娄乾星,陶铁军,田兴朝,谢财进

• 1:贵州大学土木工程学院

摘要(Abstract)：

为探寻石灰岩冲击荷载作用下数值模型参数选取的合理性，基于Holmquist-Johnson-Cook(HJC)本构模型构建石灰岩冲击破坏数值分析方法，同时对桐梓隧道现场钻取的石灰岩开展静力学试验，获得了基本物理力学参数。首先通过三轴围压实验、Hopkinson压杆等实验，获得了岩样极限面参数、压力参数和率效应参数；然后在SHPB冲击作用下进行了LS-DYNA数值模拟和室内试验，将两者计算结果进行了对比，最后以动态峰值应力为目标函数，对石灰岩HJC本构模型的21个参数进行了敏感性分析。结果表明：数值计算与SHPB室内试验取得的应力-应变曲线及破坏形态吻合度较好，表明了石灰岩HJC本构模型参数取值的合理性；石灰岩强度对参数f_c、A、B、N较为敏感，其强度增大或减小的最大变化率均超过10%。

关键词(KeyWords)： 石灰岩;HJC本构模型;数值模拟;SHPB试验;敏感性分析

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金地区科学基金项目(52064008)

作者(Author): 娄乾星,陶铁军,田兴朝,谢财进

参考文献(References)：

• [1] 任亮，喻贤明，王凯，等.基于HJC模型的UHPC冲击压缩性能数值研究[J].应用力学学报，2021,38(5):1910-1918.[1] REN Liang,YU Xian-ming,WANG Kai,et al.Numerical study on shock compression performance of UHPC based on HJC model[J].Chinese Journal of Applied Mechanics,2021,38(5):1910-1918.(in Chinese)
• [2] 米振国，石云波，张婕，等.侵彻效应混凝土靶HJC本构模型研究[J].中国测试，2021,47(7):31-35.[2] MI Zhen-guo,SHI Yun-bo,ZHANG Jie,et al.Research on HJC constitutive model of concrete target withpenetration effect[J].China Test,2021,47(7):31-35.(in Chinese)
• [3] 张嘉凡，高壮，程树范，等.煤岩HJC模型参数确定及液态CO2爆破特性研究[J].岩石力学与工程学报，2021,40(S1):2633-2642.[3] ZHANG Jia-fan,GAO Zhuang,CHENG Shu-fan,et al.Determination of parameters of HJC model of coal and rock and study on blasting characteristics of liquid CO2[J].Chinese Journal of Rock Mechanics and Engineering,2021,40(S1):2633-2642.(in Chinese)
• [4] 刘锦，李峰辉，刘秀秀.基于HJC模型的煤岩冲击损伤特性研究[J].工程爆破，2021,27(2):35- 42,65.[4] LIU Jin,LI Feng-hui,LIU Xiu-xiu.Research on impact damage characteristics of coal and rock based on HJC model[J].Engineering Blasting,2021,27(2):35- 42,65.(in Chinese)
• [5] 孙玉祥，王杰，武海军，等.混凝土高压状态方程实验与数值模拟研究[J].爆炸与冲击，2020,40(12):4-13.[5] SUN Yu-xiang,WANG Jie,WU Hai-jun,et al.Experimental and numerical simulation of concrete high pressure state equation[J].Explosion and Shock,2020,40(12):4-13.(in Chinese)
• [6] 汪衡，汪于程，蔡金良，等.HJC模型失效参数对侵彻能力影响的数值研究[J].兵器装备工程学报，2020,41(10):150-155.[6] WANG Heng,WANG Yu-cheng,CAI Jin-liang,et al.Numerical study on the effect of HJC model failure parameters on penetration ability[J].Chinese Journal of Weaponry and Equipment Engineering,2020,41(10):150-155.(in Chinese)
• [7] 苏伟林，李兴高，许宇，等.基于HJC模型的盾构刀具切削混凝土数值模拟[J].浙江大学学报(工学版),2020,54(6):1106-1114.[7] SU Wei-lin,LI Xing-gao,XU Yu,et al.Numerical simulation of shield cutting tool cutting concrete based on HJC model[J].Journal of Zhejiang University(Engineering Science),2020,54(6):1106-1114.(in Chinese)
• [8] 张社荣，宋冉，王超，等.碾压混凝土HJC动态本构模型修正及数值验证[J].振动与冲击，2019,38(12):25-31.[8] ZHANG She-rong,SONG Ran,WANG Chao,et al.Modification and numerical verification of HJC dynamic constitutive model of roller compacted concrete[J].Vibration and Shock,2019,38(12):25-31.(in Chinese)
• [9] 姚本余，章翔艳，谢晋勇，等.小纪汗煤的HJC模型参数确定及数值模拟[J].煤炭技术，2018,37(9):145-147.[9] YAO Ben-yu,ZHANG Xiang-yan,XIE Jin-yong,et al.HJC model parameter determination and numerical simulation of Xiaojihan coal[J].Coal Technology,2018,37(9):145-147.(in Chinese)
• [10] 凌天龙，吴帅峰，刘殿书，等.砂岩Holmquist-Johnson-Cook模型参数确定[J].煤炭学报，2018,43(8):2211-2216.[10] LING Tian-long,WU Shuai-feng,LIU Dian-shu,et al.Parameter determination of Holmquist-Johnson-Cook model of sandstone[J].Acta China Coal Society,2018,43(8):2211-2216.(in Chinese)
• [11] 李成武，王金贵，解北京，等.基于HJC本构模型的煤岩SHPB实验数值模拟[J].采矿与安全工程学报，2016,33(1):158-164.[11] LI Cheng-wu,WANG Jin-gui,XIE Bei-jing et al.Numerical simulation of coal and rock SHPB experiment based on HJC constitutive model[J].Journal of Mining & Safety Engineering,2016,33(1):158-164.(in Chinese)
• [12] 闻磊，李夕兵，吴秋红，等.花岗斑岩Holmquist-Johnson-Cook本构模型参数研究[J].计算力学学报，2016,33(5):725-731.[12] WEN Lei,LI Xi-bing,WU Qiu-hong et al.Study on the parameters of Holmquist-Johnson-Cook constitutive model of granite porphyry[J].Chinese Journal of Computational Mechanics,2016,33(5):725-731.(in Chinese)
• [13] 方秦，孔祥振，吴昊，等.岩石Holmquist-Johnson-Cook模型参数的确定方法[J].工程力学，2014,31(3):197-204.[13] FANG Qin,KONG Xiang-zhen,WU Hao,et al.Method for determining the parameters of rock Holmquist-Johnson-Cook model[J].Engineering Mechanics,2014,31(3):197-204.(in Chinese)
• [14] LARSON D B,ANDERSON G D.Plane shock wave studies of porous geological media[J].Journal of Geophysical Research,1979,84(B9):4592- 4600.
• [15] FREW D J,FORRESTAL M J,CHEN W.A split Hopkinson pressure bar technique to determine compressive stress-strain data for rock materials[J].Experimental Mechanics,2001,41(1):40- 46.
• [16] FOSSUM A F,SENSENY P E,PFEIFLE T W,et al.Experimental determination of probability distributions for parameters of a Salem limestone cap plasticity model[J].Mechanics of Materials,1995,21(2):119-137.
• [17] 殷志强.高应力储能岩体动力扰动破裂特征研究[D].长沙：中南大学，2012.[17] YIN Zhi-qiang.Research on dynamic disturbance and fracture characteristics of high-stress energy storage rock mass[D].Changsha:Central South University,2012.(in Chinese)
• [18] 王志亮，毕程程，李鸿儒.混凝土爆破损伤的SPH-FEM耦合法数值模拟[J].爆炸与冲击，2018,38(6):1419-1428.[18] WANG Zhi-liang,BI Cheng-cheng,LI Hong-ru.Numerical simulation of concrete blasting damage by sph-fem coupling method[J].Explosion and Shock Waves,2018,38(6):1419-1428.(in Chinese)
• [19] HOLMQUIST T J,JOHNSON G R,COOK W H.A computational constitutive model for concrete subjected to large strains,high strain rates and high pressures[C]//1th International Symposium on Ballistic,QuebecCity,Canada,1993:591- 600.