechanics andMining Sciences，1999，36(3)：279-289.
[5]	STAVROGIN A N，TARASOV B G，et al. Strength and deformation of rocks before and after the breakdown point[J]. Soviet Mining，1981，17(6)：487-493.
[1]	王明洋，严东晋，周早生，等. 岩石单轴试验全程应力应变曲线讨论[J].岩石力学与工程学报，1998，17(1)：101-106.(WANGMingyang，YAN Dongjin，ZHOUZaosheng，et al. Discussion on complete stress-strain curves of rocks under uniaxial loading[J]. Chinese Journal of Rock Mechanics and Engineering，1998，17(1)：101-106.(in Chinese))
[1]	付小敏，邓荣贵. 典型岩石应力-应变全过程变形的试验研究[C]// 第八次全国岩石力学与工程学术大会论文集. [S. l.]：[s. n.]，2004：887-890.(FUXiaomin，DENGRpnggui. Testing study on whole stress-strain process of typical rock[C]// Eighth National Rock Mechanicsand Engineering Academic Conference Proceedings. [S. l.]：[s. n.]，2004：887-890.(in Chinese))
[6]	蔡美峰，何满潮，刘东燕. 岩石力学与工程[M]. 北京：科学出版社，2008：53-58.(CAIMeifeng，HEManchao，LIU Dongyan. Rock mechanics and engineering[M]. Beijing：Science Press，2008：53-58.(in Chinese))
[7]	宋卫东，明世祥，王欣，等. 岩石压缩损伤破坏全过程试验研究[J].岩石力学与工程学报，2010，29(2)：4 180-4 187.(SONG Weidong，MING Shixiang，WANG Xin，et al. Experimental study of rock compression-damage-failure process[J]. Chinese Journal of Rock Mechanics and Engineering，2010，29(2)：4 180-4 187.(in Chinese))
[8]	郑虹，冯夏庭，陈祖煜. 岩石力学室内试验ISRM建议方法的标准化和数字化[J].岩石力学与工程学报，2010，29(12)：2 456-2 468.(ZHENG Hong，FENG Xiating，CHEN Zuyu. Standardization and digitization for ISRM suggested methods of rock mechanics laboratory tests[J].Chinese Journal of Rock Mechanics and Engineering，2010，29(12)：2 456-2 468.(in Chinese))
[1]	周维垣，剡公瑞，杨若琼. 岩体弹脆性损伤本构模型及工程应用[J]. 岩土工程学报，1998，20(5)：54-57.(ZHOU Weiyuan，YAN Gongrui，YANGRuoqiong. Elasto-brittle damage model for rockmass based on field tests in Laxiwa arch dam site[J].Chinese Journal of GeotechnicalEngineering，1998，20(5)：54-57.(in Chinese))
[2]	川本眺万，石塚与志雄. ひずみ软化を考虑した岩盘掘削の解析[C]// 土木学会论文集. [S. l.]：[s. n.]，1981：107-118.(KAWAMOTO T，ISHIZUKA Y. An analysis of excavation in strain-softening rock mass[C]//Proceedings of the Japan Society of Civil Engineers. [S. l.]：[s. n.]，1981：107-118.(in Japanese))
[1]	卢允德，葛修润，蒋宇，等. 大理岩常规三轴压缩全过程试验和本构方程的研究[J]. 岩石力学与工程学报，2004，23(15)：2489- 2493.(LU Yunde，GE Xiurun，JIANG Yu，et al.Study on conventional triaxial compression test of complete process for marble and its constitutive equation[J]. Chinese Journal of Rock Mechanics and Engineering，2004，23(15)：2489-2493.(in Chinese))
[2]	李世平. 岩石力学简明教程[M]. 煤炭工业出版社，1996：5-19.(LI Shiping. Rock mechanicsconcise course[M]. China Coal Industry Publishing House，1996：5-19.(in Chinese))
[3]	MAZARS J，BOERMAN D J，PIATTI G. Mechanical damage and fracture of concrete structures[C]//ICF5. Cannes(France)：[s. n.]，1981：1 499-1 506.
[3]	LOLAND K E. Continuous damage model for load-response estimation of concrete[J]. Cement and Concrete Research，1980，10(3)：395-402.
[4]	唐春安. 岩石破裂过程中的灾变[M]. 北京：煤炭工业出版社，1993：10-27.(TANG Chunan. Break in rockfailure[M]. Beijing：China Coal Industry PublishingHouse，1993：10-27.( in Chinese))
[1]	CAI M，KAISER P K，TASAKA Y，et al. Generalized crack initiation and crack damage stress thresholds of brittle rock masses near underground excavations[J]. International Journal of Rock Mechanics andMining Sciences.，2004，41(5)：833-847.
[2]	LEMAITRE J. A continuous damage mechanics model for ductile materials[J]. Journalof Engineering Materials and Technology，1985，107(1)：83-89.
[3]	KACHANOV L M. On creep rupture time[J]. Izv. Acad. Nauk SSSR, Otd. Techn. Nauk，1958，8：26-31.
[4]	RABOTNOV Y N. Creep rupture[M]. [S. l.]：Springer Berlin Heidelberg，1969：342-349.
[1]	谢和平，鞠杨，董毓利. 经典损伤定义中的“弹性模量法”探讨[J]. 力学与实践，1997，19(2)：1-5.(XIE Heping，JU Yang，DONG Yuli.Discussion on the method of elastic module in theclassic damage definition[J]. Mechanics and Practice，1997，19(2)：1-5.(in Chinese))
[5]	张全胜，杨更社，任建喜. 岩石损伤变量及本构方程的新探讨[J]. 岩石力学与工程学报，2003，22(1)：30-34.(ZHANG Quansheng，YANGGengshe，REN Jianxi. New study of damage variable and constitutive equation of rock[J]. Chinese Journal of Rock Mechanics and Engineering，2003，22(1)：30-34.(in Chinese))
[9]	任建喜，葛修润. 单轴压缩岩石损伤演化细观机制及其本构模型研究[J]. 岩石力学与工程学报，2001，20(4)：425-431.(REN Jianxi，GE Xiurun. Study of rock meso-damage evolution law and its constitutive model under uniaxial compression loading[J]. Chinese Journalof Rock Mechanics and Engineering，2001，20(4)：425-431.(in Chinese))
[10]	陈剑平. 岩土体变形的耗散结构认识[J]. 长春科技大学学报，2001，31(3)：288-293.(CHEN Jianping.Towards understanding of dissipative structure deformation process of rock and soil mass[J]. Journal of Changchun University of Science and Technology，2001，31(3)：288-293.(in Chinese))
[11]	叶其孝，姜启源. 数学建模[M]. 3版. 北京：机械工业出版社，2005：8-10.(YEQixiao，JIANGQiyuan. A first course in mathematical modeling[M]. 3rd ed. Beijing：China Machine Press，2005：8-10.(in Chinese))
[12]	杨海清，周小平. 灰岩单轴压缩损伤演化试验研究[J]. 土木工程学报，2010，43(5)：117-123.(YANGHaiqing，ZHOUXiaoping.Experimental investigation of damage evolution of Huanglong limestone under uniaxial compression[J]. China Civil Engineering Journal，2010，43(5)：117-123.(in Chinese))
[1]	秦跃平. 岩石损伤力学模型及其本构方程的探讨[J]. 岩石力学与工程学报，2001，20(4)：560.(QINYueping. Discussion on damage mechanics model and constitutive equation of rock[J]. Chinese Journal of Rock Mechanics and Engineering，2001，20(4)：560.(in Chinese))
[2]	曹文贵，赵衡，李翔，等. 基于残余强度变形阶段特征的岩石变形全过程统计损伤模拟方法[J]. 土木工程学报，2012，45(6)：139-145.(CAO Wengui，ZHAOHeng，LIXiang，et al. A statistical damage simulation method forrock full deformation process withconsideration of the deformation characteristics of residual strength phase[J]. China Civil Engineering Journal，2012，45(6)：139-145.(in Chinese))
[3]	尹光志，代高飞，万玲，等. 岩石微裂纹演化的分岔混沌与自组织特征[J]. 岩石力学与工程学报，2002，21(5)：635-639.(YINGuangzhi，DAIGaofei，WANGLing，et al. Characteristics of bifurcation，chaos and self-organization of evolution of micro-cracks in rock[J]. Chinese Journal of Rock Mechanics and Engineering， 2002，21(5)：635-639.(in Chinese))
[13]	张志镇，高峰. 单轴压缩下岩石能量演化的非线性特性研究[J]. 岩石力学与工程学报，2012，31(6)：1 198-1 207.(ZHANG Zhizhen，GAO Feng. Research on nonlinear characteristics of rock energy evolution under uniaxial compression[J]. Chinese Journal of Rock Mechanics and Engineering，2012，31(6)：1 198-1 207.(in Chinese))