分级循环加卸载作用下脆性岩石损伤特性分析
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摘要
以砂岩为研究对象,通过分级循环加卸载试验研究脆性岩石在分级循环加卸载作用下的损伤特性和演化规律。基于试验结果,定义了损伤值,推导出适用于加载阶段和卸载阶段的损伤本构模型。研究结果表明:提出的循环加卸载下的岩石损伤本构方程与试验应力应变曲线拟合度比较高,证明了其合理性和适用性。该损伤本构模型和定义的损伤值可以正确地反映出岩石的损伤演化过程,能够描述岩石破坏的各个阶段。参数敏感性对本构模型有不同程度的影响。
Taking sandstone as the research object, the damage characteristics and evolution laws of brittle rocks under graded cyclic loading and unloading are studied through graded cyclic loading and unloading tests. Based on the test results, the damage values are defined and the damage constitutive models for loading and unloading stages are derived. The results show that the proposed constitutive equation of rock damage under cyclic loading and unloading has a high fitting degree with the experimental stress-strain curve, which proves its rationality and applicability. The damage constitutive model and the defined damage value can correctly reflect the damage evolution process of rock and describe each stage of rock failure. The sensitivity of parameters has different effects on the constitutive model.
Taking sandstone as the research object, the damage characteristics and evolution laws of brittle rocks under graded cyclic loading and unloading are studied through graded cyclic loading and unloading tests. Based on the test results, the damage values are defined and the damage constitutive models for loading and unloading stages are derived. The results show that the proposed constitutive equation of rock damage under cyclic loading and unloading has a high fitting degree with the experimental stress-strain curve, which proves its rationality and applicability. The damage constitutive model and the defined damage value can correctly reflect the damage evolution process of rock and describe each stage of rock failure. The sensitivity of parameters has different effects on the constitutive model.
引文
[1]卢高明,李元辉,张希巍,等.脆性岩石循环加卸载试验及应变损伤参数分析[J].金属矿山,2015,28(5):28-29.
[2]谢和平.岩石、混凝土损伤力学[M].徐州:中国矿业大学出版社,1990:134-136.
[3]席道瑛,刘小燕,张程远.由宏观滞回曲线分析岩石的微细观损伤[J].岩石力学与工程学报,2003,22(2):182-187.
[4]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,2015,36(12):3355-3356.
[5] E BERHARD T E.Brittle rock fracture and progressive damage in uniaxial compression[D]. Saskatoo:University of Saskatchewan, 1998:105-108.
[6] E BERHARD T E,STEADD, STIMPSONB. Quantifying progressive pre-peak brittle fracture damage in rock during uniaxial compression[J]. International Journal of Rock Mechanics and Mining Sciences, 1999, 36(3):361-380.
[7] E BERHARD T E, STEAD, STIMPSONB, et al. Identifying crack initiation and propagation thresholds in brittle rock[J]. Canadian Geotechnical Journal, 1998, 35(2):222-233.
[8]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.
[9]谢红强,何江达,徐进.岩石加卸载变形特性及力学参数试验研究[J].岩土工程学报,2003,25(3):336.
[10]蔡美峰.岩石力学与工程[M].北京:科学出版社,2002:57.
[11]邓绪彪,魏思民,宋晓焱,等.岩石类材料摩擦局部化损伤本构关系研究[J].中国矿业大学学报,2013,42(3):471-476.
[12]张珂,刘帅,魏春雨,等.岩石在不同应力条件下的本构模型与损伤演化[J].沈阳建筑大学学报(自然科学版),2016,32(5):898-899.
[13]赵怡晴,刘红岩,吕淑然,等.基于宏观和细观缺陷耦合的节理岩体损伤本构模型[J].中南大学学报(自然科学版),2015,46(4):1490-1491.
[14]余寿文,冯西桥.损伤力学[M].北京:清华大学出版社,1997:86-88.
[15]唐欣微,周元德.Weibull分布模型的岩石单轴压缩变形破裂规律研究[J].岩石力学与工程学报,2014,33(1):2802-2807.
[2]谢和平.岩石、混凝土损伤力学[M].徐州:中国矿业大学出版社,1990:134-136.
[3]席道瑛,刘小燕,张程远.由宏观滞回曲线分析岩石的微细观损伤[J].岩石力学与工程学报,2003,22(2):182-187.
[4]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,2015,36(12):3355-3356.
[5] E BERHARD T E.Brittle rock fracture and progressive damage in uniaxial compression[D]. Saskatoo:University of Saskatchewan, 1998:105-108.
[6] E BERHARD T E,STEADD, STIMPSONB. Quantifying progressive pre-peak brittle fracture damage in rock during uniaxial compression[J]. International Journal of Rock Mechanics and Mining Sciences, 1999, 36(3):361-380.
[7] E BERHARD T E, STEAD, STIMPSONB, et al. Identifying crack initiation and propagation thresholds in brittle rock[J]. Canadian Geotechnical Journal, 1998, 35(2):222-233.
[8]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.
[9]谢红强,何江达,徐进.岩石加卸载变形特性及力学参数试验研究[J].岩土工程学报,2003,25(3):336.
[10]蔡美峰.岩石力学与工程[M].北京:科学出版社,2002:57.
[11]邓绪彪,魏思民,宋晓焱,等.岩石类材料摩擦局部化损伤本构关系研究[J].中国矿业大学学报,2013,42(3):471-476.
[12]张珂,刘帅,魏春雨,等.岩石在不同应力条件下的本构模型与损伤演化[J].沈阳建筑大学学报(自然科学版),2016,32(5):898-899.
[13]赵怡晴,刘红岩,吕淑然,等.基于宏观和细观缺陷耦合的节理岩体损伤本构模型[J].中南大学学报(自然科学版),2015,46(4):1490-1491.
[14]余寿文,冯西桥.损伤力学[M].北京:清华大学出版社,1997:86-88.
[15]唐欣微,周元德.Weibull分布模型的岩石单轴压缩变形破裂规律研究[J].岩石力学与工程学报,2014,33(1):2802-2807.