高温损伤后岩石动态损伤本构模型

朱要亮; 俞缙; 付晓强; 任崇鸿; 姚玮; 刘雪莹

doi:10.11988/ckyyb.20210543

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长江科学院院报 ›› 2022, Vol. 39 ›› Issue (7) : 102-109. DOI: 10.11988/ckyyb.20210543

岩土工程

高温损伤后岩石动态损伤本构模型

朱要亮^1,2, 俞缙², 付晓强^2,3, 任崇鸿², 姚玮², 刘雪莹²

作者信息 +

A Novel Dynamic Constitutive Model after Temperature Damage for Rock

ZHU Yao-liang^1,2, YU Jin², FU Xiao-qiang^2,3, REN Chong-hong², YAO Wei², LIU Xue-ying²

Author information +

文章历史 +

摘要

为了研究高温损伤后岩石动态本构模型,通过组合建模的方法,引入裂隙体,并与损伤体串联,经理论推导,最终建立了高温后岩石全过程动态本构模型。随后开展了25~600 ℃温度处理后的花岗岩动力冲击试验。研究结果表明:随着温度升高,花岗岩动态峰值应力减小,弹性模量则先增大后减小;核磁共振测试结果能够定量描述高温引起岩石内部孔隙以及孔径分布,T2谱面积随温度升高呈现指数增长规律;试验结果验证了高温损伤后岩石动态损伤本构模型的适应性,理论计算结果与试验数据相关性达0.98以上;裂隙体参数a和b控制了应力应变曲线压密段的曲线形状,且曲线对参数a更为敏感。

Abstract

To study the dynamic constitutive model of rock in consideration of high-temperature damage,a novel modeling method is proposed.This model contains a fractured body and a damaged body connected in series with each other.Dynamic compression tests on granite were carried out with Split-Hopkinson pressure bar under temperature of 25-600 ℃.Results demonstrate that the dynamic peak stress of granite decreases with the climbing of temperature,while the elastic modulus firstly increases and then decreases.The pore characteristics of rock induced by high temperature can be reflected quantitatively by nuclear magnetic resonance test,and the T2 spectrum area displays an exponential growth with the rising of temperature.The adaptability of the proposed model is verified by the dynamic compression tests,and the correlation between theoretical and experimental data is over 0.98.The shape of compaction stage of stress-strain curve is controlled by parameters a and b of fracture body,of which parameter a has a larger influence.

导出引用

朱要亮, 俞缙, 付晓强, 任崇鸿, 姚玮, 刘雪莹. 高温损伤后岩石动态损伤本构模型[J]. 长江科学院院报. 2022, 39(7): 102-109 https://doi.org/10.11988/ckyyb.20210543

ZHU Yao-liang, YU Jin, FU Xiao-qiang, REN Chong-hong, YAO Wei, LIU Xue-ying. A Novel Dynamic Constitutive Model after Temperature Damage for Rock[J]. Journal of Changjiang River Scientific Research Institute. 2022, 39(7): 102-109 https://doi.org/10.11988/ckyyb.20210543

中图分类号： TU45

参考文献

[1] 杜守继,刘华,职洪涛,等.高温后花岗岩力学性能的试验研究[J].岩石力学与工程学报,2004,23(14):2359-2364.
[2] 赵亚永,魏凯,周佳庆,等.三类岩石热损伤力学特性的试验研究与细观力学分析[J].岩石力学与工程学报,2017,36(1):142-151.
[3] YANG Sheng-qi,RANJITH P G,WEI Jing-hong,et al.An Experimental Investigation on Thermal Damage and Failure Mechanical Behavior of Granite after Exposure to Different High Temperature Treatments[J].Geothermics,2017(65):180-197.
[4] 何涛,曹雅娴.高温后岩石三轴变形及渗透率演化规律[J].长江科学院院报,2018,35(11):107-111,116.
[5] YIN Tu-bing,SHU Rong-hua,LI Xi-bing,et al.Comparison of Mechanical Properties in High Temperature and Thermal Treatment Granite[J].Transactions of Nonferrous Metals Society of China,2016,26(7):1926-1937.
[6] LIU Shi,XU Jin-yu.An Experimental Study on the Physico-Mechanical Properties of Two Post-high-temperature Rocks[J].Engineering Geology,2015,185:63-70.
[7] CHEN You-liang,WANG Su-ran,NI Jing,et al.An Experimental Study of the Mechanical Properties of Granite after High Temperature Exposure Based on Mineral Characteristics[J].Engineering Geology,2017,220:234-242.
[8] 蔡燕燕,罗承浩,俞缙,等.热损伤花岗岩三轴卸围压力学特性试验研究[J].岩土工程学报,2015,37(7):1173-1180.
[9] 王春萍,陈亮,梁家玮,等.考虑温度影响的花岗岩蠕变全过程本构模型研究[J].岩土力学,2014,35(9):2493-2500.
[10] 闵明,张强,蒋斌松,等.实时高温下北山花岗岩劈裂试验及声发射特性[J].长江科学院院报,2020,37(3):111-116.
[11] YU Jin,LIU Ze-han,HE Ze,et al.Fluctuation Characteristic Test of Oblique Stress Waves in Infilled Jointed Rock and Study of the Analytic Method[J].Advances in Civil Engineering,2020(12):1-12.
[12] 唐礼忠,陈英毅,刘昌,等.基于应变率损伤本构模型的围岩分区破裂化现象数值模拟[J].长江科学院院报,2020,37(7):82-87.
[13] 李夕兵,周子龙,叶州元,等.岩石动静组合加载力学特性研究[J].岩石力学与工程学报,2008,27(7):1387-1395.
[14] 李地元,肖鹏,谢涛,等.动静态压缩下岩石试样的长径比效应研究[J].实验力学,2018,33(1):93-100.
[15] 支乐鹏,许金余,刘志群,等.高温后花岗岩冲击破坏行为及波动特性研究[J].岩石力学与工程学报,2013,32(1):135-142.
[16] 尹土兵,李夕兵,周子龙,等.粉砂岩高温后动态力学特性研究[J].地下空间与工程学报,2007,3(6):1060－1063.
[17] 尹土兵,李夕兵,王斌,等.高温后砂岩动态压缩条件下力学特性研究[J].岩土工程学报,2011,33(5):777－784.
[18] 刘石,许金余.高温作用对花岗岩动态压缩力学性能的影响研究[J].振动与冲击,2014,33(4):195-198.
[19] 朱要亮,俞缙,高海东,等.水冷却对高温花岗岩的细观损伤及动力学性能影响[J].爆炸与冲击,2019,39(8):84-95.
[20] 李明,茅献彪,曹丽丽,等.高温后砂岩动力特性应变率效应的试验研究[J].岩土力学,2014,35(12):3479-3488.
[21] LIU Shi,XU Jin-yu.Mechanical Properties of Qinling Biotite Granite after High Temperature Treatment[J].International Journal of Rock Mechanics & Mining Sciences,2014,71:188-193.
[22] LIU Shi,Xu Jin-yu.Study on Dynamic Characteristics of Marble under Impact Loading and High Temperature[J].International Journal of Rock Mechanics & Mining Sciences,2013,62:51-58.
[23] 单仁亮,薛友松,张倩.岩石动态破坏的时效损伤本构模型[J].岩石力学与工程学报,2003,22(11):1771-1776.
[24] 杨明辉,赵明华,曹文贵.基于统计理论的岩石动态损伤本构模型研究[J].武汉理工大学学报,2007,29(4):95-98.
[25] 刘永胜,刘旺,董新玉.化学腐蚀作用下岩石的动态性能及本构模型研究[J].长江科学院院报,2015,32(5):72-75.
[26] ZHAI Yue,ZHAO Rui-feng,LI Yu-bai,et al.Stochastic Inversion Method for Dynamic Constitutive Model of Rock Materials Based on Improved DREAM[J].International Journal of Impact Engineering,2020,147,doi:10.1016/j.ijimpeng.2020.103739.
[27] 许金余,刘石. 岩石的高温动态统计损伤本构模型研究[J].地下空间与工程学报,2014,10(5):1109－1113.
[28] WANG Z L,SHI H,WANG J G.Mechanical Behavior and Damage Constitutive Model of Granite Under Coupling of Temperature and Dynamic Loading[J].Rock Mechanics & Rock Engineering,2018,51:3045-3059.
[29] 王其虎,叶义成,刘艳章,等.考虑初始损伤和蠕变损伤的岩石蠕变全过程本构模型[J].岩土力学,2016,37(增刊1):57-62.
[30] BANDIS S C,LUMSDEN A C,BARTON N R.Fundamentals of Rock Joint Deformation[J].International Journal of Rock Mechanics & Mining Sciences,1983,20(6):249-268.
[31] BARTON N ,BANDIS S,BAKHTAR K.Strength,Deformationand Conductivity Coupling of Rock Joints[J].International Journal of Rock Mechanics & Mining Sciences & Geomechanics Abstracts,1985,22(3):121-140.
[32] XU X L,KARAKUS M.A Coupled Thermo-mechanical Damage Model for Granite[J].International Journal of Rock Mechanics & Mining Sciences,2018,103:195-204.
[33] LI Bing-lei,LAN Ji-quan,SI Guang-yao,et al.NMR-based Damage Characterisation of Backfill Material in Host Rock under Dynamic Loading[J].International Journal of Mining Science and Technology,2020,30:329-335.