Processing math: 100%
EI、Scopus 收录
中文核心期刊
Zhou Sunji, Cheng Lei, Wang Liwei, Wang Ding, Hao Shengwang. CONTINUUM DAMAGE MECHANICS-BASED CRITICAL SINGULARITY EXPONENT AND FAILURE TIME PREDICTION[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(5): 1372-1380. DOI: 10.6052/0459-1879-19-120
Citation: Zhou Sunji, Cheng Lei, Wang Liwei, Wang Ding, Hao Shengwang. CONTINUUM DAMAGE MECHANICS-BASED CRITICAL SINGULARITY EXPONENT AND FAILURE TIME PREDICTION[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(5): 1372-1380. DOI: 10.6052/0459-1879-19-120

CONTINUUM DAMAGE MECHANICS-BASED CRITICAL SINGULARITY EXPONENT AND FAILURE TIME PREDICTION

  • Received Date: May 10, 2019
  • The accelerating increase of response quantities, such as strain and acoustic emission signals in the vicinity of failure time, has been revealed as a precursor of catastrophic failure. This critical precursor has been widely validated as a valid way to predict failure time by the retrospective prediction of volcanic eruptions, landslides and laboratory experiments of rock failures. But the scatter of exponents in the critical power law singularity relationship that describes acceleration in precursory signals leads to a debate on the actual value of critical exponent and the uncertainty of failure time prediction. Consequently, the uncertainty resulting from the scatter of exponents is a key difficulty in using such methods for prediction of the failure time through the use of acceleration precursors. Thus understanding the underlying mechanisms for the magnitude and variation of critical power-law exponents becomes a central problem for understanding the process of failure and failure time prediction. This paper presents a multi-scale damage mechanic model describing the accelerating process of time dependent failure. Theoretic derivations and demonstrations of critical power law relationship are presented for two typical load process, i.e. brittle creep failure under constant nominal stress and the load process of linearly increasing the nominal stress with time. It is found that values of the singularity exponents have a relationship with the parameter that defines the nonlinear level of damage evolution rate depending on to the local true stress. The physical expressions of critical parameters are deduced and the physical meanings of these critical parameters are explained. It is declared that the observed variation of the critical power law exponents not only due to the fluctuation in the measurement data, but has its intrinsic physical controls. Then a method is suggested to predict the failure time when the critical singularity exponent is unknown. This proposed methodology is validated through granite creep failure experiments in laboratory and the challenges for practical applications are demonstrated.
  • [1] Xia MF, Song ZQ, Xu JB , et al. Sample-specific behavior in failure models of disordered media. Communications in Theoretical Physics, 1996,25:49-54
    [2] Bai YL, Wang HY, Xia MF , et al. Statistical mesomechanics of solid, liking coupled multiple space and time scales. Applied Mechanics Review, 2005,58:372-388
    [3] Yin XC, Chen XZ, Song ZP , et al. A new approach to earthquake prediction: The load/unload response ratio (LURR) theory. Pure and Applied Geophysics, 1995,145:701-715
    [4] 尹祥础, 刘月 . 加卸载响应比------地震预测与力学的交叉. 力学进展, 2013,43(6):555-580
    [4] ( Yin Xiangchu, Liu Yue . Load-unload response ratio --- An interplay between earthquake prediction and mechanics. Advances of Mechanics, 2013,43(6):555-580 (in Chinese))
    [5] 尹祥础, 刘月, 张浪平 等. "泛西南"地区加卸载响应比异常及大震活动预测与追踪. 地震, 2017,37(4):37-49
    [5] ( Yin Xiangchu, Liu Yue, Zhang Langping , et al. LURR anomaly, prediction and tracking of large earthquakes in the Pan-southwestern region. Earthquake, 2017,37(4):37-49 (in Chinese))
    [6] Xia MF, Wei YJ, Ke FJ , et al. Critical sensitivity and trans-scale fluctuations in catastrophic rupture. Pure and Applied Geophysics, 2002,159:2491-2509
    [7] 李雪艳, 张惠民 . 基于应变脉冲响应协方差的损伤识别方法研究. 力学学报, 2017,49(5):1081-1090
    [7] ( Li Xueyan, Zhang Huimin . Study of damage identification method based on the covariance of strain impulse response function. Chinese Journal of Theoretical and Applied Mechanics, 2017,49(5):1081-1090 (in Chinese))
    [8] 马瑾 . 从"是否存在有助于预报的地震先兆"说起. 科学通报, 2016,61:409-414
    [8] ( Ma Jin . On "whether earthquake precursors help for prediction do exist". Chinese Science Bulletin, 2016,61:409-414 (in Chinese))
    [9] 许强, 黄润秋 . 非线性科学理论在地质灾害评价预测中的应用------地质灾害系统分析原理. 山地学报, 2000,18(3):272-277
    [9] ( Xu Qiang, Huang Runqiu . Systematic analysis principles of geological hazards. Journal of Mountain Science, 2000,18(3):272-277(in Chinese))
    [10] 张琰, 吴忠良, 李佳威 . 地震预测预报研究议程的演变: 文献计量分析的启示. 物理, 2019,39(2):159-173
    [10] ( Zhang Yan, Wu Zhongliang, Li Jiawei . Agenda evolution of earthquake forecast/prediction research: Inspiration from bibliometric analysis. Physics, 2019,39(2):159-173 (in Chinese))
    [11] Xue J, Hao SW, Wang J , et al. The changeable power law singularity and its application to prediction of catastrophic rupture in uniaxial compressive tests of geomedia. Journal of Geophysical Research: Solid Earth, 2018,123:2645-2657
    [12] Long H, Liang LH, Wei YG . Failure characterization of solid structures based on an equivalence of cohesive zone model. International Journal of Solids and Structures, 2019,163:194-210
    [13] Liang LH, Li XN, Liu HY , et al. Power-law characteristics of damage and failure of ceramic coating systems under three-point bending. Surface and Coatings Technology, 2016,285:113-119
    [14] Wang XG, Yin YP, Wang JD , et al. A nonstationary parameter model for the sandstone creep tests. Landslides, 2018,15:1377-1389
    [15] 郝圣旺 . 非均匀介质的变形局部化、灾变破坏及临界奇异性. [博士论文]. 北京:中国科学院力学研究所, 2007
    [15] ( Hao Shengwang . Localization, catastrophic rupture and critical singularity of heterogeneous brittle media. [PhD Thesis]. Beijing: Institute of Mechanics, Chinese Academy of Sciences, 2007 (in Chinese))
    [16] Hao SW, Rong F, Lu MF , et al. Power-law singularity as a possible catastrophe warning observed in rock experiments. International Journal of Rock Mechanics and Mining Sciences, 2013,60:253-262
    [17] Heap MJ, Baud P, Meredith PG , et al. Brittle creep in basalt and its application to time-dependent volcano deformation. Earth and Planetary Science Letters, 2011,307:71-82
    [18] Hao SW, Zhang BJ, Tian JF , et al. Predicting time-to-failure in rock extrapolated from secondary creep. Journal of Geophysical Research: Solid Earth, 2014,119:1942-1953
    [19] 陆明富 . 双轴加载下非均匀介质的损伤演化与灾变. [博士论文]. 北京:中国科学院力学研究所, 2011
    [19] ( Lu Mingfu . Damage induced catastrophic rupture in heterogeneous media under biaxial loading. [PhD Thesis]. Beijing: Institute of Mechanics, Chinese Academy of Sciences, 2011 (in Chinese))
    [20] 徐海元 . 地壳变形的非均匀演化重构及灾变前兆分析. [博士论文]. 北京:中国科学院力学研究所, 2015
    [20] ( Xu Haiyuan . Reconstruction of heterogeneous evolution of crustal deformation and analysis of precursors to catastrophic rupture. [PhD Thesis]. Beijing: Institute of Mechanics, Chinese Academy of Sciences, 2015 (in Chinese))
    [21] 薛健 . 非均匀介质在压缩载荷下灾变破坏的幂律奇异性前兆及灾变预测. [博士论文]. 北京: 中国科学院力学研究所, 2018
    [21] ( Xue Jian . Power-law singularity precursor and prediction of catastrophic rupture in heterogeneous media under compression. [PhD Thesis]. Beijing: Institute of Mechanics, Chinese Academy of Sciences, 2018 (in Chinese))
    [22] Voight B, Cornelius RR . Prospects for eruption prediction in near real-time. Nature, 1991,350:695-698
    [23] Kilburn CRJ, Petley DN . Forecasting giant, catastrophic slope collapse: Lessons from Vajont, northern Italy. Geomorphology, 2003,54(1-2):21-32
    [24] Voight B . A method for prediction of volcanic eruptions. Nature, 1988,332:125-130
    [25] Hao SW, Yang H, Elsworth D . An accelerating precursor to predict "time-to-failure" in creep and volcanic eruptions. Journal of Volcanology and Geothermal Research, 2017,343:252-262
    [26] Tommaso C, Emanuele I, Federico DT , et al. Guidelines on the use of inverse velocity method as a tool for setting alarm thresholds and forecasting landslides and structure collapses. Landslides, 2017,14:517-534
    [27] Bell AF . Predictability of landslide timing from quasi-periodic precursory earthquakes. Geophysical Research Letters, 2018,45:1860-1869
    [28] Vasseur J, Wadsworth FB, Heap MJ , et al. Does an inter-flaw length control the accuracy of rupture forecasting in geological materials? Earth and Planetary Science Letters, 2017,475:181-189
    [29] 荣峰 . 非均匀脆性介质损伤演化的多尺度数值模拟. [博士论文]. 北京:中国科学院力学研究所, 2006
    [29] ( Rong Feng . Multiscale simulations of damage evolution in heterogeneous brittle media. [PhD Thesis]. Beijing: Institute of Mechanics, Chinese Academy of Sciences, 2006 (in Chinese))
    [30] Voight B . A relation to describe rate-dependent material failure. Science, 1989,243:200-203
    [31] Zhou SJ, Hao SW, Elsworth D . Magnitude and variation of the critical power law exponent and its physical controls. Physica A, 2018,510:552-557
    [32] Krajcinovic D, Rinaldi A . Statistical damage mechanics-Part I: Theory. Journal of Applied Mechanics, 2005,72:76-85
    [33] 余寿文, 冯西桥 . 损伤力学 . 北京:清华大学出版社, 1997
    [33] ( Yu Shouwen, Feng Xiqiao . Damage Mehcanics. Beijing: Tsinghua University Press, 1997 (in Chinese))
    [34] 卡恰诺夫. 连续介质损伤力学引论. 杜善义, 王殿富译. 哈尔滨: 哈尔滨工业大学出版社, 1989
    [34] ( Kachanov LM. Introduction to Continuum Damage Mechanics. Du Shanyi, Wang Dianfu (Translation). Harbin: Harbin Institute of Technology Press, 1989 (in Chinese))
    [35] Kachanov LM . Rupture time under creep conditions. International Journal of Fracture, 1999,97:11-18
    [36] 冯西桥, 余寿文 . 准脆性材料细观损伤力学. 北京: 高等教育出版社, 2002
    [36] ( Feng Xiqiao, Yu Shouwen. Damage Micromehcanics of Quasi-Brittle Materials. Beijing: Higher Education Press, 2002 (in Chinese))
    [37] Newman WI, Phoenix SL . Time-dependent fiber bundles with local load sharing. Physical Review E, 2001,63:021507
    [38] Bozzano F, Mazzanti P, Moretto S . Discussion to: `Guidelines on the use of inverse velocity method as a tool for setting alarm thresholds and forecasting landslides and structure collapses' by T. Carlà, E. Intrieri, F. Di Traglia, T. Nolesini, G. Gigli and N. Casagli. Landslides, 2018,15:1437-1441
    [39] Tommaso C, Emanuele I, Federico DT , et al. Reply to discussion on "Guidelines on the use of inverse velocity method as a tool for setting alarm thresholds and forecasting landslides and structure collapses" by F. Bozzano, P. Mazzanti, and S. Moretto. Landslides, 2018,15:1443-1444
    [40] Bell AF, Naylor M, Hernandez S , et al. Volcanic eruption forecasts from accelerating rates of drumbeat long-period earthquakes. Geophysical Research Letters, 2018,45(3):1339-1348
    [41] Kilburn CRJ, Natale GD, Carlino S . Progressive approach to eruption at Campi Flegrei caldera in southern Italy. Nature Communications, 2017,8:15312
    [42] 卢梦凯, 张洪武, 郑勇刚 . 应变局部化分析的嵌入强间断多尺度有限元法. 力学学报, 2017,49(3):649-658
    [42] ( Lu Mengkai, Zhang Hongwu, Zheng Yonggang . Embedded strong discontinuity model based multiscale finite element method for strain localization analysis. Chinese Journal of Theoretical and Applied Mechanics, 2017,49(3):649-658 (in Chinese))
    [43] 王增会, 李锡夔 . 基于介观力学信息的颗粒材料损伤--愈合与塑性宏观表征. 力学学报, 2018,50(2):284-296
    [43] ( Wang Zenghui, Li Xikui . Meso-mechanically informed macroscopic characterization of damage-healing-plasticity for granular materials. Chinese Journal of Theoretical and Applied Mechanics, 2018,50(2):284-296 (in Chinese))
  • Related Articles

    [1]Li Hui, Sun Zhanbin, Liu Xiaochuan, Sun Kaihua, Wang Xin, Zhang Bingjie, Jia Duo, Zhang Rangwei, Gao Dongwu, Wang Xiangping, Guo Xumin, Lin Junzhe, Sun Wei, Ma Hui, Han Qingkai. STUDY ON CONSTITUTIVE MODEL OF NEW SANDWICH METAL RUBBER FELT PADS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2024, 56(9): 2596-2603. DOI: 10.6052/0459-1879-24-154
    [2]Wang Jiachen, Zhang Dingli, Sun Zhenyu, Fang Huangcheng, Liu Chang. FAILURE MECHANISM AND SCOPE PREDICTION MODEL OF HORIZONTAL INTERBEDDED SURROUNDING ROCK TUNNEL[J]. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(10): 2835-2849. DOI: 10.6052/0459-1879-22-133
    [3]Wang Yang, Dong Gang. INTERFACE EVOLUTIONS AND GROWTH PREDICTIONS OF MIXING ZONE ON PREMIXED FLAME INTERFACE DURING RM INSTABILITY[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(6): 1655-1665. DOI: 10.6052/0459-1879-20-278
    [4]Zhang Yuanxiang, Liang Lihua, Zhang Jicheng, Chen Junjun, Sheng Yufeng. MODELING OF ELECTROMIGRATION FAILURE PREDICTING FOR FCBGA SOLDER BUMP UNDER MULTI-PHYSICAL FIELD LOADS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(3): 487-496. DOI: 10.6052/0459-1879-18-077
    [5]Lin Mengda, Cui Guixiang, Zhang Zhaoshun, Xu Chunxiao, Huang Weixi. LARGE EDDY SIMULATION ON THE EVOLUTION AND THE FAST-TIME PREDICTION OF AIRCRAFT WAKE VORTICES[J]. Chinese Journal of Theoretical and Applied Mechanics, 2017, 49(6): 1185-1200. DOI: 10.6052/0459-1879-17-198
    [6]Li Yuan, Han Xu, Liu Jie, Jiang Chao. A PREDICTION METHOD ON HIGH-CYCLE FATIGUE PARAMETERS BASED ON DISSIPATED ENERGY COMPUTATION[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(3): 367-374. DOI: 10.6052/0459-1879-12-300
    [7]Kou Wenjun Qiu Zhiping. Efficient μ method in predicting robust match-point flutter[J]. Chinese Journal of Theoretical and Applied Mechanics, 2011, 43(1): 221-226. DOI: 10.6052/0459-1879-2011-1-lxxb2010-273
    [8]Guowei Yang, Jikang Wang. Gust response prediction with CFD-based reduced order modeling[J]. Chinese Journal of Theoretical and Applied Mechanics, 2008, 40(2): 145-153. DOI: 10.6052/0459-1879-2008-2-2007-230
    [9]Weihong Zhang, Gaoming Dai, Fengwen Wang, Shiping Sun, Hicham Bassir. Topology optimization of material microstructures using strain energy-based prediction of effective elastic properties[J]. Chinese Journal of Theoretical and Applied Mechanics, 2007, 23(1): 77-89. DOI: 10.6052/0459-1879-2007-1-2006-086
    [10]Kejun Yang, Shuyou Cao, Xingnian Liu. Flow resistance in compound channels and its prediction methods[J]. Chinese Journal of Theoretical and Applied Mechanics, 2007, 23(1): 23-31. DOI: 10.6052/0459-1879-2007-1-2006-017
  • Cited by

    Periodical cited type(6)

    1. 张亮亮,程桦,王晓健. 基于统计规律的岩石非稳态蠕变经验模型研究. 岩石力学与工程学报. 2025(01): 164-173 .
    2. 黄丽萍,王溢童,胡辰,吴华杰,贾政斌,范若寻. 皮质骨微观能量释放率与大鼠月龄关系. 医用生物力学. 2024(04): 631-636 .
    3. 吕婧,王磊. UPVC板材冲击断裂实验分析. 科技和产业. 2023(14): 271-274 .
    4. 赵伯宇,胡伟平,孟庆春. 考虑晶体滑移面分解正应力的细观损伤模型. 力学学报. 2021(05): 1355-1366 . 本站查看
    5. 吕婧,王磊,孙维丽,葛伟伟. 塑性材料薄板复合断裂研究. 应用力学学报. 2021(05): 2196-2200 .
    6. 吴剑锋,李慧剑,王彩华,孟德亮,李佶芩. 混凝土单轴压缩短时蠕变破坏幂律行为研究. 硅酸盐通报. 2020(10): 3208-3212+3229 .

    Other cited types(3)

Catalog

    Article Metrics

    Article views (1527) PDF downloads (213) Cited by(9)
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return