基于最小能耗原理的花岗岩蠕变损伤分析
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摘要
为了研究花岗岩蠕变损伤特性,采用MTS815.02岩石力学测试系统对花岗岩试样进行了三轴加载试验和分级加载蠕变试验,基于最小耗能原理、广义胡克定律和应变等效原理建立了弹性损伤方程和改进了非线性损伤蠕变模型,分析了花岗岩损伤变量与泊松比之间的变化规律和蠕变损伤过程.研究结果表明基于能量原理并结合任意阶段应力应变状态的损伤方程更合理地描述了岩石损伤发展过程.在耗能过程中损伤泊松比对岩石损伤起重要作用,损伤变量随着泊松比的增加而非线性增加,并逐渐趋于稳定,改进模型计算结果与试验曲线相吻合,较好地描述了岩石衰减蠕变、等速蠕变和加速蠕变的全过程;在岩石蠕变前期损伤速率较为平缓,进入加速蠕变阶段后随着微裂纹在强度弱化区汇聚,损伤速率直线升高且损伤变量突然增大.
To carry out the three axis load test and creep test with step loading axial stress ofgranite samples on the MTS815.02 rock mechanics test system.Based on the principle ofminimum dissipative enegry,generalized Hooke's law and strain equivalence principle,the elastic damage equation and the nonlinear damage creep model are established,andthe variation law and creep damage process of granite damage variable and Poisson'sratio are studied.The results show that Damage Poisson's ratio in the energy dissipationprocess plays an important role in the damage of rock,and the damage variable increaseswith the increase of Poisson's ratio,and tends to be stable.The improved modelcalculation results are in great agreement with the experimental curves,and can greatlydescribe the whole process of rock creep that include the decelerated creep,steady creepand accelerate creep.In the early stage of creep damage,the damage rate is relativelyslow,and with the increase of micro cracks in the strength weakening region,the damagerate increases and the damage variable increases.Based on the energy principle and thedamage equation of the stress and strain state in any time,the damage evolution processof rock damage is more reasonable.
To carry out the three axis load test and creep test with step loading axial stress ofgranite samples on the MTS815.02 rock mechanics test system.Based on the principle ofminimum dissipative enegry,generalized Hooke's law and strain equivalence principle,the elastic damage equation and the nonlinear damage creep model are established,andthe variation law and creep damage process of granite damage variable and Poisson'sratio are studied.The results show that Damage Poisson's ratio in the energy dissipationprocess plays an important role in the damage of rock,and the damage variable increaseswith the increase of Poisson's ratio,and tends to be stable.The improved modelcalculation results are in great agreement with the experimental curves,and can greatlydescribe the whole process of rock creep that include the decelerated creep,steady creepand accelerate creep.In the early stage of creep damage,the damage rate is relativelyslow,and with the increase of micro cracks in the strength weakening region,the damagerate increases and the damage variable increases.Based on the energy principle and thedamage equation of the stress and strain state in any time,the damage evolution processof rock damage is more reasonable.
引文
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[13]高玮,汪磊,杨大勇.岩石损伤演化的能量方法研究[J].岩石力学与工程学报,2011,30(增2):4087-4092Gao Wei,Wang Lei,Yang Dayong.Rock damage evolution based on energy principle[J].Chinese Journal of Rock Mechanics and Engineering,2011,30(S2):4087-4092
[14]丁发兴.圆钢管混凝土结构受力性能与设计方法研究[D].长沙:中南大学,2006Ding Faxing.Behavior and design method of concrete filled circular steel tubular structures[D].Changsha:Central South University,2006
[15]唐松花,罗迎社,周筑宝.基于最小耗能原理的混凝土损伤演变方程[J].暨南大学学报(自然科学与医学版),2005,26(1):69-71Tang Songhua,Luo Yingshe,Zhou Zhubao,et al.Establishing the damage developing equation of con-crete through the principle of minimum dissipation of energy[J].Journal of Jinan University(Natural Science&Medicine Edition),2005,26(1):69-71
[16]丁发兴,余志武.基于损伤泊松比的混凝土多轴强度准则[J].固体力学学报,2007,28(1):13-19Ding Faxing,Yu Zhiwu.Strength criterion for plain concrete under multiaxial stress states based on damage poisson’s ratio[J].Acta Mechanica Solida Sinica,2007,28(1):13-19
[17]刘文彬.岩石蠕变本构模型的辨识及应用[D].北京:北京交通大学,2009Liu Wenbin.Identification and APP lieation of creep constitutive model of rock[D].Beijing:Beijing Jiaotong University,2009
[18]邱战洪,张我华,陈云敏.基于最小耗能原理的黏弹塑性损伤模型[J].岩土力学,2007,28(增1):160-164Qiu Zhanhong,Zhang Wohua,Chen Yunmin.The visco elastic-plastic damage model based on the principle of minimum energy consumption[J].Rock and Soil Mechanics,2007,28(S1):160-164
[19]齐亚静,姜清辉,王志俭,等.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):347-355Qi Yajing,Jiang Qinghui,Wang Zhijian,et al.3Dcreep constitutive equation of modified Nishihara model and its parameters identification[J].Chinese Journal of Rock Mechanics and Engineering,2012,31(2):347-355
[20]陶波,伍法权,郭改梅,等.西原模型对岩石流变特性的适应性及其参数确定[J].岩石力学与工程学报,2005,24(17):3165-3171Tao Bo,Wu Faquan,Guo Gaimei,et al.Flexibility of visco-elastoplastic model to rheological characteristics of rock and solution of rheological parameter[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(17):3165-3171
[21]沈明荣,谌洪菊,张清照.基于蠕变试验的结构面长期强度确定方法[J].岩石力学与工程学报,2012,31(1):1-7Shen Mingrong,Chen Hongju,Zhang Qingzhao.Method for determining long-term strength of discontinuity using shear creep test[J].Chinese Journal of Rock Mechanics and Engineering,2012,31(1):1-7
[2]杨永杰,王德超,郭明福,等.基于三轴压缩声发射试验的岩石损伤特征研究[J].岩石力学与工程学报,2014,33(1):98-104Yang Yongjie,Wang Dechao,Guo Mingfu,et al.Study of rock damage characteristics based on acoustic emission tests under triaxial compression[J].Chinese Journal of Rock Mechanics and Engineering,2014,33(1):98-104
[3]吴刚,翟松韬,王宇.高温下花岗岩的细观结构与声发射特性研究[J].岩土力学,2015,36(增1):351-356Wu Gang,Zhai Songtao,Wang Yu.Research on characteristics of mesostructure and acoustic emission of granite under high temperature[J].Rock and Soil Mechanics,2015,36(S1):351-356
[4]杨永杰,王德超,李博,等.煤岩三轴压缩损伤破坏声发射特征[J].应用基础与工程科学学报,2015,23(1):127-135Yang Yongjie,Wang Dechao,Li Bo,et al.Acoustic emission characteristics of coal damage failure under triaxial compression[J].Journal of Basic Science and Engineering,2015,23(1):127-135
[5]朱万成,魏晨慧,田军,等.岩石损伤过程中的热-流-力耦合模型及其应用初探[J].岩土力学,2009,32(12):3851-3857Zhu Wancheng,Wei Chenhui,Tian Jun,et al.Coupled thermal-hydraulic-mechanical model during rock damage and itspreliminary application[J].Rock and Soil Mechanics,2009,30(12):3851-3857
[6]孙金山,陈明,姜清辉,等.锦屏大理岩蠕变损伤演化细观力学特征的数值模拟研究[J].岩土力学,2013,34(12:)3601-3608Sun Jinshan,Chen Ming,Jiang Qinghui,et al.Numerical simulation of mesomechanical characteristics of creep demage evolution for Jingping marble[J].Rockand Soil Mechanics,2013,34(12):3601-3608
[7]杨永杰,王德超,赵南南,等.煤岩蠕变声发射特征试验研究[J].应用基础与工程科学学报,2013,21(1):159-166Yang Yongjie,Wang Dechao,Zhao Nannan,et al.coustic emission characteristics of coal creep under step load[J].ournal of Basic Science and Engineering,2013,21(1):159-166
[8]张慧梅,杨更社.冻融岩石损伤劣化及力学特性试验研究[J].煤炭学报,2013,38(10):1756-1762Zhang Huimei,Yang Gengshe.Research on damage model of rock under coupling action of freeze-thaw and load[J].Chinese Journal of Rock Mechanics and Engineering,2013,38(10):1756-1762
[9]张慧梅,雷利娜,杨更社.温度与荷载作用下岩石损伤模型[J].岩石力学与工程学报,2014,33(增2):3391-3396Zhang Huimei,Lei Lina,Yang Gengshe.Damage model of rock under temperatrue and load[J].Chinese Journal of Rock Mechanics and Engineering,2014,33(S2):3391-3396
[10]袁小平,刘红岩,王志乔.基于Drucker-Prager准则的岩石弹塑性损伤本构模型研究[J].岩土力学,2012,33(4):1103-1108Yuan Xiaoping,Liu Hongyan,Wang Zhiqiao.Study of elastoplastic damage constitutive model of rocks based on Drucker-Prager criterion[J].Rock and Soil Mechanics,2012,33(4):1103-1108
[11]谢和平,鞠杨,黎立云.基于能量耗散与释放原理的岩石强度与整体破坏准则[J].岩石力学与工程学报,2005,24(17):3003-3010Xie Heping,Ju Yang,Li Liyun.Criteria for strength and structural failure of rocks based on energy dissipation and energy release principles[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(17):3033-3010
[12]金丰年,蒋美蓉,高小玲.基于能量耗散定义损伤变量的方法[J].岩石力学与工程学报,2004,23(12):1976-1980Jin Fengnian,Jiang Meirong,Gao Xiaoling.Defining damage variable based on energy dissipation[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(12):1976-1980
[13]高玮,汪磊,杨大勇.岩石损伤演化的能量方法研究[J].岩石力学与工程学报,2011,30(增2):4087-4092Gao Wei,Wang Lei,Yang Dayong.Rock damage evolution based on energy principle[J].Chinese Journal of Rock Mechanics and Engineering,2011,30(S2):4087-4092
[14]丁发兴.圆钢管混凝土结构受力性能与设计方法研究[D].长沙:中南大学,2006Ding Faxing.Behavior and design method of concrete filled circular steel tubular structures[D].Changsha:Central South University,2006
[15]唐松花,罗迎社,周筑宝.基于最小耗能原理的混凝土损伤演变方程[J].暨南大学学报(自然科学与医学版),2005,26(1):69-71Tang Songhua,Luo Yingshe,Zhou Zhubao,et al.Establishing the damage developing equation of con-crete through the principle of minimum dissipation of energy[J].Journal of Jinan University(Natural Science&Medicine Edition),2005,26(1):69-71
[16]丁发兴,余志武.基于损伤泊松比的混凝土多轴强度准则[J].固体力学学报,2007,28(1):13-19Ding Faxing,Yu Zhiwu.Strength criterion for plain concrete under multiaxial stress states based on damage poisson’s ratio[J].Acta Mechanica Solida Sinica,2007,28(1):13-19
[17]刘文彬.岩石蠕变本构模型的辨识及应用[D].北京:北京交通大学,2009Liu Wenbin.Identification and APP lieation of creep constitutive model of rock[D].Beijing:Beijing Jiaotong University,2009
[18]邱战洪,张我华,陈云敏.基于最小耗能原理的黏弹塑性损伤模型[J].岩土力学,2007,28(增1):160-164Qiu Zhanhong,Zhang Wohua,Chen Yunmin.The visco elastic-plastic damage model based on the principle of minimum energy consumption[J].Rock and Soil Mechanics,2007,28(S1):160-164
[19]齐亚静,姜清辉,王志俭,等.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):347-355Qi Yajing,Jiang Qinghui,Wang Zhijian,et al.3Dcreep constitutive equation of modified Nishihara model and its parameters identification[J].Chinese Journal of Rock Mechanics and Engineering,2012,31(2):347-355
[20]陶波,伍法权,郭改梅,等.西原模型对岩石流变特性的适应性及其参数确定[J].岩石力学与工程学报,2005,24(17):3165-3171Tao Bo,Wu Faquan,Guo Gaimei,et al.Flexibility of visco-elastoplastic model to rheological characteristics of rock and solution of rheological parameter[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(17):3165-3171
[21]沈明荣,谌洪菊,张清照.基于蠕变试验的结构面长期强度确定方法[J].岩石力学与工程学报,2012,31(1):1-7Shen Mingrong,Chen Hongju,Zhang Qingzhao.Method for determining long-term strength of discontinuity using shear creep test[J].Chinese Journal of Rock Mechanics and Engineering,2012,31(1):1-7