[1]刘 杰,谢晓康,高素芳,等.基于表观弹性模量变化规律的类岩石材料滞回环形态分类及预测研究[J].西安建筑科技大学学报(自然科学版),2020,52(04):485-494，504.[doi:10.15986-j.1006-7930.2020.04.004]
　LIU Jie,XIE Xiaokang,GAO Sufang,et al.Study on classifications and prediction of rock hysteresis loop based on apparent elastic modulus change law[J].J. Xi’an Univ. of Arch. & Tech.(Natural Science Edition),2020,52(04):485-494，504.[doi:10.15986-j.1006-7930.2020.04.004]
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基于表观弹性模量变化规律的类岩石材料滞回环形态分类及预测研究()
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西安建筑科技大学学报（自然科学版）[ISSN:1006-7930/CN:61-1295/TU]

卷:
52
期数:
2020年04期
页码:
485-494，504
栏目:
出版日期:
2020-08-28

文章信息/Info

Title:
Study on classifications and prediction of rock hysteresis loop based on apparent elastic modulus change law
文章编号:
1006-7930(2020)04-0485-10
作者:
刘 杰1; 2; 谢晓康1; 2; 高素芳3; 杨渝南1; 2; 兰 俊1; 2; 王 飞1; 2
(1.三峡大学 湖北省地质灾害防治工程技术中心,湖北 宜昌443002; 2.三峡大学 三峡库区地质灾害教育部重点实验室,湖北 宜昌 443002; 3.北京市勘察设计研究院有限公司,北京 100038)
Author(s):
LIU Jie1; 2;  XIE Xiaokang 1; 2; GAO Sufang3;  YANG Yunan1; 2; LAN Jun1; 2;  WANG Fei 1; 2
(1. Engineering Technology Center for Geological Disaster Prevention of Hubei Province, China Three Gorges University,Hubei Yichang 443002,China; 2.Key Laboratory of Geological azards on Three Gorges Reservoir Area, Ministry of Education, China Three Gorges University, Hubei Yichang 443002,China; 3.BGI Engineering Consultants Ltd., Beijing 100038,China)
关键词:
循环加卸载;  表观弹性模量;  滞回环形态分类;  滞回环预测
Keywords:
cyclic loading and unloading;  apparent elastic modulus;  classification of hysteresis loops;  prediction of hysteresis loops
分类号:
TU 443
DOI:
10.15986-j.1006-7930.2020.04.004
文献标志码:
A
摘要:
基于RMT-150C岩石力学试验系统,研究循环载荷下砂岩的力学响应,基于提出的E(t)=af(t)+b关系式,根据加载段表观弹性模量的变化规律,将非瞬时加载的滞回环形态分为持续增大、持续减小和先增后减三种形态.指出表观弹性模量的变化是由试样内部微裂隙、微孔洞的压密系数a1和滑移展开数a2两种因素共同作用的结果,并结合公式中a=a1+a2值的正负变化分析三种形态滞回环产生机理.根据公式中a值和b值随峰值、加载频率和围压变化存在的规律,可由两个及以上已知滞回环完成对其它任意滞回环的预测,并给出了详细的计算公式及流程,同时对每种不同滞回环的实例进行机理分析.试验证明,本预测方法适用于不同峰值(64～112 kN)、不同加载速率(0.2～20 kN/s)与围压(0～20 MPa)条件下三种不同形态滞回环.
Abstract:
Based on the RMT-150C rock mechanics test system, the mechanical response of sandstone samples under cyclic loading was studied. Based on the proposed E(t)=af(t)+b relation, and according to the change law of apparent elastic modulus of the loading section, the hysteretic loop forms under non-instantaneous loading were divided into three forms: continuous increased, continuously decreased, and first increase and then decrease. It is pointed out that the change of the apparent modulus of elasticity is the result of the joint action of the micro-crack inside the sample, the compression density coefficient a1 of the micro-hole and the slip expansion number a2. In combination with the positive and negative change of a=a1+a2 value in the formula, the mechanism of the three forms of hysteresis loop is analyzed. According to the change law of A value and B value in the formula with the change of peak value, loading frequency and confining pressure, two or more known hysteresis loops can be used to predict any other hysteresis loops, and the detailed calculation formula and process are given. Meanwhile, the mechanism analysis of each different hysteresis loop is carried out. The test results show that the prediction method is applicable to three types of hysteresis loops with different peak values(64～112 kN), loading rates(0.2～20 kN/s)and confining pressures(0～20 MPa).

参考文献/References:

[1] 刘杰,李建林,邓华锋,等.宜昌砂岩三角波加载段变形速率预测模型研究[J]. 岩石力学与工程学报,2010,29(3):633-639.
LIU Jie, LI Jianlin, DENG Huafeng, et al. Study on the deformation rate prediction model of the triangular wave loading section of Yichang sandstone[J]. Chinese Journal of Rock Mechanics and Engineering,2010,29(3):633-639.
[2] MC CALL K R,GUYER R A. Equation of state and wave propagation in hysteretic nonlinear elastic material[J]. Journal of Geophysical Research,1994,99(B12):23897-25887.
[3] TUTUNCU A N,PODIO A L,SHARMA M M. Nonlinear visco-Elastic behavior of sedimentary rocks,part I:Effect of frequency and strain amplitude[J]. Geoohysics,1998,63(1):184-190.
[4] TUTUNCU A N,PODIO A L,SHARMA M M. Nonlinear visco-elastic behavior of sedimentary rocks,part II:hysteresis effect and influence of type of fluid on elastic moduli[J]. Geophysics,1998,63(1):195-203.
[5] 席道瑛,刘斌,刘卫,等.饱和多孔岩石弛豫衰减对时间和温度的依赖性[J]. 地球物理学报,2000,43(6):827-834.
XI Daoying, LIU Bin, LIU Wei, et al. Dependence of relaxation and relaxation on time and temperature of saturated porous rock [J].Chinese Journal of Geophysics,2000,43(6):827-834.
[6] 尤明庆,苏承东,徐涛.岩石试样的加载卸荷过程及杨氏模量[J]. 岩土工程学报,2001,23(5):588-592.
YOU Mingqing, SU Chengdong, XU Tao.Preparation and Young’s modulus of rock specimen [J]. Journal of Geotechnical Engineering,2001,23(5):588-592.
[7] 陈运平,席道瑛,薛彦伟. 循环载荷下饱和岩石的应力 - 应变动态响应[J]. 石油地球物理勘探,2003,38(4):409-413.
CHEN Yunping, XI Daoying, XUE Yanwei.Stress-strain dynamic response of saturated rocks under cyclic loading[J]. Petroleum Geophysical Prospecting,2003,38(4):409-413.
[8] 陈运平,席道瑛,薛彦伟.循环荷载下饱和岩石的滞后和衰减[J]. 地球物理学报,2004,47(4):672-679.
CHEN Yunping, XI Daoying, XUE Yanwei. Delay and attenuation of saturated rock under cyclic loading [J]. Journal of Geophysics,2004,47(4):672-679.
[9] 陈运平,刘干斌,姚海林.岩石滞后非线性弹性模拟的研究[J]. 岩石力学与工程学报,2006,27(3):341-347.
CHEN Yunping, LIU,Ganbin YAO Hailin.Study on nonlinear elasticity of rock lag [J].Chinese Journal of Rock Mechanics and Engineering,,2006,27(3):341-347.
[10]席道瑛,陈运平,陶月赞,等.岩石的非线性弹性滞后特征[J]. 岩石力学与工程学报, 2006, 25(6): 1086-1092.
XI Daoying, CHEN Yunping, TAO Yuezan,et al.Characteristics of nonlinear elastic hysteresis of rock [J].Chinese Journal of Rock Mechanics and Engineering,2006, 25(6): 1086-1092.
[11]许江,杨秀贵,王鸿,等.周期性载荷作用下岩石滞回曲线的演化规律[J]. 西南交通大学学报,2005,40(6):754-758.
XU Jiang, YANG Xiugui, WANG Hong et al. Characteristics of hysteresis curve of rock under periodic load [J]. Journal of Southwest Jiaotong University,2005,40(6):754-758.
[12]许江,尹光志,王鸿,等.不同应力水平时砂岩滞回曲线演化的实验研究[J]. 重庆建筑大学学报,2006,28(2):40-42.
XU Jiang,YIN Guangzhi,WANG Hong, et al. Characteristics of hysteresis curve of rock under periodic load [J]. Journal of Southwest Jiaotong University,2006,28(2):40-42.
[13] 王鸿,许江,杨秀贵.循环载荷条件下岩石塑性滞回环的演化规律[J]. 重庆大学学报(自然科学版),2006,29(4):80-82.
WANG Hong, XU Jiang, YANG Xiugui. Characteristics of evolution of rock plastic hysteresis loop under cyclic loading [J]. Journal of Chongqing University(Natural Science Edition),2006,29(4):80-82.
[14]王鸿,许江,李树春,等.不同水饱和度下岩石滞回曲线演化的实验研究[J]. 矿业研究与开发,2007,27(3):18-21.
WANG Hong, XU Jiang, LI Shuchun et al. Experimental study on evolution of rock hysteresis curve under different water saturation [J]. Mining Research and Development,2007,27(3):18-21.
[15]刘建锋,谢和平,徐进,等.循环荷载作用下岩石阻尼特性的试验研究[J]. 岩石力学与工程学报,2008,27(4):712-717.
LIU Jianfeng, XIE Heping, XU Jin, et al. Experimental study on rock damping characteristics under cyclic loading [J]. Journal of Rock Mechanics and Engineering2008,27(4):712-717.
[16]陈运平,王思敬.多级循环荷载下饱和岩石的弹塑性响应[J]. 岩土力学,2010,31(4):1030-1034.
CHEN Yunping, WANG Sijing.Ecoplastic-plastic response of saturated rock under multi-stage cyclic loading [J]. Rock and Soil Mechanics,2010,31(4):1030-1034.
[17]邓华峰,胡玉,李建林,等,循环荷载的频率和幅值对砂岩动力特性的影响[J],岩土力学,2017,38(12):3402-3409,3418.
DENG Huafeng, HU Yu, LI JianLin, et al.The influence of frequency and amplitade of cylie load on the dynamic charcteristics of sandstone[J]: Rock and Soil Mechanic, 2017, 38(12):3402-3409,3418.
[18]张向阳,成建,康永红,等.循环加卸载下岩石变形破坏的损伤、能量分析[J]. 有色金属(矿山部分),2011,63(5):41-45.
ZHANG Xiangyang, CHENG Jian, KANG Yonghong, et al. Damage and energy analysis of rock deformation and failure under cyclic loading and unloading[J]. Nonferrous Metals(Mining Section),2011,63(5):41-45.
[19]张媛,许江,杨红伟,等.循环荷载作用下围压对砂岩滞回环演化规律的影响[J]. 岩石力学与工程学报,2011,30(2):320-326.
ZHANG Yuan, XU Jiang, YANG Hongwei. et al.The influence of confining pressure on the evolution of sandstone hysteretic loop under cyclic loading[J]. Chinese Journal of Rock Mechanics and Engineering, 2011, 30(2): 320-326.

备注/Memo

备注/Memo:
收稿日期:2019-06-26 修改稿日期:2020-07-09
基金项目:湖北长江三峡滑坡国家野外科学观测研究站开放基金资助项目(2018KTL08); 长江科学院开放研究基金资助项目(CKWV2016377/KY); 三峡大学硕士学位论文培优基金资助项目(2020SSPY021)
第一作者:刘杰(1979-),男,博士,教授,博导,主要从事岩土边坡工程及卸荷岩体力学研究.E-mail:liujiea@126.com
通讯作者:高素芳(1994-),女,硕士,主要从事环境岩土工程勘察设计.E-mail:gaosusu@126.com
更新日期/Last Update: 2020-09-25