一维高应力及重复冲击共同作用下岩石的本构模型

doi:10.13722/j.cnki.jrme.2014.0487

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摘要阐述一维高应力及重复冲击共同作用下岩石的本构模型研究的意义。采用组合模型研究方法，将岩石单元看成一个弹性元件和一个黏性元件串联后与损伤体Da1并联，最后与损伤体Da2串联，构成岩石单元组合体力学模型，推出一维高应力及重复冲击共同作用下岩石的本构方程。针对建立的本构模型，设计矽卡岩、蛇纹岩在一维高应力及重复冲击共同作用下的岩石力学试验，试验结果得出，峰值应力前动态应力–应变曲线变化的趋势一致，没有压密阶段，仅有弹性阶段、非线性变形阶段，峰值应力后出现回弹、不回弹2种现象。借助试验结果对建立的本构模型进行验证，结果表明建立的本构方程的拟合曲线和试验曲线具有很好的一致性。

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关键词 ：岩石力学, 一维高应力, 重复冲击, 本构模型, SHPB试验系统

Abstract：The significance of study on constitutive model of rock under one-dimensional high stress and repeated impact loading was expounded. By the research methods of combination model，rock may be regarded as an elastic element and a cohesive element in series，then with a damage mass Da1 parallel，then with a damage mass Da2 in series，forming a rock combination mechanical model. Then，the constitutive model equation of rock under one-dimensional high stress and repeat impact loading was elucidated. The rock mechanical test of skarn and serpentine under one-dimensional high stress and repeated impact loading was designed. The test results show that before the peak stress，the trends of dynamic stress-strain curve is consistent，without pressure dense phase，only the elastic stage and nonlinear deformation stage. There are two phenomena after the peak stress，one is rebound phenomenon，and the other is not rebound. By comparison between the test results and the theoretical results，it is shown that there is a good coherence between theoretical stress-strain curves and experimental stress-strain curves.

Key words： rock mechanics one-dimensional high stress repeated impact constitutive model SHPB experimental system

引用本文:

王春，唐礼忠，程露萍，邓丽凡，翦英骅，蒋锋. 一维高应力及重复冲击共同作用下岩石的本构模型[J]. 岩石力学与工程学报, 2015, 34(s1): 2868-2878.
WANG Chun，TANG Lizhong，CHENG Luping，DENG Lifan，JIAN Yinghua，JIANG Feng. CONSTITUTIVE MODEL OF ROCK UNDER ONE-DIMENSIONAL HIGH STRESS AND REPEATED IMPACT LOADING. , 2015, 34(s1): 2868-2878.

链接本文:

http://www.rockmech.org/CN/10.13722/j.cnki.jrme.2014.0487 或 http://www.rockmech.org/CN/Y2015/V34/Is1/2868

[1]	蔡美峰，何满潮，刘东燕，等. 岩石力学与工程[M]. 北京：科学出版社，2002：8.(CAI Meifeng，HE Mangchao，LIU Dongyan，et al. Rock mechanics and engineering[M]. Beijing：Science Press，2002：8.(in Chinese)) " target="_blank">
[2]	左宇军，李夕兵，唐春安，等. 二维动静组合加载下岩石破坏的试验研究[J]. 岩石力学与工程学报，2006，25(9)：1 809-1 820.(ZUO Yujun，LI Xibing，TANG Chun?an，et al. Experimental investigation on failure of rock subjected to 2D dynamic-static coupling loading[J]. Chinese Journal of Rock Mechanics and Engineering，2006，25(9)： 1 809-1 820.(in Chinese)) " target="_blank">
[4]	左宇军，李夕兵，唐春安，等. 受静载荷的岩石在周期载荷作用下破坏的试验研究[J]. 岩土力学，2007，28(5)：927-932.(ZUO Yujun，LI Xibing，TANG Chun?an，et al. Experimental investigation on failure of statically loaded rock subjected to periodic load[J]. Rock and Soil Mechanics，2007，28(5)：927-932.(in Chinese)) " target="_blank">
[6]	叶洲元，李夕兵，周子龙，等. 三轴压缩岩石动静组合强度及变形特征的研究[J]. 岩土力学，2009，30(7)：1 981-1 986.(YE Zhouyuan，LI Xibing，ZHOU Zilong，et al. Static-dynamic coupling strength and deformation characteristics of rock under triaxial compression[J]. Rock and Soil Mechanics，2009，30(7)：1 981- 1 986.(in Chinese)) " target="_blank">
[8]	宫凤强，李夕兵，刘希灵. 三维动静组合加载下岩石力学特性试验初探[J]. 岩石力学与工程学报，2011，30(6)：1 178-1 190.(GONG Fengqiang，LI Xibing，LIU Xiling. Preliminary experimental study of characteristics of rock subjected to 3D coupled static and dynamic loads[J]. Chinese Journal of Rock Mechanics and Engineering，2011，30(6)：1 178-1 190.(in Chinese)) " target="_blank">
[10]	于亚伦. 岩石动力学[M]. 北京：北京科技大学出版社，1990：25-37.(YU Yalun. Rock dynamics[M]. Beijing：University of Science and Technology Beijing Press，1990：25-37.(in Chinese)) " target="_blank">
[11]	KINOSHITA S，SATO K，KAWAKITA M. On the mechanical behavior of rocks under impulsive loading[J]. Bulletin of the Faculty of Engineering Hokkaido University，1977，8(3)：51-62. " target="_blank">
[13]	谢理想，赵光明，孟祥瑞. 岩石在冲击载荷下的过应力本构模型研究[J]. 岩石力学与工程学报，2013，32(增1)：2 772-2 781.(XIE Lixiang，ZHAO Guangming，MENG Xiangrui. Research on excess stress constitutive model of rock under impact load[J]. Chinese Journal of Rock Mechanics and Engineering，2013，32(Supp.1)：2 772-2 781. (in Chinese)) " target="_blank">
[15]	GREEN J S，PERKINS R D. Uniaxial compression tests at varying strain rates on three geologic materials[C]// Basic and Applied Rock Mechanics(3). [S. 1.]：[S. n.]，1970：35-52. " target="_blank">
[17]	陈静曦. 动、静载作用下裂纹扩展的异同点[J]. 岩土力学，1990，11(2)：73-77.(CHEN Jingxi. Similarities and differences of crack expanding under dynamic and static loadings[J]. Rock and Soil Mechanics，1990，11(2)：73-77.(in Chinese)) " target="_blank">
[19]	VAN HEERDEN W L. General relations between static and dynamic moduli of rocks[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstacts，1987，24(6)：381-385. " target="_blank">
[21]	左宇军，李夕兵，马春德，等. 动静组合载荷作用下岩石失稳破坏的突变理论模型与试验研究[J]. 岩石力学与工程学报，2005，24(5)：741-746.(ZUO Yujun，LI Xibing，MA Chunde，et al. Catastrophic model and testing study on failure of static loading rock system under dynamic loading[J]. Chinese Journal of Rock Mechanics and Engineering，2005，24(5)：741-746.(in Chinese))
[23]	周子龙. 岩石动静组合加载试验与力学特性研究[博士学位论文][D]. 长沙：中南大学，2007.(ZHOU Zilong. Study of experimental and mechanical behaviors of rock static-dynamic coupling loads[Ph. D. Thesis][D]. Changsha：Central South University，2007.(in Chinese)) " target="_blank">
[26]	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)) " target="_blank">
[27]	金解放，李夕兵，殷志强，等. 轴压和循环冲击次数对砂岩动态力学特性的影响[J]. 煤炭学报，2012，37(6)：923-930.(JIN Jiefang，LI Xibing，YIN Zhiqiang，et al. Effects of axial pressure and number of cyclic impacts on dynamic mechanical characteristics of sandstone[J]. Journal of China Coal Society，2012，37(6)：923-930.(in Chinese)) " target="_blank">
[28]	LI X B，LOK T S，ZHAO J. Dynamic characteristics of granite subjected to intermediate loading rate[J]. Rock Mechanics and Rock Engineering，2005，38(1)：21-39.
[30]	楼沩涛. 花岗岩体中应力波传播计算的动态本构关系[J]. 爆炸与冲击，1989，9(3)：220-227.(LOU Weitao. A dynamic constitutive relation for calculating stress waves propagating in granite[J]. Explosion and Shock Waves，1989，9(3)：220-227.(in Chinese)) " target="_blank">
[34]	郑永来，周澄，夏颂佑. 岩土材料黏弹性连续损伤本构模型探讨[J]. 河海大学学报，1997，25(2)：114-116.(ZHENG Yonglai，ZHOU Cheng，XIA Songyou. Discussion on viscoelastic continuum damage constitutive model of rock and soil[J]. Journal of Hehai University，1997，25(2)：114-116.(in Chinese)) " target="_blank">
[38]	李夕兵，周子龙，叶洲元，等. 岩石动静组合加载力学特性研究[J]. 岩石力学与工程学报，2008，27(7)：1 387-1 395.(LI Xibing，ZHOU Zilong，YE Zhouyuan，et al. Study of rock mechanical characteristics under coupled static and dynamic loads[J]. Chinese Journal of Rock Mechanics and Engineering，2008，27(7)：1 387-1 395.(in Chinese)) " target="_blank">
[7]	催栋梁. 三维动静组合载荷下高应力岩体动力特性及岩爆研究[硕士学位论文][D]. 长沙：中南大学，2007.(CUI Dongliang. Study of rock dynamical characteristics and rockburst mechanism under three-dimensional coupled static-dynamic loads[M. S. Thesis][D]. Changsha：Central South University，2007.(in Chinese)) " target="_blank">
[3]	李夕兵，宫凤强，ZHAO J，等. 一维动静组合加载下岩石冲击破坏试验研究[J]. 岩石力学与工程学报，2010，29(2)：251-260.(LI Xibing，GONG Fengqiang，ZHAO J，et al. Impact failure characteristicsstudy of rock subjected to 1D coupled static and dynamic loads[J]. Chinese Journal of Rock Mechanics and Engineering，2010，29(2)：251-260.(in Chinese))
[5]	宫凤强，李夕兵，刘希灵，等. 一维动静组合加载下砂岩动力学特性的试验研究[J]. 岩石力学与工程学报，2010，29(10)：2 076- 2 085.(GONG Fengqiang，LI Xibing，LIU Xiling，et al. Experimental study of dynamic characteristics of sandstone under one-dimensional coupled static and dynamic loads[J]. Chinese Journal of Rock Mechanics and Engineering，2010，29(10)：2 076-2 085.(in Chinese)) " target="_blank">
[9]	LINDHOLM U S，YEAKLEY L M，NAGY A. The dynamic strength and fracture properties of dresser basalt[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstacts，1974，11(2)：181-191. " target="_blank">
[12]	单仁亮，薛友松，张倩. 岩石动态破坏的时效损伤本构模型[J]. 岩石力学与工程学报，2003，22(11)：1 771-1 776.(SHAN Renliang，XUE Yousong，ZHANG Qian. Time dependent damage models of rock under dynamic loading[J]. Chinese Journal of Rock Mechanics and Engineering，2003，22(11)：1 771-1 776.(in Chinese)) " target="_blank">
[14]	OLSSON W A. The compressive strength of tuff as a function of strain rate from 10－6 to 10－3 s－1[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstacts，1991，28(1)：115-118. " target="_blank">
[16]	YALE D P，MOBIL R，JAMIESON JR W H，et a1. Static and dynamic rock mechanical properties in the Hugoton and Panoma fields，Kansas[C]// Proceedings of the Mid-continent Gas Symposium. [S.1.]：[s.n.]，1994：209-219. " target="_blank">
[20]	左宇军，李夕兵，赵国彦. 受静载作用的岩石动态断裂的突变模型[J]. 煤炭学报，2004，29(6)：654-658.(ZUO Yujun，LI Xibing，ZHAO Guoyan. A catastrophe model for dynamic fracture of static loaded rock[J]. Journal of China Coal Society，2004，29(6)：654-658.(in Chinese)) " target="_blank">
[24]	金解放，李夕兵，王观石，等. 循环冲击载荷作用下砂岩破坏模式及其机制[J]. 中南大学学报：自然科学版，2012，43(4)：1 453- 1 461.(JIN Jiefang，LI Xibing，WANG Guanshi，et al. Failure modes and mechanisms of sandstone under cyclic impact loadings[J]. Journal of Central South University：Science and Technology，2012，43(4)：1 453-1 461.(in Chinese)) " target="_blank">
[31]	杨军，金乾坤，黄风雷. 岩石爆破理论模型及数值计算[M]. 北京：科学出版社，1999：26-38.(YANG Jun，JIN Qiankun，HUANG Fenglei. Theoretical model of rock blasting and numerical simulation[M]. Beijing：Science Press，1999：26-38.(in Chinese)) " target="_blank">
[32]	陆晓霞，张培源. 在围压冲击条件下岩石损伤黏塑性本构关系[J]. 重庆大学学报：自然科学版，2002，25(1)：6-9.(LU Xiaoxia，ZHANG Peiyuan. Rock damage viscoplastic constitutive relationship with compression[J]. Journal of Chongqing University：Natural Science，2002，25(1)：6-9.(in Chinese))
[35]	唐春安. 岩石破裂过程中的灾变[M]. 北京：煤炭工业出版社，1993：10-20.(TANG Chun?an. Catastrophe in rock unstable failure[M]. Beijing：China Coal Industry Publishing House，1993：10-20.(in Chinese)) " target="_blank">
[36]	LEMAITRE J，CHABOCHE J L. Mechanics of solid materials[M]. Cambridge：Cambridge University Press，1990：159-168. " target="_blank">
[39]	LI X B，ZHOU Z L，LOK T S，et al. Innovative testing technique of rocksubjected to coupled static and dynamic loads[J]. International Journal of Rock Mechanics and Mining Sciences，2008，45(5)：739-748.
[40]	LI X B，LOK T S，ZHAO J，et al. Oscillation elimination in the Hopkinson bar apparatus and resultant complete dynamic stress-strain curves for rocks[J]. International Journal of Rock Mechanics and Mining Sciences，2000，37(7)：1 055-1 060. " target="_blank">
[18]	GRADY D E，HOLLENBACH R E，SCHULER K W. Strain rate dependence in dolomite inferred from impact and static compression studies[J]. International Journal of Geophysical Research，1982，82(8)：l 325-1 333. " target="_blank">
[22]	李夕兵，左宇军，马春德. 中应变率下动静组合加载岩石的本构模型[J]. 岩石力学与工程学报，2006，25(5)：865-874.(LI Xibing，ZUO Yujun，MA Chunde. Constitutive model of rock under coupled static-dynamic loading with intermediate strain rate[J]. Chinese Journal of Rock Mechanics and Engineering，2006，25(5)：865-874.(in Chinese))
[25]	金解放，李夕兵，殷志强，等. 循环冲击下波阻抗定义岩石损伤变量的研究[J]. 岩土力学，2011，32(5)：1 385-1 393.(JIN Jiefang，LI Xibing，YIN Zhiqiang，et al. A method for defining rock damage variable by wave impedance under cyclic impact loadings[J]. Rock and Soil Mechanics，2011，32(5)：1 385-1 393.(in Chinese)) " target="_blank">
[29]	周光泉，刘孝敏. 黏弹性理论[M]. 合肥：中国科学技术大学出版社，1996：8-35.(ZHOU Guangquan，LIU Xiaomin. Viscoelascity theory[M]. Hefei：University of Science and Technology of China Press，1996：8-35.(in Chinese)) " target="_blank">
[33]	李夕兵，古德生. 岩石冲击动力学[M]. 长沙：中南工业大学出版社，1994：12.(LI Xibing，GU Desheng. Rock impact dynamics[M]. Changsha：Central South University of Technology Press，1994：12.(in Chinese)) " target="_blank">
[37]	李夕兵，周子龙，王卫华. 运用有限元和神经网络为SHPB装置构造理想冲头[J]. 岩石力学与工程学报，2005，24(23)：4 215-4 218. (LI Xibing，ZHOU Zilong，WANG Weihua. Construction of ideal striker for SHPB device based on FEM and neural network[J]. Chinese Journal of Rock Mechanics and Engineering，2005，24(23)：4 215- 4 218.(in Chinese)) " target="_blank">