循环荷载下岩盐Poyhting-Thomson模型研究

PDF(1333 KB)

振动与冲击 ›› 2018, Vol. 37 ›› Issue (13) : 203-209.

论文

许宏发齐亮亮刘斌柏准

作者信息 +

Poyhting-Thomson model of rock salt under cyclic loading

XU Hong-fa, QI Liang-liang, LIU Bin, BAI Zhun

Author information +

文章历史 +

摘要

循环荷载下盐岩流变模型，是岩石力学的重要内容之一。本文利用Poyhting-Thomson模型，根据岩样真实循环加载疲劳过程，推导出初始匀速加载段和正弦循环加载段的应变随时间变化的本构方程。对盐岩进行了循环加载疲劳试验，由于疲劳损伤的原因，平均应变值随时间延长等速增加。据此，对理论本构方程进行了修正，用时间的幂函数来描述应变增量，得到了修正的Poyhting-Thomson疲劳流变本构方程。匀速加载阶段理论模型能较好模拟试验曲线。用修正的流变本构模型对循环加载疲劳阶段的应变曲线的上限线、下限线和中间线进行拟合分析，得到了相应的拟合参数。取参数的平均值，用修正模型对试验疲劳曲线进行了模拟，模拟曲线与试验曲线比较接近，几乎可以代替试验。通过试验和数学验证表明，Poyhting-Thomson模型及其修正的模型，来描述循环载荷作用下盐岩的疲劳应变发展是可行的，能较好的刻画应变随时间变化的规律。

Abstract

The rheological model of rock salt under cyclic loading is one of important contents of rock mechanics. Here, according to the actual cyclic loading fatigue process of rock salt samples, rock salt’s strain versus time constitutive equation within initial uniform velocity loading stage and sinusoidal cyclic loading one was deduced based on Poyhting-Thomson model. The cyclic loading fatigue tests of rock salt were conducted. Due to fatigue damage, the average strain increases at equal speed with increase in time. Accordingly, the theoretical constitutive equation was modified, and the power function of time was used to describe the strain increment to obtain the modified Poyhting-Thomson fatigue rheological constitutive equation. In uniform velocity loading stage, the theoretical model was able to simulate the test curve well. The modified rheological constitutive model was used to fit the upper limit line, lower limit one, and middle one of rock salt’s fatigue strain curve in cyclic loading stage to get corresponding fitting parameters. Then taking the average values of fitting parameters, the modified model was used to simulate the fatigue test curve, the simulated curve agreed well with the test one and it could almost replace the test one. Test and simulation showed that Poyhting - Thomson model and its modified model are feasible to describe rock salt’s fatigue strain development under cyclic loading, they can better depict the law of rock salt’s strain versus time.

导出引用

许宏发齐亮亮刘斌柏准. 循环荷载下岩盐Poyhting-Thomson模型研究[J]. 振动与冲击, 2018, 37(13): 203-209

XU Hong-fa, QI Liang-liang, LIU Bin, BAI Zhun. Poyhting-Thomson model of rock salt under cyclic loading[J]. Journal of Vibration and Shock, 2018, 37(13): 203-209

参考文献

[1] FUENKAJORN K, PHUEAKPHUM D. Effects of cyclic loading on mechanical properties of MahaSarakhamsalt[J]. Engineering Geology, 2010, 112: 43–52.
[2] 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): 1353–1359. (GUO Yin-tong，ZHAO Ke-lie，SUN Guan-hua，et al.Experimental study of fatigue deformation and damage characteristics of salt rock under cyclic loading[J].Rock and Soil Mechanics,2011,32(5):1353-1359.(in Chinese))
[3] 杨春和，马洪岭，刘建锋. 循环加、卸载下盐岩变形特性试验研究[J]. 岩土力学, 2009, 30(12): 3562-3568. (YANG Chun-he, MA Hong-ling, LIU Jian-feng.Study of deformation of rock salt under cycling loading and unloading [J]. Rock and Soil Mechanics, 2009, 30(12): 3562-3568. (in Chinese))
[4] 高红波，梁卫国，徐素国，等. 循环载荷作用下盐岩力学特性响应研究[J]. 岩石力学与工程学报, 2011, 30(S1): 2617-2623. (GAO Hongbo，LIANG Weiguo，XU Suguo，et al. Study of mechanical behavior response of salt rock under cyclic loading[J]. Chinese Journal of Rock Mechanics and Engineering, , 2011, 30(增1): 2617-2623. (in Chinese))
[5] LIANG Wei-guo, ZHANG Chuan-da, GAO Hong-bo, et al. Experiments on mechanical properties of salt rocks under cyclic loading[J]. Journal of Rock Mechanics and Geotechnical Engineering, 2012, 4(1): 54–61.
[6] Liu Jianfeng, XieHeping, HouZhengmeng, et al. Damage evolution of rock salt under cyclic loading in unixialtests[J]. 2014, 9(1): 153–160.
[7] 任松，白月明，姜德义，等. 温度对盐岩疲劳特性影响的试验研究[J]. 岩石力学与工程学报, 2012, 31(9): 1839- 1845. (REN Song，BAI Yueming，JIANG Deyi，et al. Experimental study of temperature effect on fatigue property of salt rock [J]. Chinese Journal of Rock Mechanics and Engineering, 2012, 31(9): 1839- 1845. (in Chinese))
[8] 任松，白月明，姜德义，等. 周期荷载作用下盐岩声发射特征试验研究[J]. 岩土力学, 2012, 33(6): 1613-1619. (REN Song，BAI Yueming，JIANG Deyi，et al. Experimental research on acoustic emission property of salt rock under cyclic loading[J]. Rock and Soil Mechanics, 2012, 33(6): 1613-1619. (in Chinese)).
[9] 许宏发, 王晨, 马林建, 等. 三轴低频循环荷载下盐岩体积应变特性研究[J]. 岩土工程学报, 2015, 37(4): 741-746. (XU Hong-Fa, WANG Chen, MA Lin-Jian, DONG Lu. Volumetric strain of rock salt under triaxial low-frequency cyclic loading[J]. Chinese Journal of Geotechnical Engineering, 2011, 32(5): 1353-1359. (in Chinese))
[10] 韩林，刘向君，刘洪，等. 多次酸化砂岩在三轴循环压缩中的变形特征分析[J]. 岩石力学与工程学报, 2009, 28(S1): 2755-2759. (HAN Lin，LIU Xiangjun，LIU Hong，et al. Analysis of deformation of sandstone with multiple acid treatments under triaxial cyclic compression[J]. Chinese Journal of Rock Mechanics and Engineering, 2009, 28(S1): 2755-2759. (in Chinese))
[11] 许宏发, 王武, 方秦,等. 循环荷载下岩石塑性应变演化模型[J]. 解放军理工大学学报(自然科学版), 2012, 13(3): 282- 286. (XU Hong-fa, WANG Wu, FANG Qin, et al. Evolution model of rock plastic strain under cyclic loading[J]. Journal of PLA University of Science and Technology (Natural Science Edition), 2012, 13(3): 282- 286.
[12] 肖建清，丁德馨，蒋复量，等. 岩石疲劳损伤模型的参数估计方法研究[J]. 岩土力学, 2009, 30(6): 1635-1638. (XIAO Jian-qing, DING De-xin, JIANG Fu-liang, et al. Parameter estimation method of fatigue damage model of rock[J]. Rock and Soil Mechanics, 2009, 30(6): 1635-1638. (in Chinese))
[13]刘少赫,许金余,王鹏,张国喜. 围压条件下砂岩循环冲击损伤的力学与超声分析[J]. 振动与冲击,2015,(01):190-194. Liu Shaohe, XuJinyu, Wang Peng, Zhang Guoxi.Mechanics and Ultrasonic Analysis of Sandstone Impact Damage under Confining Pressure [J]. Journal of Vibration and Shock, 2015, (01): 190-194.
[14]宫凤强,李夕兵,刘希灵. 三轴SHPB加载下砂岩力学特性及破坏模式试验研究[J]. 振动与冲击,2012,(08):29-32.Gong Fengqiang, Li Xibing, Liu Xiling. Experimental study on mechanical properties and failure modes of sandstone under triaxial SHPB loading [J]. Journal of Vibration and Shock, 2012, (08): 29-32.
[15] Song Haipeng, Zhang Hao, Kang Yilan, et al. Damage evolution study of sandstone by cyclic uniaxial test and digital image correlation[J]. Tectonophysics, 2013, 608: 1343–1348.
[16] Bagde M. N., Petros V. Fatigue and dynamic energy behavior of rock subjected to cyclical loading[J]. International Journal of Rock Mechanics & Mining Sciences, 2009, 46: 200–209.
[17] Taheri A., Royle A., Yang Z., et al. Study on variations of peak strength of a sandstone during cyclic loading[J]. Geomechanics and Geophysics for Geo-Energy and Geo- Resources, 2016, 2(1): 1–10.
[18]许金余,吕晓聪,张军,刘军忠,白二雷. 循环冲击作用下围压对斜长角闪岩动态特性的影响研究[J]. 振动与冲击,2010,(08):60-63+72+242.XuJinyu, LvXiaocong, Zhang Jun, Liu Junzhong, BaiErlei.Study on the influence of confining pressure on the dynamic characteristics of plagioclase amphibolite under cyclic impact. Journal of Vibration and Shock,2010,(08):60-63+72+242.
[19] 黄明，刘新荣，祝云华，等. 低频周期荷载下广义Kelvin-Voigt 模型特性研究[J]. 岩土力学, 2009, 30(8): 2300-2304. (HUANG Ming，LIU Xin-rong，ZHU Yun-hua，et al. A study of behaviors of generalized Kelvin-Voigt model under low frequency cyclic load[J]. Rock and Soil Mechanics, 2009, 30(8): 2300-2304.
[20] 范广勤. 岩土工程流变力学[M]. 北京：煤炭工业出版社，1993.Fan Guangqin. Geotechnical Engineering Rheology [M]. Beijing: Coal Industry Press, 1993.