基于三轴压缩循环加卸载试验结果,对黄砂岩峰值强度、变形特征、弹性模量、能量转化和阻尼比变化规律开展了试验研究。结果表明:随着围压的增大,黄砂岩峰值强度满足线性增长的关系;而循环荷载对黄砂岩峰值强度影响较小。通过弹塑性应变分离,发现弹塑性应变量和弹塑性应变占比在岩石破坏的循环次数里存在陡变情况;在0~20 MPa围压下,黄砂岩加卸载弹性模量随围压增大而增大,当围压>20 MPa时,围压对黄砂岩加卸载弹性模量的影响变小。利用有限差分的方法计算了黄砂岩应变能、耗散能和阻尼比,得出耗散能随着循环次数增加先增加后减小,而阻尼比随循环次数增加先减小后增大,然后不断减小,最后趋于定值。研究成果可为黄砂岩工程应用提供一定的理论依据。
Abstract
The variation rules of peak strength, deformation characteristics, elastic modulus, energy conversion and damping ratio of yellow sandstone were studied based on triaxial cyclic loading and unloading compression test. Experimental results revealed a linear relation between peak strength and confining pressure, while the cyclic load had little effect on the peak strength of yellow sandstone. Axial strain was separated into elastic strain and plastic strain, and the value and the proportion of elastic strain and plastic strain both changed abruptly in the cyclic loading process. Within the loading range of 0-20 MPa, the elastic modulus of yellow sandstone augmented with the climbing of confining pressure, whereas when confining pressure exceeded 20 MPa, the influence of confining pressure alleviated. Furthermore, the strain energy, dissipated energy and damping ratio of yellow sandstone were calculated using finite difference method, and results unveiled that with the proceeding of cyclic loading, the dissipated energy expanded first but then withdrew, while damping ratio was in an opposite trend until reaching a stable value.
关键词
黄砂岩 /
循环加卸载 /
弹性模量 /
能量演化 /
阻尼比
Key words
yellow sandstone /
cyclic loading and unloading /
elastic modulus /
energy evolution /
damping ratio
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参考文献
[1] LEMAITRE J, CHABOCHE J L. Mechanics of Solid Materials[M]. Cambridge: Cambridge University Press,1990.
[2] 苏承东,杨圣奇.循环加卸载下岩样变形与强度特征试验[J].河海大学学报(自然科学版),2006,34(6):667-671.
[3] YUN S J,PALAZOTTO A.Plastic Deformation under Cyclic Loading Using Two-back Stress Hardening Models[J]. International Journal of Fatigue,2008,30(3):473-482.
[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(增刊1):2617-2623.
[5] 谢和平,彭瑞东,鞠 杨.岩石变形破坏过程中的能量耗散分析[J].岩石力学与工程学报,2004, 23(21): 3565-3570.
[6] XIE He-ping,LI Li-yun,JU Yang,et al. Energy Analysis for Damage and Catastrophic Failure of Rocks[J]. Science China Technology Science,2011,54(Supp.1):199-209.
[7] 朱 凌,裴向军,崔圣华,等.含脉状缺陷结构岩石循环加卸载损伤及强度特性试验研究[J]. 岩石力学与工程学报,2019,38(5):900-911.
[8] 汪 泓,杨天鸿,刘洪磊,等.循环荷载下干燥与饱和砂岩力学特性及能量演化[J].岩土力学, 2017,38(6):1600-1608.
[9] 周家文,杨兴国,符文熹,等.脆性岩石单轴循环加卸载试验及断裂损伤力学特性研究[J].岩石力学与工程学报, 2010,29(6):1172-1183.
[10] 魏元龙,杨春和,郭印同,等.三轴循环荷载下页岩变形及破坏特征试验研究[J].岩土工程学报,2015,37(12):2262-2271.
[11] 魏元龙,杨春和,郭印同,等.单轴循环荷载下含天然裂隙脆性页岩变形及破裂特征试验研究[J].岩土力学,2015,36(6):1649-1658.
[12] 陈 岩,左建平,宋洪强,等.煤岩组合体循环加卸载变形及裂纹演化规律研究[J].采矿与安全工程学报,2018,35(4):826-833.
[13] 朱明礼,朱珍德,李 刚,等.循环荷载作用下花岗岩动力特性试验研究[J].岩石力学与工程学报,2009,28(12):2520-2526.
[14] 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.
[15] 杨圣奇,徐卫亚,承 东.岩样单轴压缩变形破坏与能量特征研究[J].固体力学学报, 2006,27(2):110-113.
[16] 杨圣奇,徐卫亚,苏承东.大理岩三轴压缩变形破坏与能量特征研究[J].工程力学, 2007,24(1):144-150.
[17] 肖福坤,刘 刚,申志亮,等.循环载荷作用下煤样能量转化规律和声发射变化特征[J].岩石力学与工程学报, 2016,35(10):1954-1964.
[18] 赵宏刚,张东明,边 光,等.循环加、卸载速率对砂岩变形和渗透特性的影响[J].工程科学学报, 2017,39(1):133-140.
[19] 李子运,吴 光,黄天柱,等.三轴循环荷载作用下页岩能量演化规律及强度失效判据研究[J]. 岩石力学与工程学报, 2018,37(3):662-670.
[20] 杨小彬,程虹铭,吕嘉琦,等.三轴循环荷载下砂岩损伤耗能比演化特征研究[J].岩土力学,2019,40(10):3751-3757,3766.