基于八面体理论的岩石循环加-卸载本构模型及修正

罗吉安; 刘丰茂; 刘之喜; 马雷鸣; 陈烨开; 李欣慰; 罗吉安; 刘丰茂; 刘之喜; 马雷鸣; 陈烨开; 李欣慰

doi:10.11858/gywlxb.20190797

[1]

徐志英. 岩石力学 [M]. 北京:水利电力出版社, 1986.

XU Z Y. Rock mechanics [M]. Beijing: Water Conservancy and Electricity Press, 1986.

[2]

刘佑荣, 唐辉明. 岩体力学 [M]. 北京:中国地质大学出版社, 1999.

LIU Y R, TANG H M. Rock mass mechanics [M]. Beijing: China University of Geosciences Press, 1999.

[3]

曹文贵, 方祖烈, 唐学军. 岩石损伤软化统计本构模型之研究 [J]. 岩石力学与工程学报, 1998, 17(6): 628–633. doi: 10.3321/j.issn:1000-6915.1998.06.004

CAO W G, FANG Z L, TANG X J. A study of statistical constitutive model for soft and damage rocks [J]. Journal of Rock Mechanics and Engineering, 1998, 17(6): 628–633. doi: 10.3321/j.issn:1000-6915.1998.06.004

[4]

曹文贵, 赵明华, 唐学军. 岩石破裂过程的统计损伤模拟研究 [J]. 岩土工程学报, 2003, 25(2): 184–187. doi: 10.3321/j.issn:1000-4548.2003.02.013

CAO W G, ZHAO M H, TANG X J. Study on simulation of statistical damage in the full process of rock failure [J]. Journal of Geotechnical Engineering, 2003, 25(2): 184–187. doi: 10.3321/j.issn:1000-4548.2003.02.013

[5]

曹文贵, 张升. 基于Mohr-Coulomb 准则的岩石损伤统计分析方法研究 [J]. 湖南大学学报(自然科学版), 2005, 32(1): 43–47.

CAO W G, ZHANG S. Statistical analysis of rock damage based on Mohr-Coulomb criterion [J]. Journal of Hunan University (Natural Science Edition), 2005, 32(1): 43–47.

[6]

袁小平, 刘红岩, 王志乔. 基于 Drucker-Prager 准则的岩石弹塑性损伤本构模型研究 [J]. 岩土力学, 2012, 33(4): 1103–1108. doi: 10.3969/j.issn.1000-7598.2012.04.021

YUAN X P, LIU H Y, WANG Z Q. Study of elastoplastic damage constitutive model of rocks based on Drucker-Prager criterion [J]. Geotechnical Mechanics, 2012, 33(4): 1103–1108. doi: 10.3969/j.issn.1000-7598.2012.04.021

[7]

李西蒙, 刘长友, 鲁岩, 等. 单轴分级循环加载条件下砂岩疲劳变形特性与损伤模型研究 [J]. 中国矿业大学学报, 2017, 46(1): 8–17.

LI X M, LIU C Y, LU Y, et al. Fatigue deformation characteristics and damage model of sandstone subjected to uniaxial step cyclic loading [J]. Journal of China University of Mining and Technology, 2017, 46(1): 8–17.

[8]

王者超, 赵建纲, 李术才, 等. 循环荷载作用下花岗岩疲劳力学性质及其本构模型 [J]. 岩石力学与工程学报, 2012, 31(9): 1888–1900. doi: 10.3969/j.issn.1000-6915.2012.09.021

WANG Z C, ZHAO J G, LI S C, et al. Fatigue mechanical behavior of granite subjected to cyclic load and its constitutive model [J]. Journal of Rock Mechanics and Engineering, 2012, 31(9): 1888–1900. doi: 10.3969/j.issn.1000-6915.2012.09.021

[9]

何明明, 陈蕴生, 李宁, 等. 单轴循环荷载作用下砂岩变形特性与能量特征 [J]. 煤炭学报, 2015, 40(8): 1805–1812.

HE M M, CHEN Y S, LI N, et al. Deformation and energy characteristics of sandstone subjected to uniaxial cyclic loading [J]. Journal of Coal Mine, 2015, 40(8): 1805–1812.

[10]

张平阳, 夏才初, 周舒威, 等. 循环加-卸载岩石本构模型研究 [J]. 岩土力学, 2015, 12(36): 3354–3359.

ZHANG P Y, XIA C C, ZHOU S W, et al. A constitutive model for rock under cyclic loading and unloading [J]. Geotechnical Mechanics, 2015, 12(36): 3354–3359.

[11]

夏才初, 张平阳, 周舒威, 等. 大规模压气储能洞室稳定性和洞周应变分析 [J]. 岩土力学, 2014, 35(5): 1391–1398.

XIA C C, ZHANG P Y, ZHOU S W, et al. Stability and tangential strain analysis of large-scale compressed air energy storage cavern [J]. Geotechnical Mechanics, 2014, 35(5): 1391–1398.

[12]

徐卫亚, 韦立德. 岩石损伤统计本构模型的研究 [J]. 岩石力学与工程学报, 2002, 21(6): 787–791. doi: 10.3321/j.issn:1000-6915.2002.06.006

XU W Y, WEI L D. Study on statistical damage constitutive model of rock [J]. Journal of Rock Mechanics and Engineering, 2002, 21(6): 787–791. doi: 10.3321/j.issn:1000-6915.2002.06.006

[13]

章清叙, 葛修润, 黄铭, 等. 周期荷载作用下红砂岩三轴疲劳变形特性试验研究 [J]. 岩石力学与工程学报, 2006, 25(3): 473–478. doi: 10.3321/j.issn:1000-6915.2006.03.006

ZHANG Q X, GE X R, HUANG M, et al. Testing study on fatigue deformation law of ren-sandstone under triaxial compression with cyclic loading [J]. Journal of Rock Mechanics and Engineering, 2006, 25(3): 473–478. doi: 10.3321/j.issn:1000-6915.2006.03.006

[14]

葛修润, 卢应发. 循环荷载作用下岩石疲劳破坏和不可逆变形问题的探讨 [J]. 岩土工程学报, 1992, 14(3): 56–60. doi: 10.3321/j.issn:1000-4548.1992.03.007

GE X R, LU Y F. Discussion on fatigue failure and irreversible deformation of rock under cyclic loading [J]. Journal of Geotechnical Engineering, 1992, 14(3): 56–60. doi: 10.3321/j.issn:1000-4548.1992.03.007

[15]

葛修润, 蒋宇, 卢允德, 等. 周期荷载作用下岩石疲劳变形特性试验研究 [J]. 岩石力学与工程学报, 2003, 22(10): 1581–1585. doi: 10.3321/j.issn:1000-6915.2003.10.001

GE X R, JIANG Y, LU Y D, et al. Testing study on fatigue deformation law of rock under cyclic loading [J]. Journal of Rock Mechanics and Engineering, 2003, 22(10): 1581–1585. doi: 10.3321/j.issn:1000-6915.2003.10.001

[16]

刘树新, 刘长武, 韩小刚, 等. 基于损伤多重分形特征的岩石强度Weibull 参数研究 [J]. 岩土工程学报, 2011, 33(11): 1786–1791.

LIU S X, LIU C W, HAN X G, et al. Weibull distribution parameters of rock strength based on multi-fractal characteristics of rock damage [J]. Journal of Geotechnical Engineering, 2011, 33(11): 1786–1791.

[1]	徐志英. 岩石力学 [M]. 北京:水利电力出版社, 1986. XU Z Y. Rock mechanics [M]. Beijing: Water Conservancy and Electricity Press, 1986.
[2]	刘佑荣, 唐辉明. 岩体力学 [M]. 北京:中国地质大学出版社, 1999. LIU Y R, TANG H M. Rock mass mechanics [M]. Beijing: China University of Geosciences Press, 1999.
[3]	曹文贵, 方祖烈, 唐学军. 岩石损伤软化统计本构模型之研究 [J]. 岩石力学与工程学报, 1998, 17(6): 628–633. doi: 10.3321/j.issn:1000-6915.1998.06.004 CAO W G, FANG Z L, TANG X J. A study of statistical constitutive model for soft and damage rocks [J]. Journal of Rock Mechanics and Engineering, 1998, 17(6): 628–633. doi: 10.3321/j.issn:1000-6915.1998.06.004
[4]	曹文贵, 赵明华, 唐学军. 岩石破裂过程的统计损伤模拟研究 [J]. 岩土工程学报, 2003, 25(2): 184–187. doi: 10.3321/j.issn:1000-4548.2003.02.013 CAO W G, ZHAO M H, TANG X J. Study on simulation of statistical damage in the full process of rock failure [J]. Journal of Geotechnical Engineering, 2003, 25(2): 184–187. doi: 10.3321/j.issn:1000-4548.2003.02.013
[5]	曹文贵, 张升. 基于Mohr-Coulomb 准则的岩石损伤统计分析方法研究 [J]. 湖南大学学报(自然科学版), 2005, 32(1): 43–47. CAO W G, ZHANG S. Statistical analysis of rock damage based on Mohr-Coulomb criterion [J]. Journal of Hunan University (Natural Science Edition), 2005, 32(1): 43–47.
[6]	袁小平, 刘红岩, 王志乔. 基于 Drucker-Prager 准则的岩石弹塑性损伤本构模型研究 [J]. 岩土力学, 2012, 33(4): 1103–1108. doi: 10.3969/j.issn.1000-7598.2012.04.021 YUAN X P, LIU H Y, WANG Z Q. Study of elastoplastic damage constitutive model of rocks based on Drucker-Prager criterion [J]. Geotechnical Mechanics, 2012, 33(4): 1103–1108. doi: 10.3969/j.issn.1000-7598.2012.04.021
[7]	李西蒙, 刘长友, 鲁岩, 等. 单轴分级循环加载条件下砂岩疲劳变形特性与损伤模型研究 [J]. 中国矿业大学学报, 2017, 46(1): 8–17. LI X M, LIU C Y, LU Y, et al. Fatigue deformation characteristics and damage model of sandstone subjected to uniaxial step cyclic loading [J]. Journal of China University of Mining and Technology, 2017, 46(1): 8–17.
[8]	王者超, 赵建纲, 李术才, 等. 循环荷载作用下花岗岩疲劳力学性质及其本构模型 [J]. 岩石力学与工程学报, 2012, 31(9): 1888–1900. doi: 10.3969/j.issn.1000-6915.2012.09.021 WANG Z C, ZHAO J G, LI S C, et al. Fatigue mechanical behavior of granite subjected to cyclic load and its constitutive model [J]. Journal of Rock Mechanics and Engineering, 2012, 31(9): 1888–1900. doi: 10.3969/j.issn.1000-6915.2012.09.021
[9]	何明明, 陈蕴生, 李宁, 等. 单轴循环荷载作用下砂岩变形特性与能量特征 [J]. 煤炭学报, 2015, 40(8): 1805–1812. HE M M, CHEN Y S, LI N, et al. Deformation and energy characteristics of sandstone subjected to uniaxial cyclic loading [J]. Journal of Coal Mine, 2015, 40(8): 1805–1812.
[10]	张平阳, 夏才初, 周舒威, 等. 循环加-卸载岩石本构模型研究 [J]. 岩土力学, 2015, 12(36): 3354–3359. ZHANG P Y, XIA C C, ZHOU S W, et al. A constitutive model for rock under cyclic loading and unloading [J]. Geotechnical Mechanics, 2015, 12(36): 3354–3359.
[11]	夏才初, 张平阳, 周舒威, 等. 大规模压气储能洞室稳定性和洞周应变分析 [J]. 岩土力学, 2014, 35(5): 1391–1398. XIA C C, ZHANG P Y, ZHOU S W, et al. Stability and tangential strain analysis of large-scale compressed air energy storage cavern [J]. Geotechnical Mechanics, 2014, 35(5): 1391–1398.
[12]	徐卫亚, 韦立德. 岩石损伤统计本构模型的研究 [J]. 岩石力学与工程学报, 2002, 21(6): 787–791. doi: 10.3321/j.issn:1000-6915.2002.06.006 XU W Y, WEI L D. Study on statistical damage constitutive model of rock [J]. Journal of Rock Mechanics and Engineering, 2002, 21(6): 787–791. doi: 10.3321/j.issn:1000-6915.2002.06.006
[13]	章清叙, 葛修润, 黄铭, 等. 周期荷载作用下红砂岩三轴疲劳变形特性试验研究 [J]. 岩石力学与工程学报, 2006, 25(3): 473–478. doi: 10.3321/j.issn:1000-6915.2006.03.006 ZHANG Q X, GE X R, HUANG M, et al. Testing study on fatigue deformation law of ren-sandstone under triaxial compression with cyclic loading [J]. Journal of Rock Mechanics and Engineering, 2006, 25(3): 473–478. doi: 10.3321/j.issn:1000-6915.2006.03.006
[14]	葛修润, 卢应发. 循环荷载作用下岩石疲劳破坏和不可逆变形问题的探讨 [J]. 岩土工程学报, 1992, 14(3): 56–60. doi: 10.3321/j.issn:1000-4548.1992.03.007 GE X R, LU Y F. Discussion on fatigue failure and irreversible deformation of rock under cyclic loading [J]. Journal of Geotechnical Engineering, 1992, 14(3): 56–60. doi: 10.3321/j.issn:1000-4548.1992.03.007
[15]	葛修润, 蒋宇, 卢允德, 等. 周期荷载作用下岩石疲劳变形特性试验研究 [J]. 岩石力学与工程学报, 2003, 22(10): 1581–1585. doi: 10.3321/j.issn:1000-6915.2003.10.001 GE X R, JIANG Y, LU Y D, et al. Testing study on fatigue deformation law of rock under cyclic loading [J]. Journal of Rock Mechanics and Engineering, 2003, 22(10): 1581–1585. doi: 10.3321/j.issn:1000-6915.2003.10.001
[16]	刘树新, 刘长武, 韩小刚, 等. 基于损伤多重分形特征的岩石强度Weibull 参数研究 [J]. 岩土工程学报, 2011, 33(11): 1786–1791. LIU S X, LIU C W, HAN X G, et al. Weibull distribution parameters of rock strength based on multi-fractal characteristics of rock damage [J]. Journal of Geotechnical Engineering, 2011, 33(11): 1786–1791.