理论与试验研究

考虑峰后脆性特征的岩石损伤模型

  • 魏安辉 ,
  • 牟琦 ,
  • 唐伟 ,
  • 李军润 ,
  • 赵海松
展开
  • 1.四川省公路规划勘察设计研究院有限公司,成都 610041;
    2.西南科技大学 土木工程与建筑学院, 四川 绵阳 621010;
    3.贵州大学 土木工程学院, 贵阳 550025;
    4.中国工程物理研究院总体工程研究所,四川 绵阳 621999
魏安辉(1979—),男,四川宜宾人,硕士,正高级工程师,主要从事岩土工程、地质灾害等领域的勘察设计及研究工作。E-mail:18767372@qq.com
唐伟(1993—),男,四川广安人, 博士, 研究员,主要从事环境岩土研究工作。E-mail:gs.tangw21@gzu.edu.cn

收稿日期: 2024-10-22

  网络出版日期: 2025-09-03

基金资助

四川省交通运输科技项目(2021-A-12, 2021-A-07, 2021-A-02);四川省公路规划勘察设计研究院有限公司科研项目(2022-YL-02);十三五国家重点研发计划(2017YFC0804600)

Rock Damage Model Considering Post-Peak Brittleness Characteristics

  • Wei Anhui ,
  • Mou Qi ,
  • Tang Wei ,
  • LiJunrun ,
  • Zhao Haisong
Expand
  • 1. Sichuan Highway Planning, Survey, Design and Research Institute Co., Ltd., Chengdu 610041, P.R. China;
    2. School of Civil Engineering and Architecture, Southwest University of Science and Technology, Mianyang, Sichuan 621010, P.R. China;
    3. School of Civil Engineering, Guizhou University, Guiyang 550025, P.R. China;
    4. Institute of Systems of Engineering, China Academy of Engineering Physics, Mianyang, Sichuan 621999, P.R. China

Received date: 2024-10-22

  Online published: 2025-09-03

摘要

针对现存本构模型岩石峰后曲线模拟效果较差等问题,基于岩石微元强度服从Weibull分布和Drucker-Prager破坏准则的假设,引入曲线形状参数β对岩石杨氏模量和损伤因子进行修正,提出了一种能反映岩石峰后脆性特征的岩石损伤本构模型。最后,将建立的本构模型理论曲线与3种岩石(页岩、大理岩和花岗岩)的常规三轴应力—应变曲线进行对比分析,并结合其他同类模型的分析结果,证实了本文模型的适用性和准确性。结果表明:新模型不仅克服了理论曲线不过原点的缺陷,还很好地描述岩石峰后脆性特征和残余强度对全过程应力—应变行为的影响;对模型参数进行探讨,F值越大,峰值强度越高,M值增大,峰前脆性特征增强,β值越大,峰后延性特征增强。研究成果对深部岩体综合脆性评价模型的建立具有一定的参考价值。

本文引用格式

魏安辉 , 牟琦 , 唐伟 , 李军润 , 赵海松 . 考虑峰后脆性特征的岩石损伤模型[J]. 地下空间与工程学报, 2025 , 21(4) : 1126 -1136 . DOI: 10.20174/j.JUSE.2025.04.03

Abstract

In response to the poor simulation performance of existing constitutive models for rock post-peak curves, a rock damage constitutive model that can reflect the brittle characteristics of rock post peak is proposed based on the assumption that the strength of rock microelements follows Weibull distribution and Drucker Prager failure criterion. The curve shape parameter β is introduced to modify the Young's modulus and damage factor of rock. Finally, the established constitutive model theoretical curve was compared and analyzed with the conventional triaxial stress-strain curves of three types of rocks (shale, marble, and granite), and combined with the analysis results of other similar models, the applicability and accuracy of the model proposed in this paper were confirmed. The results show that: The new model not only overcomes the defect of theoretical curves not reaching the origin, but also well describes the brittle characteristics of rocks after the peak and the influence of residual strength on the stress-strain behavior throughout the entire process. The model parameters is discussed . The larger the F value, the higher the peak strength, the larger the M value, the stronger the brittle characteristics before the peak, and the larger the β value, the stronger the ductility characteristics after the peak. The study results has certain reference value for the establishment of a comprehensive brittleness evaluation model for deep rock masses.

参考文献

[1] 何满潮, 谢和平, 彭苏萍, 等. 深部开采岩体力学研究[J]. 岩石力学与工程学报, 2005 (16): 2803-2813. (He Manchao, Xie Heping, Peng Suping, et al. Study on rock mechanics in deep mining engineering[J]. Chinese Journal of Rock Mechanics and Engineering, 2005 (16): 2803-2813. (in Chinese))
[2]董春亮,赵光明.基于能量耗散和声发射的岩石损伤本构模型[J].地下空间与工程学报,2015,11(5):1116-1122,1128.(Dong Chunliang, Zhao Guangming. Constitutive Model of Rock Damage Based on Energy Dissipation and Acoustic Emission[J]. Chinese Journal of Underground Space and Engineering,2015,11(5):1116-1122,1128. (in Chinese))
[3]刘振洋,刘晓林.岩石变形破坏过程耗散结构理论分析及损伤模型[J].地下空间与工程学报, 2023,19(1):51-60,78. (Liu Zhenyang, Liu Xiaolin. Dissipative Structure Theory Analysis of Rock Deformation and Failure Process and Damage Constitutive Model[J]. Chinese Journal of Underground Space and Engineering, 2023,19(1):51-60,78 (in Chinese))
[4]Adhikari G R, Babu A R, Balachander R, et al. On the application of rock mass quality for blasting in large underground chambers[J]. Tunnelling and Underground Space Technology, 1999, 14(3): 367-375.
[5]杨文君,谢强,班宇鑫,等.变加载速率砂岩声发射特征及损伤本构模型[J].地下空间与工程学报, 2021,17(1):71-79. (Yang Wenjun, Xie qiang, BAN Yuxin, et al. The Acoustic Emission Characteristics and Damage Constitutive Model of Sandstone under Variable Loading Rates[J]. Tunnelling and Underground Space Technology, 2021,17(1):71-79 (in Chinese))
[6]黄润秋. 岩石高边坡稳定性工程地质分析[M]. 北京: 科学出版社, 2012. (Huang Runqiu. Engineering Geological Analysis of High Rock Slope Stability[M]. Beijing: Science Press, 2012 (in Chinese))
[7]王鹏, 楚文杰, 陈磊, 等. 大型地下洞室岩梁开挖主要工程地质问题及处理措施讨论[J]. 岩土工程学报, 2019, 41 (11): 2165-2172. (Wang Peng, Chu Wenjie, Chen Lei, et al. Main engineering geological problems and treatment measures of large underground cavern rock beams during excavation[J]. Chinese Journal of Geotechnical Engineering, 2019, 41(11): 2165-2172. (in Chinese))
[8]Lemaitre J. How to use damage mechanics[J]. Nuclear Engineering and Design, 1984, 80(2): 233-245.
[9]朱振南, 蒋国盛, 田红, 等. 基于Normal分布的岩石统计热损伤本构模型研究[J]. 中南大学学报(自然科学版), 2019, 50(6): 1411-1418. (Zhu Zhennan, Jiang Guosheng, Tian Hong, et al. Study on statistical thermal damage constitutive model of rock based on normal distribution [J]. Journal of Central South Huiversity (Social Science), 2019, 50(6): 1411-1418)
[10]Deng J, Gu D S. On a statistical damage constitutive model for rock materials[J]. Computers & Geosciences, 2011, 37(2): 122-128.
[11]Xu X L, Karakus M, Feng G, et al.Thermal damage constitutive model for rock considering damage threshold and residual strength[J]. Journal of Central South University, 2018, 25(10): 2523-2536.
[12]Chen S, Qiao C S, Ye Q, et al. Comparative study on three-dimensional statistical damage constitutive modified model of rock based on power function and Weibull distribution[J]. Environmental Earth Sciences, 2018, 77(3): 108.
[13]孙梦成, 徐卫亚, 王苏生, 等. 基于最小耗能原理的岩石损伤本构模型研究[J]. 中南大学学报(自然科学版), 2018, 49(8): 2067-2075. (Sun Mengchen, Xu Weiya, Wang Susheng, et al. Study on damage constitutive model of rock based on principle of minimum dissipative energy[J]. Journal of Central South University (Science and Technology), 2018, 49(8): 2067-2075. (in Chinese))
[14]蒋维,邓建,李隐.基于对数正态分布的岩石损伤本构模型研究[J].地下空间与工程学报, 2010,6(6):1190-1194. (Jia Wei, Deng Jian, Li Yin. Study on rock damage constitutive model based on lognormal distribution[J]. Tunnelling and Underground Space Technology, 2010,6(6):1190-1194. (in Chinese))
[15]刘齐建, 杨林德, 曹文贵. 岩石统计损伤本构模型及其参数反演[J]. 岩石力学与工程学报, 2005 (4):616-621. (Liu Qijian, Yang Linde, Cao Wengui. Statistical damage constitutive model for rock and back analysis of its parameters [J]. Chinese Journal of Rock Mechanics and Engineering, 2005 (4): 616-621. (in Chinese))
[16]张慧梅, 雷利娜, 杨更社. 等围压条件下岩石本构模型及损伤特性[J]. 中国矿业大学学报, 2015, 44(1): 59-63. (Zhang Huimei, Lei Lina, Yang Gengshe. Characteristic and representative model of rock damage process under constant confining stress[J]. Journal of China University of Mining & Technology, 2015, 44(1): 59-63. (in Chinese))
[17]王东, 张婧, 陈强, 等. 基于3种破坏类型的岩石损伤软化统计模型[J]. 岩石力学与工程学报, 2015,34 (增2): 3759-3765. (Wang Dong, Zhang Jing, Chen Qiang, et al. Damage softening statistic model of rock based on three failure types[J]. Chinese Journal of Rock Mechanics and Engineering, 2015, 34(Supp.2): 3759-3765. (in Chinese))
[18]Chen S, Qiao C S, Ye Q, et al. Comparative study on three-dimensional statistical damage constitutive modified model of rock based on power function and Weibull distribution[J]. Environmental Earth Sciences, 2018, 77(3): 108.
[19]Wang J B, Song Z P, Zhao B Y, et al.A Study on the Mechanical Behavior and Statistical Damage Constitutive Model of Sandstone[J]. Arabian Journal for Science and Engineering, 2018, 43(10): 5179-5192.
[20]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))
[21]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): 1652-1660,1667. (Cao Ruilang, 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): 1652-1660,1667. (in Chinese))
[22]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): 2901-2908. (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): 2901-2908. (in Chinese))
[23]温韬, 唐辉明, 马俊伟, 等. 考虑初始损伤和残余强度的岩石变形过程模拟[J]. 地球科学, 2019, 44(2): 652-663. (Wen Tao, Tang Huiming, Ma Junwei, et al. Deformation simulation for Rock in Consideration of Initial Damage and Residual Strength[J]. Earth Science, 2019, 44(2): 652-663. (in Chinese))
[24]梁明纯, 苗胜军, 蔡美峰, 等. 考虑剪胀特性和峰后形态的岩石损伤本构模型[J]. 岩石力学与工程学报, 2021, 40(12): 2392-2401. (Liang Mingchun, Miao Shengjun, Cai Meifeng, et al. A damage constitutive model of rock with consideration of dilatation and post-peak shape of the stress-strain curve[J]. Chinese Journal of Rock Mechanics and Engineering, 2021, 40(12): 2392-2401(in Chinese))
[25]张超, 俞缙, 白允, 等. 基于强度理论的岩石脆延转化统计损伤本构模型[J]. 岩石力学与工程学报, 2023, 42(2): 307-316. (Zhang Chao, Yu jin, Bai Yun, et al. Statistical damage constitutive model of rock brittle-ductile transition based on strength theory[J]. Chinese Journal of Rock Mechanics and Engineering, 2023, 42(2): 307-316. (in Chinese))
[26]刘俊新, 李军润, 尹彬瑞, 等. 基于能量平衡的新脆性指标与页岩失效机制分析[J]. 岩石力学与工程学报, 2022, 41(4): 734-747. (Liu Junxin, Li Junrun, Yin Binrui, et al. New brittleness index based on energy balance and analysis of failure mechanism of shale[J]. Chinese Journal of Rock Mechanics and Engineering, 2022, 41(4): 734-747 (in Chinese))
文章导航

/