基于Mohr准则的岩石损伤本构模型及其修正研究
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摘要
基于Mohr准则,重新定义了岩石微元强度。考虑岩石微元强度服从随机分布的特点,结合损伤力学理论和统计强度理论,建立了三轴压缩条件下岩石损伤本构模型。为使建立的模型更具一般性,分析了模型参数与围压的关系,并据此对模型参数进行合理修正,从而建立出完整的岩石损伤本构模型。与试验结果比较,所建模型可以灵活地模拟各级围压下岩石破裂过程的全应力应变关系,尤其是应变软化特性。同时,该模型形式简单,应用方便,接近工程实际。
Based on Mohr criterion,the rock micro-unit strength is redefined.Considering the characteristic that the strength of rock micro-unit is of stochastic distribution,using damage mechanics theory and the statistical strength theory,a damage constitutive model is established under rock triaxial compression test.To form a more general damage constitutive model,the relationship between model parameters and confining pressure is discussed and from which the model parameters are modified.Accordingly,a complete damage constitutive model is established.Contrast with triaxial compression test results,this model can well simulate the relation of stress-strain during the full process of rock failure under the various levels of confining pressure,especially the characteristic of strain softening.Besides,this model is simple and convenient to apply,capable of having properties approaching the actual situation of engineering projects.
Based on Mohr criterion,the rock micro-unit strength is redefined.Considering the characteristic that the strength of rock micro-unit is of stochastic distribution,using damage mechanics theory and the statistical strength theory,a damage constitutive model is established under rock triaxial compression test.To form a more general damage constitutive model,the relationship between model parameters and confining pressure is discussed and from which the model parameters are modified.Accordingly,a complete damage constitutive model is established.Contrast with triaxial compression test results,this model can well simulate the relation of stress-strain during the full process of rock failure under the various levels of confining pressure,especially the characteristic of strain softening.Besides,this model is simple and convenient to apply,capable of having properties approaching the actual situation of engineering projects.
引文
[1]唐春安.岩石破裂过程中的灾变[M].北京:煤炭工业出版社,1993.
[2]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(16):628-633.
[3]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.
[4]友卿.岩石强度的损伤力学分析[J].岩石力学与工程学报,1999,18(1):23-27.
[5]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.
[6]李杭州,廖红建,盛谦.基于统一强度理论的软岩损伤统计本构模型研究[J].岩石力学与工程学报,2006,25(7):1331-1336.
[7]佘成学,刘杰.基于Mohr强度理论的双参数抛物线型屈服准则[J].武汉大学学报(工学版),2008,41(1):31-34.
[8]赵彭年.松散介质力学[M].北京:地震出版社,1995.
[9]张明,李仲奎,苏霞.准脆性材料弹性损伤分析中的概率体元建模[J].岩石力学与工程学报,2005,24(23):4282-4288.
[10]曾亚武,赵震英,朱以文.岩石材料破坏形式的分叉分析[J].岩石力学与工程学报,2002,21(7):4282-4288.
[2]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(16):628-633.
[3]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.
[4]友卿.岩石强度的损伤力学分析[J].岩石力学与工程学报,1999,18(1):23-27.
[5]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.
[6]李杭州,廖红建,盛谦.基于统一强度理论的软岩损伤统计本构模型研究[J].岩石力学与工程学报,2006,25(7):1331-1336.
[7]佘成学,刘杰.基于Mohr强度理论的双参数抛物线型屈服准则[J].武汉大学学报(工学版),2008,41(1):31-34.
[8]赵彭年.松散介质力学[M].北京:地震出版社,1995.
[9]张明,李仲奎,苏霞.准脆性材料弹性损伤分析中的概率体元建模[J].岩石力学与工程学报,2005,24(23):4282-4288.
[10]曾亚武,赵震英,朱以文.岩石材料破坏形式的分叉分析[J].岩石力学与工程学报,2002,21(7):4282-4288.
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