|
|
|
| Statistical damage constitutive model of rock brittle-ductile transition
based on strength theory |
| ZHANG Chao1，2，YU Jin2，BAI Yun1，CAO Wengui3，ZHANG Sheng4，GUO Zhiguang1
|
| (1. Hunan Provincial Key Laboratory of Geotechnical Engineering for Stability Control and Health Monitoring，Hunan University of Science and Technology，Xiangtan，Hunan 411201，China；2. College of Civil Engineering，Huaqiao University，Xiamen，
Fujian 361021，China；3. College of Civil Engineering，Hunan University，Changsha，Hunan 410082，China；
4. College of Civil Engineering，Central South University，Changsha，Hunan 410075，China)
|
|
|
|
|
Abstract The simulation of the transformation process of rock brittle-ductile property is one of the important contents of the existing statistical damage constitutive model theory. Firstly，based on the triaxial compression test data，the influence law of confining pressure level change on rock stress eigenvalue and its brittleness index is analyzed. In view of the fact that the M-C strength criterion can only predict stress eigenvalue at low confining pressure levels，a new rock strength criterion which can be applied to predict the large range variation of confining pressure level is proposed. Then，combined with the statistical damage theory，a statistical damage evolution model based on strength theory is established. On the basis of the damage model considering the residual strength characteristics，a statistical damage constitutive model of brittle-ductile transformation is established，and the determination methods of parameters are given. Finally，the analysis of marble test data shows that the strength criterion in this paper can well predict the change law of marble stress eigenvalue，and the model can well simulate the transformation process of marble brittle-ductile property. It is revealed that the key factor that the existing statistical damage model cannot simulate the transformation of brittle-ductile property is that it lacks the strength criterion applicable to the condition of large range changes in confining pressure level，and ignores the influence of the deviation degree of the predicted value of stress eigenvalue on the model curve，which widens the applicability range of the existing statistical damage constitutive model theory to the stress level.
|
|
|
|
|
|
| [1] 文志杰，田 雷，蒋宇静，等. 基于应变能密度的非均质岩石损伤本构模型研究[J]. 岩石力学与工程学报，2019，38(7)：1 332–1 343. (WEN Zhijie，TIAN Lei，JIANG Yujing，et al. Research on damage constitutive model of inhomogeneous rocks based on strain energy density[J]. Chinese Journal of Rock Mechanics and Engineering，2019，38(7)：1 332–1 343.(in Chinese))
[2] 张 超，杨期君，曹文贵. 考虑峰值后区应力跌落速率的脆岩损伤本构模型研究[J]. 岩土力学，2019，40(8)：3 099–3 106.(ZHANG Chao，YANG Qijun，CAO Wengui. Study of damage constitutive model of brittle rock considering post-peak stress dropping rate[J]. Rock and Soil Mechanics，2019，40(8)：3 099–3 106.(in Chinese))
[3] 刘冬桥，王 焯，张晓云. 岩石应变软化变形特性及损伤本构模型研究[J]. 岩土力学，2017，38(10)：2 901–2 908.(LIU Dongqiao，WANG Zhuo，ZHANG Xiaoyun. Characteristics of strain softening of rocks and its damage constitutive model[J]. Rock and Soil Mechanics，2017，38(10)：2 901–2 908.(in Chinese))
[4] DENG J，GU D S. On a statistical damage constitutive model for rock materials[J]. Computers and Geosciences，2011，37(2)：122–128.
[5] 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，ZHAO Heng，LI Xiang，et al. A statistical damage simulation method for rock full deformation process with consideration of the deformation characteristics of residual strength phase[J]. China Civil Engineering Journal，2012，45(6)：139–145.(in Chinese))
[6] 曹瑞琅，贺少辉，韦 京，等. 基于残余强度修正的岩石损伤软化统计本构模型研究[J]. 岩土力学，2013，34(6)：1 652–1 660.(CAO Ruiliang，HE Shaohui，WEI Jing，et al. Study of modified statistical damage softening constitutive model for rock considering residual strength[J]. Rock and Soil Mechanics，2013，34(6)：1 652–1 660.(in Chinese))
[7] 刘文博，孙博一，陈 雷，等. 一种基于弹性能释放率的岩石新型统计损伤本构模型[J]. 水文地质工程地质，2021，48(1)：88–95. (LIU Wenbo，SUN Boyi，CHEN Lei，et al. A statistical damage constitutive rock model based on elastic energy release rate[J]. Hydrogeology and Engineering Geology，2021，48(1)：88–95.(in Chinese))
[8] 张慧梅，谢祥妙，张蒙军，等. 真三轴应力状态下岩石损伤本构模型[J]. 力学与实践，2015，37(1)：75–78.(ZHANG Huimei，XIE Xiangmiao，ZHANG Mengjun，et al. Damage constitutive model of rock under the true triaxial confinement state[J]. Mechanics in Engineering，2015，37(1)：75–78.(in Chinese))
[9] 马秋峰，田 静，周天白. 基于受压裂隙开裂准则的损伤模型[J]. 中南大学学报：自然科学版，2019，50(3)：687–693.(MA Qiufeng，TIAN Jing，ZHOU Tianbai. Damage model based on fracture cracking criteria[J]. Journal of Central South University：Science and Technology，2019，50(3)：687–693.(in Chinese))
[10] 张慧梅，孟祥振，彭 川，等. 冻融–荷载作用下基于残余强度特征的岩石损伤模型[J]. 煤炭学报，2019，44(11)：3 404–3 411. (ZHANG Huimei，MENG Xiangzhen，PENG Chuan，et al. Rock damage constitutive model based on residual intensity characteristics under freeze-thaw and load[J]. Journal of China Coal Society，2019，44(11)：3 404–3 411.(in Chinese))
[11] 李修磊，陈洪凯，张金浩. 考虑初始空隙压密的岩石变形全过程本构模型[J]. 西南交通大学学报，2022，57(2)：314–321.(LI Xiulei，CHEN Hongkai，ZHANG Jinhao. Statistical damage model for whole deformation and failure process of rock considering initial void closure[J]. Journal of Southwest Jiaotong University，2022，57(2)：314–321.(in Chinese))
[12] 马秋峰，刘志河，秦跃平，等. 基于能量耗散理论的岩石塑性-损伤本构模型[J]. 岩土力学，2021，42(5)：1 210–1 220.(MA Qiufeng，LIU Zhihe，QIN Yueping，et al. Rock plastic-damage constitutive model based on energy dissipation[J]. Rock and Soil Mechanics，2021，42(5)：1 210–1 220.(in Chinese))
[13] XIANG L，CAO W G，SU Y H. A statistical damage constitutive model for softening behavior of rocks[J]. Engineering Geology，2012，143–144.
[14] 张 明，王 菲，杨 强. 基于三轴压缩试验的岩石统计损伤本构模型[J]. 岩土工程学报，2013，35(11)：1 965–1 971.(ZHANG Ming，WANG Fei，YANG Qiang. Statistical damage constitutive model for rocks based on triaxial compression tests[J]. Chinese Journal of Geotechnical Engineering，2013，35(11)：1 965–1 971.(in Chinese))
[15] 贾 逸，魏良帅，黄安邦，等. 高应力区岩石统计损伤本构模型研究[J]. 水文地质工程地质，2019，46(2)：118–124.(JIA Yi，WEI Liangshuai，HUANG Anbang，et al. A study of the statistical damage constitutive model of rock in high stress areas[J]. Hydrogeology and Engineering Geology，2019，46(2)：118–124.(in Chinese))
[16] 余华中，阮怀宁，褚卫江. 大理岩脆–延–塑转换特性的细观模拟研究[J]. 岩石力学与工程学报，2013，32(1)：55–64.(YU Huazhong，RUAN Huaining，CHU Weijiang. Mesoscopic simulation study of brittle-ductile-plastic transition character of marble[J]. Chinese Journal of Rock Mechanics and Engineering，2013，32(1)：55–64.(in Chinese))
[17] 谢和平，高明忠，付成行，等. 深部不同深度岩石脆延转化力学行为研究[J]. 煤炭学报，2021，46(3)：701–715.(XIE Heping，GAO Mingzhong，FU Chengxing，et al. Mechanical behavior of brittle-ductile transition in rocks at different depths[J]. Journal of China Coal Society，2021，46(3)：701–715.(in Chinese))
[18] 张 超，白 允，安永林，等. 基于全应力应变曲线的岩石脆性特征评价新方法[J]. 公路交通科技，2021，38(3)：63–72.(ZHANG Chao，BAI Yun，AN Yonglin，et al. New evaluation method of rocks brittle characteristics based on full stress strain curve[J]. Journal of Highway and Transportation Research and Development，2021，38(3)：63–72.(in Chinese))
[19] ALTINDAG R. Assessment of some brittleness indexes in rock-drilling efficiency[J]. Rock Mechanics and Rock Engineering，2010，43(3)：361–370.
[20] 夏英杰，李连崇，唐春安，等. 基于峰后应力跌落速率及能量比的岩体脆性特征评价方法[J]. 岩石力学与工程学报，2016，35(6)：1 141–1 154.(XIA Yingjie，LI Lianchong，TANG Chun?an，et al. Rock brittleness evaluation based on stress dropping rate after peak stress and energy ratio[J]. Chinese Journal of Rock Mechanics and Engineering，2016，35(6)：1 141–1 154.(in Chinese))
[21] 李 斌，许梦国，刘艳章. 临界状态围压在岩石强度准则改进中的应用[J]. 岩土力学，2016，37(2)：390–398.(LI Bin，XU Mengguo，LIU Yanzhang. Application of critical state confining pressure to rock strength criteria modification[J]. Rock and Soil Mechanics，2016，37(2)：390–398.(in Chinese))
[22] 徐松林，吴 文，王广印，等. 大理岩等围压三轴压缩全过程研究I：三轴压缩全过程和峰前、峰后卸围压全过程实验[J]. 岩石力学与工程学报，2001，11(6)：763–767.(XU Songlin，WU Wen，WANG Guangyin，et al. Study on complete procedures of marble under triaxial compression Ⅰ： testing study on complete procedure of triaxial compression and the procedure of unloading confining at the pre-peak and post-peak[J]. Chinese Journal of Rock Mechanics and Engineering，2001，11(6)：763–767.(in Chinese))
[23] LI G，TANG C A. A statistical meso-damage mechanical method for modeling trans-scale progressive failure process of rock[J]. International Journal of Rock Mechanics and Mining Sciences，2015，74：133–150.
[24] 张 超，白 允. 参数型岩石几何损伤模型的构建及其应用研究[J]. 岩土力学，2020，41(12)：3 899–3 909.(ZHANG Chao，BAI Yun. Establishment and application of parametric geometrical damage model of rocks[J]. Rock and Soil Mechanics，2020，41(12)：3 899–3 909. (in Chinese)) |
|
|
|
2023, Vol. 42 
