Damage Constitutive Model of Rock Based on Drucker-Prager Criterion
-
摘要: 为解决用对数变换再线性拟合的方法求岩石损伤本构方程参数计算过程复杂、不利于计算机编程的问题,引入岩石应力-应变曲线特征参量,并考虑岩石应力-应变曲线的极值条件,给出了模型参数的解析式,从而建立了新的岩石损伤本构模型.通过与砂岩试件三轴压缩试验结果比较,证明所建立的模型可以很好地反映岩石的应力-应变关系.通过对参数m和F0的讨论,认为m和F0分别代表了岩石的脆性和强度,而弹性模量是参数m和F0的共同反映.Abstract: To overcome the shortcoming of the existing method to establish the damage constitutive model of rock,i.e.,it seeks parameters in the constitutive model by linear fitting after logarithmic transformation to result in a complex calculation and not to fit for computer programming,formulas of calculating the parameters in the constitutive model were given by introducing the characteristic parameters of the stress-strain curve of rock and taking the extreme conditions for the stress-strain curve of rock into consideration.As a result,a new constitutive damage model of rock can be easily established.Comparison with the result of triaxial compression tests shows that this model can reflect well the relationship between stress and strain of rock.Through a discussion on parameters m and F0 in the constitutive damage model,it is believed that m and F0 represent the brittleness and strength of rock respectively,and elastic modulus of rock is a co-reflection of the two parameters.
-
Key words:
- rock /
- damage /
- constitutive model /
- parameter
-
唐春安.岩石破裂过程中的灾变[M].北京:煤炭工业出版社,1993:11-30.[2] 曹文贵,方祖烈,店学军.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.CAO Wengui,FANG Zulie,TANG Xuejun.A study of statistical constitutive model for softening and damage rocks[J].Chinese Journal of Rock Mechanics and Engineering,1998,17(6):628-633.[3] 曹文贵,赵明华,刘成学.基于Weibull分布的岩石损伤软化模型及其修正方法研究[J].岩石力学与工程学报,2004,23(19):3 226-3 231.CAO Wengui,ZHAO Minghua,LIU Chengxue.Study on the model and its modifying method for rock softening and damage based on Weibull random distributiou[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(19):3 226-3 231.[4] 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.XU Weiya,WEI Lide.Study on statistical damage constitutive model of rock[J].Chinese Joumal of Rock Mechanics and Engineering,2002,21(6):787-791.[5] LEMAITRE J.How to use damage mechanics[J].Nuclear Engineering and Design,1984,80(3):233-245.[6] LEMAITRE J.A continuous mechanic model for ductile materials[J].Journal of Engineering Materials and Technology,1985,107(1):83-89.[7] 谢和平.岩石混凝土损伤力学[M].徐州:中国矿业大学出版社,1990:18-19.[8] 商霖,宁建国.强冲击载荷下混凝土动态本构关系[J].工程力学,2005,22(2):116-119.SHANG Lin,NING Jianguo.Dynamic constitutive relatiouship of concrete subjected to shock loading[J].Engineering Mechanics,2005,22(2):116-119.[9] 杨天鸿,唐春安,徐涛,等.岩石破裂过程的渗透特性--理论、模型与应用[M].北京:科学出版社,2004:63-64. -
点击查看大图
计量
- 文章访问数: 1667
- HTML全文浏览量: 67
- PDF下载量: 445
- 被引次数: 0
下载: