(1. School of Civil Engineering and Architecture,Anhui University of Science and Technology,Huainan,Anhui 232001,China;
2. Engineering Research Center of Underground Mine Construction,Ministry of Education,Anhui University of Science and Technology,Huainan,Anhui 232001,China)
Analysis of energy evolution and damage characteristics of mudstone under cyclic loading and unloading
Abstract:In order to explore the characteristics of energy dissipation and damage of mudstone specimens under cyclic loading,cyclic loading and unloading tests with incremental stress level and fatigue failure tests are carried out. The plastic strain and energy evolution under different load levels are analyzed. Depending on the fatigue tests,the damage variables are defined from the perspective of energy,and the fatigue life of the specimens under different maximums of the cyclic load is predicted. The results show that the plastic strain and dissipated energy in the initial cycle under the same load level are much larger than those of other cycles,and that the dissipated energy ratio in the initial cycle increases rapidly in the elastic segment and increases abruptly when the specimen approaches to failure. The definition of the damage variables from the perspective of energy can avoid the occurrence of negative damage,and a power function relationship between the fatigue life and the load level of specimens is gained.
[1] 林卓英,吴玉山. 岩石在循环荷载作用下的强度及变形特征[J]. 岩土力学,1987,8(3):31–37.(LIN Zhuoying,WU Yushan. Deformation characteristics and strength of rock under cyclic loading[J]. Rock and Soil Mechanics,1987,8(3):31–37.(in Chinese))
[2] 葛修润,蒋 宇,卢允德,等. 周期荷载作用下岩石疲劳变形特性试验研究[J]. 岩石力学与工程学报,2003,22(10):1 581–1 585. (GE Xiurun,JIANG Yu,LU Yunde,et al. Testing study of fatigue deformation law of rock under cyclic loading[J]. Chinese Journal of Rock Mechanics and Engineering,2003,22(10):1 581–1 585.(in Chinese))
[3] 肖福坤,申志亮,刘 刚,等. 循环加卸载中滞回环与弹塑性应变能关系研究[J]. 岩石力学与工程学报,2014,33(9):1 791–1 797. (XIAO Fukun,SHEN Zhiliang,LIU Gang,et al. Relationship between hysteresis loop and elastoplastic strain energy during cyclic loading and unloading[J]. Chinese Journal of Rock Mechanics and Engineering,2014,33(9):1 791–1 797.(in Chinese))
[4] 杨永杰,段会强,邢鲁义. 周期荷载作用下煤的疲劳变形及能量演化特征[J]. 应用基础与工程科学学报,2018,26(1):154–167.(YANG Yongjie,DUAN Huiqiang,XING Luyi. Fatigue deformation and energy evolution of coal under uniaxial cyclic loading[J]. Journal of Basic Science and Engineering,2018,26(1):154–167.(in Chinese))
[5] 赵 闯,武 科,李术才,等. 循环荷载作用下岩石损伤变形与能量特征分析[J]. 岩土工程学报,2013,35(5):890–896.(ZHAO Chuang,WU Ke,LI Shucai,et al. Energy characteristics and damage deformation of rock subjected to cyclic loading[J]. Chinese Journal of Geotechnical Engineering,2013,35(5):890–896.(in Chinese))
[6] 邓华锋,胡 玉,李建林,等. 循环加卸载过程中砂岩能量耗散演化规律[J]. 岩石力学与工程学报,2016,35(增1):2 869–2 875. (DENG Huafeng,HU Yu,LI Jianlin,et al. The evolution of sandstone energy dissipation under cyclic loading and unloading[J]. Chinese Journal of Rock Mechanics and Engineering,2016,35(Supp.1):2 869–2 875.(in Chinese))
[7] 张志镇,高 峰. 单轴压缩下红砂岩能量演化试验研究[J]. 岩石力学与工程学报,2012,31(5):953–962.(ZHANG Zhizhen,GAO Feng. Experimental research on energy evolution of red sandstone samples under uniaxial compression[J]. Chinese Journal of Rock Mechanics and Engineering,2012,31(5):953–962.(in Chinese))
[8] 许 江,李波波,周 婷,等. 循环荷载作用下煤变形与能量演化规律试验研究[J]. 岩石力学与工程学报,2014,33(增2):3 563–3 572. (XU Jiang,LI Bobo,ZHOU Ting,et al. Experimental study of deformation and energy evolution law of coal under cyclic loading[J]. Chinese Journal of Rock Mechanics and Engineering,2014,33(Supp.2):3 563–3 572.(in Chinese))
[9] 何明明,陈蕴生,李 宁,等. 单轴循环荷载作用下砂岩变形特性与能量特征[J]. 煤炭学报,2015,40(8):1 805–1 812.(HE Mingming,CHEN Yunsheng,LI Ning,et al. Deformation and energy characteristics of sandstone subjected to uniaxial cyclic loading[J]. Journal of China Coal Society,2015,40(8):1 805–1 812.(in Chinese))
[10] 金解放,钟海兵,吴 越,等. 静载荷与循环冲击作用下岩石损伤变量定义方法的选择[J]. 有色金属科学与工程,2013,4(4):85–90.(JIN Jiefang,ZHONG Haibing,WU Yue,et al. Method selection for defining damage variable of rock subjected to static loadings and cyclic impacts[J]. Nonferrous Metals Science and Engineering,2013,4(4):85–90.(in Chinese))
[11] 谢和平,鞠 杨,董毓利. 经典损伤定义中的“弹性模量法”探讨[J]. 力学与实践,1997,19(2):2–6.(XIE Heping,JU Yang,DONG Yuli. Research on plastic modulus method for classical damage mechanical definition[J]. Mechanical and Practice,1997,19(2):2–6.(in Chinese))
[12] 郭子红,刘新荣,刘保县,等. 基于塑性体积应变的岩石损伤变形特性实验研究[J]. 实验力学,2010,25(3):223–298.(GUO Zihong,LIU Xinrong,LIU Baoxian,et al. Experiment study of rock damage deformation characteristics based on plastic volumetric strain analysin[J]. Journal of Experimental Mechanics,2010,25(3):223–298.(in Chinese))
[13] 彭瑞东,鞠 杨,高 峰,等. 三轴循环加卸载下煤岩损伤的能量机制分析[J]. 煤炭学报,2014,39(2):245–252.(PENG Ruidong,JU Yang,GAO Feng,et al. Energy analysis on damage of coal under cycling triaxial loading and unloading conditions[J]. Journal of China Coal Society,2014,39(2):245–252.(in Chinese))
[14] 张全胜,杨更社,任建喜. 岩石损伤变量及本构方程的新探讨[J]. 岩石力学与工程学报,2003,22(1):30–34.(ZHANG Quansheng,YANG Gengshe,REN Jianxi. New study of damage variable and constitutive equation of rock[J]. Chinese Journal of Rock Mechanics and Engineering,2003,22(1):30–34.(in Chinese))
[15] 金丰年,蒋美蓉,高小玲. 基于能量耗散定义损伤变量的方法[J]. 岩石力学与工程学报,2004,23(12):1 976–1 980.(JIN Fengnian,JIANG Meirong,GAO Xiaoling. Defining damage variable based on energy dissipation[J]. Chinese Journal of Rock Mechanics and Engineering,2004,23(12):1 976–1 980.(in Chinese))
[16] 李 博,肖 威,王华伟. 岩石损伤模量分析[J]. 地震工程学报, 2018,40(2):384–388.(LI Bo,XIAO Wei,WANG Huawei. Analysis of damage modulus of rock[J]. China Earthquake Engineering Journal,2018,40(2):384–388.(in Chinese))
[17] LIU X S,NING J G,TAN Y L,et al. Damage constitutive model based on energy dissipation for intact rock subjected to cyclic loading[J]. International Journal of Rock Mechanics and Mining Sciences,2016,85:27–32.
[18] 张振杰,朱杰兵,汪 斌,等. 基于能量耗散机制的片麻状花岗岩损伤与剪胀演化规律[J]. 岩石力学与工程学报,2018,37(增1):3 441–3 448.(ZHANG Zhenjie,ZHU Jiebing,WANG Bin,et al. The damage and shear dilation property evolution based on energy dissipation mechanism of gneissic granite[J]. Chinese Journal of Rock Mechanics and Engineering,2018,37(Supp.1):3 441–3 448.(in Chinese))
[19] 蔡美峰,何满朝,刘东燕. 岩石力学与工程[M]. 北京:科学出版社,2002:55–57.(CAI Meifeng,HE Manchao,LIU Dongyan. Rock mechanics and engineering[M]. Beijing:Science Press,2002:55–57.(in Chinese))
[20] 刘建锋,裴建良,张 茹,等. 基于多级荷载试验的岩石损伤模量探讨[J]. 岩石力学与工程学报,2012,31(增1):3 145–3 151.(LIU Jianfeng,PEI Jianliang,ZHANG Ru,et al. Discussion on damage modulus for rock based on multi-level load test[J]. Chinese Journal of Rock Mechanics and Engineering,2012,31(Supp.1):3 145–3 151.(in Chinese))
[21] 郭印同,赵克烈,孙冠华,等. 周期荷载下盐岩的疲劳变形及损伤特性研究[J]. 岩土力学,2011,32(5):1 353–1 359.(GUO Yintong,ZHAO Kelie,SUN Guanhua,et al. Experimental study of fatigue deformation and damage characteristics of salt rock under cyclic loading[J]. Rock and Soil Mechanics,2011,32(5):1 353–1 359.(in Chinese))
[22] 葛修润. 周期荷载作用下岩石大型三轴试件的变形和强度特征研究[J]. 岩土力学,1987,8(2):11–19.(GE Xiurun. Study of deformation and strength behavior of the large-sized triaxial rock samples under cyclic loading[J]. Rock and Soil Mechanics,1987,8(2):11–19.(in Chinese))
[23] 冯春林,吴献强,丁德馨,等. 周期荷载作用下白砂岩的疲劳特性研究[J]. 岩石力学与工程学报,2009,28(增1):2 749–2 754. (FENG Chunlin,WU Xianqiang,DING Dexin,et al. Investigation on fatigue characteristics of white sandstone under cyclic loading[J]. Chinese Journal of Rock Mechanics and Engineering,2009,28(Supp.1):2 749–2 754.(in Chinese))