基于率效应的岩石材料次加载面动态模型在岩体工程中的初步应用

doi:10.13722/j.cnki.jrme.2017.0383

摘要
图/表
参考文献
相关文章 (15)

全文: PDF (804 KB) HTML (1 KB)
输出: BibTeX | EndNote (RIS)

摘要为较准确反映岩体工程在地震荷载下的响应，结合Drucker-Prager屈服准则和次加载面理论，初步构建基于Drucker-Prager准则的次加载面应力路径模型，在此基础上，除计算弹性模量的率效应之外，还在Drucker-Prager准则上考虑强度的率效应，提出岩石材料的动态模型，并把该模型运用到滇中引水香炉山隧洞中。计算结果表明，相对于Drucker-Prager准则，应力路径模型能较好地描述玄武岩在循环荷载下体现的曼辛效应和棘轮效应，由于没有考虑率效应，表现出应力–应变曲线的斜率没有试验曲线大，且累计应变也比试验曲线大；在岩石循环加卸载过程中，动态模型得出的模量上比次加载面应力路径模型模拟的要大，同时变形量也较次加载面应力路径模型要小，因此该模型能较好地反映岩石的动态力学性质和变形性质；相比于Drucker-Prager准则下，采用动态模型得出隧洞的左侧监测点和右侧监测点的瞬时相对变形峰值增大了0.67 cm，同样底部和顶部以及左右两侧的永久相对变形也分别增大了0.19和0.77 cm，说明动态模型可以较好地反映围岩残余大变形；岩石动态模型相对于Drucker-Prager准则和线弹性本构，更具有滤掉高频的功能。说明该模型能很好地运用到岩石动力学中，同时也为准确分析岩体工程在地震作用下的响应奠定了一个很好的基础。

	服务

	把本文推荐给朋友
	加入我的书架
	加入引用管理器
	E-mail Alert
	RSS
	作者相关文章
	周永强1
	盛谦1
	冷先伦1
	朱泽奇1
	付晓东1
	李娜娜2

关键词 ：岩石力学, 次加载面, Drucker-Prager准则, 率效应, 动态模型, 岩体工程

Abstract：A stress path model with the subloading surface based on the Drucker-Prager yield criterion and the subloading surface theory was established to reflect accurately the response of rock under the action of earthquake. A dynamic constitutive model of rock material was proposed considering the rate effect of elastic modulus and strength. The proposed model was applied to the Xianglushan tunnel. The results show that the stress path model describes the Masing effect and the ratchet effect of basalt better than Drucker-Prager criterion under cyclic loading. When the rate effect is not taken into account，the slope of the stress-strain curve is smaller than that of test curve and the cumulative strain is larger than that of test curve. In the process of cyclic loading and unloading，the dynamic modulus obtained with the dynamic model is larger than that from the stress path model with subloading surface and the deformation obtained with the dynamic model is smaller than that from the stress path model with subloading surface. Therefore，the proposed model reflected well the dynamic mechanical properties and deformation properties of the rock. In comparison with the results from Drucker-Prager criterion， the instantaneous relative peak deformation between the left and right monitoring points of the tunnel from the dynamic model increased 0.67 cm，and the permanent relative deformation between the bottom and top monitoring points and between the left and right monitoring points are increased 0.19 cm and 0.77 cm respectively. This indicates that the dynamic model reflected better the large deformation of the surrounding rock. The dynamic model of rocks is more effective in filtering the high frequency than Drucker-Prager criterion and linear elastic constitutive.

Key words： rock mechanics subloading surface Drucker-Prager criterion rate effect dynamic model rock mass engineering

引用本文:

周永强1，盛谦1，冷先伦1，朱泽奇1，付晓东1，李娜娜2. 基于率效应的岩石材料次加载面动态模型在岩体工程中的初步应用[J]. 岩石力学与工程学报, 2017, 36(10): 2503-2513.
ZHOU Yongqiang1，SHENG Qian1，LENG Xianlun1，ZHU Zeqi1，FU Xiaodong1，LI Nana2. #br# Preliminary application of dynamic constitutive model with subloading surface for rock materials considering rate effect in rock engineering. , 2017, 36(10): 2503-2513.

链接本文:

https://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2017.0383 或 https://rockmech.whrsm.ac.cn/CN/Y2017/V36/I10/2503

[1]	宫凤强，陆道辉，李夕兵，等. 不同应变率下砂岩动态强度准则的试验研究[J]. 岩土力学，2013，34(9)：2 433-2 441.(GONG Fengqiang，LU Daohui，LI Xibing，et al. Experimental research of sandstone dynamic strength criterion under different strain rates[J]. Rock and Soil Mechanics，2013，34(9)：2 433-2 441.(in Chinese))
[2]	李海波，王建伟，李俊如，等. 单轴压缩下软岩的动态力学特性试验研究[J]. 岩土力学，2004，25(1)：1-4.(LI Haibo，WANG Jianwei，LI Junru，et al. Mechanical properties of soft rock under dynamic uniaxial compression[J]. Rock and Soil Mechanics，2004，25(1)：1-4.(in Chinese))
[3]	梁昌玉，李晓，李守定，等. 岩石静态和准动态加载应变率的界限值研究[J]. 岩石力学与工程学报，2012，31(6)：1 156-1 161. (LIANG Changyu，LI Xiao，LI Shouding，et al. Study of strain rates threshold value between static loading and quasi-dynamic loading of rock[J]. Chinese Journal of Rock Mechanics and Engineering，2012，31(6)：1 156-1 161.(in Chinese))
[4]	钱七虎，戚承志. 岩石、岩体的动力强度与动力破坏准则[J]. 同济大学学报：自然科学版，2008，36(12)：1 599-1 605.(QIAN Qihu，QI Chengzhi. Dynamic strength and dynamic fracture criteria of rock and rock mass[J]. Journal of Tongji University：Natural Science，2008，36(12)：1 599-1 605.(in Chinese))
[5]	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 Abstracts，1974，11(2)：181-191. " target="_blank">
[6]	PERZYNA P. Fundamental problems in visco-plasticity[J]. Advances in Applied Mechanics，1966，(9)：243-377. " target="_blank">
[7]	WANG Z L，LI Y C，WANG J G. A damage softening statistical constitutive model considering rock residual strength[J]. Computers and Geosciences，2007，33(1)：1-9.
[8]	戴俊. 岩石动力学特性与爆破理论[M]. 2版. 北京：冶金工业出版社，2014：56-60.(DAI Jun. Dynamic behaviors and blasting theory of rock[M]. 2nd ed. Beijing：Metallurgical Industry Press，2014：56-60.(in Chinese)) " target="_blank">
[9]	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 model of rock under dynamic loading[J]. Chinese Journal of Rock Mechanics and Engineering，2003，22(11)：1 771-1 776.(in Chinese))
[10]	刘恩龙，张建海，何思明，等. 循环荷载作用下岩石的二元介质模型[J]. 重庆理工大学学报：自然科学，2013，27(9)：6-11.(LIU Anlong，ZHANG Jianhai，HE Siming，et al. Binary medium model of rock subjected to cyclic loading[J]. Journal of Chongqing University of Technology：Natural Science，2013，27(9)：6-11.(in Chinese))
[11]	莫海鸿. 岩石的循环试验及本构关系的研究[J]. 岩石力学与工程学报，1988，7(3)：215-224.(MO Haihong. Investigation of cyclic loading tests and constitutive relation of rock[J]. Chinese Journal of Rock Mechanics and Engineering，1988，7(3)：215-224.(in Chinese))
[12]	HASHIGUCHI K. Generalized plastic flow rule[J]. International Journal of Plasticity，2005，21(2)：321-351. " target="_blank">
[13]	孔亮，花丽坤，王燕昌. 次加载面理论及其在土体循环塑性模型中的应用[J]. 宁夏大学学报：自然科学版，2003，24(1)：50-56.(KONG Liang，HUA Likun，WANG Yanchang. The subloading surface theory and its application to the cyclic plastic model for soil[J]. Journal of Ningxia University：Natural Science，2003，24(1)：50-56.(in Chinese))
[14]	伍大鹏. 混凝土在循环荷载作用下的次加载面应力路径模型[硕士学位论文][D]. 北京交通大学，2012.(WU Dapeng. The sub-loading surface model of concrete under cyclic loading[M. S. Thesis][D]. Beijing：Beijing Jiaotong University，2012.(in Chinese)) " target="_blank">
[15]	FU Y K，IWATA M K，DING W Q，et，al. An elastoplastic model for soft sedimentary rock considering inherent anisotropy and confining-stress dependency[J]. Soil and Foundations，2012，52(4)：575-589. " target="_blank">
[16]	周永强，盛谦，冷先伦，等. 基于循环加卸载的次加载面模型在岩石中的初步应用[J]. 岩石力学与工程学报，2015，34(10)：2 073-2 082.(ZHOU Yongqiang，SHENG Qian，LENG Xianlun，et al. Preliminary application of subloading surface to cyclic plastic model for rock under cyclic loading[J]. Chinese Journal of Rock Mechanics and Engineering，2015，34(10)：2 073-2 082.(in Chinese))
[17]	郑颖人，沈珠江，龚晓南. 广义塑性力学——岩土塑性力学原理[M]. 北京：中国建筑工业出版社，2011：63-91.(ZHENG Yingren，SHEN Zhujiang，GONG Xiaonan. The generalized plastic mechanics- geotechnical plastic mechanics principle[M]. Beijing：China Building Industry Press，2011：63-91.(in Chinese)) " target="_blank">
[18]	白冰，李小春，石露，等. 基于虚强度参数的塑性硬化模式[J]. 长江科学院院报，2012，29(8)：24-28.(BAI Bing，LI Xiaochun，SHI Lu，et al. A plastic hardening mode based on virtual strength parameters[J]. Journal of Yangtze River Scientific Research Institute，2012，29(8)：24-28.(in Chinese))
[19]	张玉敏. 大型地下洞室群地震响应特征研究[博士学位论文][D]. 北京：中国科学院研究生院，2010.(ZHANG Yumin. Study on response characteristics of large underground cavern group under earthquake[Ph. D. Thesis][D]. Beijing：Graduate School of the Chinese Academy of Sciences，2010.(in Chinese)) " target="_blank">
[20]	赵坚，李海波. 莫尔-库仑和霍克-布朗强度准则用于评估脆性岩石动态强度的适用性[J]. 岩石力学与工程学报，2003，22(2)：171-176.(ZHAO Jian，LI Haibo. Estimating the dynamic strength of rock using Mohr-coulomb and Hoek-brown criteria[J]. Chinese Journal of Rock Mechanics and Engineering，2003，22(2)：171-176.(in Chinese))
[21]	戚承志，钱七虎. 岩石等脆性材料动力强度依赖应变率的物理机制[J]. 岩石力学与工程学报，2003，22(2)：177-181.(QI Chengzhi，QIAN Qihu. Physical mechanism of dependence of material strength on strain rate for rock-like material[J]. Chinese Journal of Rock Mechanics and Engineering，2003，22(2)：177-181.(in Chinese))
[22]	宋玉普. 混凝土的动力本构关系和破坏准则[M]. 北京：科学出版社，2013：9-37.(SONG Yupu. Dynamic constitutive relation and failure criterion of concrete[M]. Beijing：Science Press，2013：9-37.(in Chinese)) " target="_blank">
[23]	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))
[24]	JOHNSON G R，COOK W H. A constitutive model and data for metals subjected to large strain，high strain rates and high temperatures[C]// Proceedings of the 7th IntSymp Ballistics，Am Def Pre Org(ADPA). The Hague，Netherlands：[s.n.]，1983：541-547. " target="_blank">
[25]	崔臻. 大型地下洞室群地震响应分析及动力稳定性问题研究[博士学位论文][D]. 北京：中国科学院大学，2013.(CUI Zhen. Seismic response and stability of underground cavern complex[Ph. D. Thesis][D]. Beijing：University of Chinese Academy of Sciences，2013.(in Chinese)) " target="_blank">