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中文摘要：
利用多重分形计算并绘制出表征岩石三维损伤微裂纹分布复杂性的多重分形谱,引入一个表征岩石材料不均匀性、各向异性的相对分形维数,结合多重分形谱的奇异性值,对岩石实际受损状态的量化表达方法进行了探讨,并基于岩石微元强度的Mohr-Coulomb准则表示方法及其服从Weibull随机分布的特点,在本构模型中引入初始损伤分形参数,结合岩石单轴应力应变试验曲线,对不同多重分形参数下岩石强度Weibull参数取值规律进行了研究。结果表明：同一种岩石在不同损伤状态下,表征其强度特征的Weibull参数值以一定规律发生变化,且微裂纹的分布对受损岩石峰后强度造成不同程度地影响,进一步完善了岩石损伤统计本构模型。
英文摘要：
According to the standpoint of multi-fractal,three-dimensional multi-fractal spectra which can indicate the complexity of the micro-crack distribution in damaged rock are calculated and plotted.By introducing a relative fractal dimension value which can reveal inhomogeneity and anisotropy of damaged rock material and considering the singularity values of multi-fractal spectra,a quantitative method for actual damage state of the rock is derived.In addition,based on the representation of Mohr-Coulomb criterion and the characteristics of Weibull random distribution of rock strength,the change laws of Weibull parameters on diffreent multi-fractal parameters are studied by introducing a fractal parameter into the constitutive model and considering the uniaxial stress-strain test curve of rock.The results show that for the same rock in different damage states,the Weibull parameters change according to certain rules,and the distribution of micro-cracks in damaged rock has different influences on the post-peak strength of rock.The test results may further improve the statistical damage constitutive model of rock.
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