基于Cosserat理论的柱状节理岩体各向异性本构模型研究

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摘要针对白鹤滩柱状节理岩体的各向异性力学特性，引入三棱柱和四棱柱概化模型，采用Cosserat理论和Goodman当量叠加原理，基于一组节理岩体的微观介质体，得到其Cosserat扩展介质本构关系；然后将其用节理法向刚度和切向刚度简化处理，并叠加到空间三维Cosserat介质本构关系中，建立宏观意义上的四棱柱和三棱柱柱状节理本构模型；最后基于FLAC3D，将Cosserat各向异性本构模型用于白鹤滩柱状节理岩层隧道开挖数值模拟中，并对比分析各向同性和各向异性条件下围岩开挖各阶段应力–应变的差异及对工程的影响。相比各向同性本构模型，Cosserat各向异性本构模型3个方向上的应力相差较大，更能反映工程实际，对工程优化设计有着重要的意义。

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关键词 ：岩石力学, 各向异性, 柱状节理岩体, Cosserat各向异性本构模型, Goodman当量叠加原理

Abstract：According to anisotropic mechanical properties of Baihetan columnar jointed rock masses，triangular and quadrangular prism generalized models were introduced. Based on microscopic media of a group of jointed rock masses，Cosserat extended constitutive equation was obtained by using Cosserat theory and Goodman equivalent superposition principle. Triangular and quadrangular prism columnar jointed constitutive models were established. At last，by using FLAC3D，Cosserat anisotropic constitutive model was applied to tunnel excavation numerical simulation of Baihetan columnar jointed rock masses. Variations in stresses and strains at different excavation stages and influences on engineering were comparative analyzed under isotropic and anisotropic conditions. Comparing with isotropic constitutive model，stresses in three directions of Cosserat anisotropic constitutive model have larger differences；it can reflect engineering reality better；and it is more important for design optimization of engineering.

Key words： rock mechanics anisotropy columnar jointed rock masses Cosserat anisotropic constitutive model Goodman equivalent superposition principle

引用本文:

朱珍德1，2，秦天昊2，王士宏3，王连国4，孙林柱1. 基于Cosserat理论的柱状节理岩体各向异性本构模型研究[J]. 岩石力学与工程学报, 2010, 29(S2): 4068-4076.
ZHU Zhende1，2，QIN Tianhao2，WANG Shihong3，WANG Lianguo4，SUN Linzhu1. Study oF anisotropic constitutive model of columnar jointed rock massES based on Cosserat theory. , 2010, 29(S2): 4068-4076.

链接本文:

https://rockmech.whrsm.ac.cn/CN/Y2010/V29/IS2/4068

[1] 孟国涛. 柱状节理岩体各向异性力学分析及其工程应用[博士学位论文][D]. 南京：河海大学，2007.(MENG Guotao. Anisotropy mechanism analysis and its application to columnar jointed rock mass[Ph. D. Thesis][D]. Nanjing：Hohai University，2007.(in Chinese))

[2] 郑文棠. 不规则柱状节理岩体岩石力学及在高边坡坝基岩石工程中的应用[博士学位论文][D]. 南京：河海大学，2008.(ZHENG Wentang. Rock mechanics of irregular columnar jointed rock mass and its application to high slope dam foundation[Ph. D. Thesis][D]. Nanjing：Hohai University，2008.(in Chinese))

[3] 宁宇. 柱状节理岩体等效强度与屈服准则研究及其在工程中的应用[博士学位论文][D]. 南京：河海大学，2009.(NING Yu. Equivalent strength and yield criterion of columnar jointed rock mass and its application in engineering[Ph. D. Thesis][D]. Nanjing：Hohai University，2009.(in Chinese))

[4] 刘俊，黄铭，葛修润. Cosserat介质理论针对节理岩体的应用[J]. 岩土力学，2004，25(增2)：27–31.(LIU Jun，HUANG Ming，GE Xiurun. Cosserat theory and its application to jointed rock masses[J]. Rock and Soil Mechanics，2004，25(Supp.2)：27–31.(in Chinese))

[5] 佘成学，熊文林，陈胜宏. 具有弯曲效应的层状结构岩体变形的Cosserat介质分析方法[J]. 岩土力学，1994，15(4)：12–19.(SHE Chengxue，XIONG Wenlin，CHEN Shenghong. Cosserat medium analysis of deformation of layered rock mass with bending effects[J]. Rock and Soil Mechanics，1994，15(4)：12–19.(in Chinese))

[6] 刘俊，黄铭，葛修润. 层状岩体开挖的空间弹性偶应力理论分析[J]. 岩石力学与工程学报，2000，19(3)：276–280.(LIU Jun，HUANG Ming，GE Xiurun. Analysis of layered rock mass excavating with spatial elastic couple stress theory[J]. Chinese Journal of Rock Mechanics and Engineering，2000，19(3)：276–280.(in Chinese))

[7] GOODMAN R E，SMITH H R. RQD and fracture spacing[J]. Journal of Geotechnical Engineering Division，1980，106(2)：191–193.

[8] 杨春和，李银平. 互层盐岩体的Cosserat介质扩展本构模型[J]. 岩石力学与工程学报，2005，24(23)：4 226–4 232.(YANG Chunhe，LI Yinping. Expanded Cosserat medium constitutive model for laminated salt rock[J]. Chinese Journal of Rock Mechanics and Engineering，2005，24(23)：4 226–4 232.(in Chinese))

[9] 刘俊，陈胜宏. 节理岩体三维偶应力弹性理论[J]. 岩土力学，1995，16(4)：20–29.(LIU Jun，CHEN Shenghong. Three-dimensional elastic couple-stress theory of jointed rock masses[J]. Rock and Soil Mechanics，1995，16(4)：20–29.(in Chinese))

[10] 佘成学，罗继铣，张玉珍. 层状岩体的Cosserat介质理论中第二剪切模量G^c的研究[J]. 岩土力学，1996，17(4)：62–69.(SHE Chengxue，LUO Jixian，ZHANG Yuzhen. The research on the second shear modulus G^c in Cosserat medium theory of layered rock mass[J]. 1996，17(4)：62–69.(in Chinese))

[11] 陈育民，徐鼎平. FLAC/FLAC^3D基础与工程实例[M]. 北京：中国水利水电出版社，2009.(CHEN Yuming，XU Dingping. The foundations and projects of FLAC/FLAC^3D[M]. Beijing：China Water Power Press，2009.(in Chinese))

[12] 秦天昊. 白鹤滩柱状节理岩体各向异性力学分析及数值模拟[博士学位论文][D]. 南京：河海大学，2010.(QIN Tianhao. Anisotropic mechanical characteristics and numerical simulation of columnar jointed rock mass in Baihetan hydropower engineering[Ph. D. Thesis][D]. Nanjing：Hohai University，2010.(in Chinese))