Experimental study on static fracturing mechanical characteristics of marble after cyclic impact loading
FU Anqi1，YU Liyuan1，2，SU Haijian1，JING Hongwen1，FAN Pengxian2，ZHANG Tao1
(1. State Key Laboratory for Geomechanics and Deep Underground Engineering，China University of Mining and Technology，Xuzhou，Jiangsu 221116，China；2. State Key Laboratory of Disaster Prevention and Mitigation of Explosion and Impact，Army University of Engineering，Nanjing，Jiangsu 210007，China)
Abstract：To study the static fracturing characteristics of marble after cyclic impact damage，cyclic impact loading test under a fixed pressure of 0.10 MPa was carried out on notched semi-circular bend(NSCB) samples by using split Hopkinson pressure bar(SHPB) system for preparing the samples with different degrees of initial damage，and static three-point bending fracture test was performed on the damage samples. The results show that the sub-critical cracks in samples initiate and propagate continuously at a low speed with increasing cyclic impact number and the dynamic peak stress and elastic modulus decrease under equal energy impacts. In the three-point bending fracture test，the static fracturing mechanical properties of samples degrade with increasing the cumulative damage with a maximum decrease of 52.37% in fracture toughness and a maximum increase of 140.49% in failure displacement. There is a linear negative correlation between the fracture toughness and the dynamic cumulative damage with a coefficient of determination(R2) of 0.98. The time distribution of AE events tends to be uniform and the total cumulative number of events increases greatly with increasing sample damage. When the samples are damaged，the cracks begin at the tip of the prefabricated crack and then extend to the loading point. With increasing impact damage，the crack propagation path tends to be tortuous. The local strain concentration zone can well predict the final failure modes of samples.
[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，2005，24(16)：2 803–2 813.(HE Manchao，XIE Heping，PENG Suping，et al. Study on rock mechanics in deep mining engineering[J]. Chinese Journal of Rock Mechanics and Engineering，2005，24(16)：2 803–2 813.(in Chinese))
[2] 钱七虎. 地下工程建设安全面临的挑战与对策[J]. 岩石力学与工程学报，2012，31(10)：1 945–1 956.(QIAN Qihu. Challenges faced by underground projects construction safety and countermeasures[J]. Chinese Journal of Rock Mechanics and Engineering，2012，31(10)：1 945–1 956.(in Chinese))
[3] 严 鹏，卢文波，单治钢，等. 深埋隧洞爆破开挖损伤区检测及特性研究[J]. 岩石力学与工程学报，2009，28(8)：1 552–1 561.(YAN Peng，LU Wenbo，SHAN Yegang，et al. Detecting and study of blasting excavation-induced damage of deep tunnel and its characters[J]. Chinese Journal of Rock Mechanics and Engineering，2009，28(8)： 1 552–1 561.(in Chinese))
[4] 李邵军，冯夏庭，张春生，等. 深埋隧洞TBM开挖损伤区形成与演化过程的数字钻孔摄像观测与分析[J]. 岩石力学与工程学报，2010，29(6)：1 106–1 112.(LI Shaojun，FENG Xiating，ZHANG Chunsheng，et al. Testing on formation and evolution of TBM excavation damaged zone in deep-buried tunnel based on digital panoramic borehole camera technique[J]. Chinese Journal of Rock Mechanics and Engineering，2010，29(6)：1 106–1 112.(in Chinese))
[5] 谢和平，陈忠辉. 岩石力学[M]. 北京：科学出版社，2004：6–30.(XIE Heping，CHEN Zhonghui. Rock mechanics[M]. Beijing：Science Press，2004：6–30.(in Chinese))
[6] BAGDE M N，PETROS V. Fatigue properties of intact sandstone samples subjected to dynamic uniaxial cyclical loading[J]. International Journal of Rock Mechanics and Mining Sciences，2005，42(2)：237–250.
[7] LUO X D，JIANG N，WANG M Y，et al. Response of leptynite subjected to repeated impact loading[J]. Rock Mechanics and Rock Engineering，2016，49(10)：4 137–4 141.
[8] WANG Z L，TIAN N C，WANG J G，et al. Experimental study on damage mechanical characteristics of heat-treated granite under repeated impact[J]. Journal of Materials in Civil Engineering，2018，30(11)：04018274.
[9] 林大能，陈寿如. 循环冲击荷载作用下岩石损伤规律的试验研究[J]. 岩石力学与工程学报，2005，24(22)：4 094–4 098.(LIN Daneng，CHEN Shouru. Experimental study on damage evolution law of rock under cyclical impact loadings[J]. Chinese Journal of Rock Mechanics and Engineering，2005，24(22)：4 094–4 098.(in Chinese))
[10] 金解放，李夕兵. 岩石循环冲击损伤演化模型及静载荷对损伤累积的影响[J]. 岩石力学与工程学报，2014，33(8)：1 662–1 671.(JIN Jiefang，LI Xibing. Evolution model for damage accumulation of rock under cyclic impact loadings and effect of static loads on damage evolution[J]. Chinese Journal of Rock Mechanics and Engineering，2014，33(8)：1 662–1 671.(in Chinese))
[11] 许金余，吕晓聪，张 军，等. 围压条件下岩石循环冲击损伤的能量特性研究[J]. 岩石力学与工程学报，2010，29(增2)：4 159–4 165. (XU Jinyu，LV Xiaocong，ZHANG Jun，et al. Research on energy properties of rock cyclical impact damage under confining pressure[J]. Chinese Journal of Rock Mechanics and Engineering，2010，29(Supp.2)：4 159–4 165.(in Chinese))
[12] 贺晶晶，师俊平. 冻融循环作用下砂岩三点弯曲断裂性能试验及其破坏形态研究[J]. 岩石力学与工程学报，2017，36(12)：2 917–2 925. (HE Jingjing，SHI Junping. Fracturing behavior and failure pattern of sandstone in three-point bending test under freezing-thawing cycles[J]. Chinese Journal of Rock Mechanics and Engineering，2017，36(12)：2 917–2 925.(in Chinese))
[13] 杨健锋，梁卫国，陈跃都，等. 不同水损伤程度下泥岩断裂力学特性试验研究[J]. 岩石力学与工程学报，2017，36(10)：2 431–2 440. (YANG Jianfeng，LIANG Weiguo，CHEN Yuedu，et al. Experiment research on the fracturing characteristics of mudstone with different degrees of water damage[J]. Chinese Journal of Rock Mechanics and Engineering，2017，36(10)：2 431–2 440.(in Chinese))
[14] 韩铁林，师俊平，陈蕴生，等. 不同化学溶液下砂岩I型断裂韧度及其强度参数相关性的试验研究[J]. 固体力学学报，2017，38(5)：451–464.(HAN Tielin，SHI Junping，CHEN Yunsheng，et al. Laboratory investigation on the mode-I fracture toughness and its correlation with the strength characteristic of sandstone immersed in different chemical solutions[J]. Chinese Journal of Solid Mechanics，2017，38(5)：451–464.(in Chinese))
[15] FENG G，KANG Y，MENG T，et al. The in?uence of temperature on mode I fracture toughness and fracture characteristics of sandstone[J]. Rock Mechanics and Rock Engineering，2017，50(8)：2 007–2 019.
[16] ZHOU Y X，XIA K，LI X B，et al. Suggested methods for determining the dynamic strength parameters and mode-I fracture toughness of rock materials[J]. International Journal of Rock Mechanics and Mining Sciences，2012，49：105–112.
[17] 李光雷，蔚立元，苏海健，等. 化学腐蚀灰岩SHPB冲击动力学性能研究[J]. 岩石力学与工程学报，2018，37(9)：2 075–2 083.(LI Guanglei，YU Liyuan，SHU Haijian，et al. Dynamic properties of corroded limestone based on SHPB[J]. Chinese Journal of Rock Mechanics and Engineering，2018，37(9)：2 075–2 083.(in Chinese))
[18] 李夕兵. 岩石动力学基础与应用[M]. 北京：科学出版社，2014：18–38.(LI Xibing. Rock dynamics fundamentals and applications[M]. Beijing：Science Press，2014：18–38.(in Chinese))
[19] KURUPPU M D，OBARA Y，AYATOLLAHI M R，et al. ISRM—suggested method for determining the mode I static fracture toughness using semi-circular bend specimen[J]. Rock Mechanics and Rock Engineering，2014，47(1)：267–274.
[20] HU L Q，LI X B. Damage and fragmentation of rock under experiencing impact load [J]. Journal of Central South University of Technology，2006，13(4)：432–437.
[21] STEVERDING B，LEHNIGK S H. Collision of stress pulses with obstacles and dynamic of fracture[J]. Journal of Applied Physics，1971，42(8)：3 231–3 238.
[22] LAI J Z，SUN W. Dynamic damage and stress-strain relations of ultra-high performance cementitious composites subjected to repeated impact[J]. Science in China Series E：Technological Sciences，2010，53(6)：1 520–1 525.
[23] ULUSAY R. The ISRM suggested methods for rock characterization，testing and monitoring：2007-2014[M]. Switzerland：Springer International Publishing，2015：35–44.
[24] CHONG K P，KURUPPU M D. New specimen for fracture toughness determination for rock and other materials[J]. International Journal of Fracture，1984，26(2)：R59–R62.
[25] KURUPPU M D，OBARA Y，AYATOLLAHI M R，et al. ISRM-Suggested method for determining the mode I static fracture toughness using semi-circular bend specimen[J]. Rock Mechanics and Rock Engineering，2014，47(1)：267–274.
[26] 赵阳升，冯增朝，万志军. 岩体动力破坏的最小能量原理[J]. 岩石力学与工程学报，2003，22(11)：1 781–1 783.(ZHAO Yangsheng，FENG Zhengchao，WAN Zhijun. Least energy principle of dynamic failure of rock mass[J]. Chinese Journal of Rock Mechanics and Engineering，2003，22(11)：1 781–1 783.(in Chinese))
[27] 张 盛，王龙飞，常 旭，等. 中心直裂纹半圆盘试样的石灰岩断裂韧度尺寸效应试验研究[J]. 岩土力学，2019，40(5)：1 740–1 749. (ZHANG Sheng，WANG Longfei，CHANG Xu，et al. Experimental study of the size effect of rock fracture toughness of limestone using the notched semi-circular bend samples[J]. Rock and Soil Mechanics，2019，40(5)：1 740–1 749.(in Chinese))
[28] 彭剑文，李长洪，苗胜军. 砂岩I型断裂的尺寸效应试验研究[J]. 工程科学学报，2017，39(10)：1 477–1 484.(PENG Jianwen，LI Changhong，MIAO Shengjun. Experimental investigation for effect of size on sandstone Mode I fracture[J]. Chinese Journal of Engineering，2017，39(10)：1 477–1 484.(in Chinese))
[29] 李地元，成腾蛟，周 韬，等. 冲击载荷作用下含孔洞大理岩动态力学破坏特性试验研究[J]. 岩石力学与工程学报，2015，34(2)： 249–260.(LI Diyuan，CHENG Tengjiao，ZHOU Tao，et al. Experimental study of the dynamic strength and fracturing characteristics of marble specimens with a single hole under impact loading[J]. Chinese Journal of Rock Mechanics and Engineering，2015，34(2)：249–260.(in Chinese))
[30] LI X B，ZHOU T，LI D Y. Dynamic strength and fracturing behavior of single-flawed prismatic marble specimens under impact loading with a split-Hopkinson pressure bar[J]. Rock Mechanics and Rock Engineering，2017，50(1)：29–44.
2019, Vol. 38 
