计算力学学报2016，Vol.33Issue(5)：796-801,6.DOI:10.7511/jslx201605022
数值岩石试样破裂过程多重分形特征
Multi-fractal spectra characteristics of numerical rock specimen during the fracture
摘要
Abstract
A heterogeneous strain softening rock specimen was established with the numerical code FLAC3D .The multi-fractal spectrum f(α)of the elements volumetric strain at the pre-peak of rock specimen under uniaxial loading was obtained by using the box-counting method.The change rules of multi-fractal spectrum characteristic parameters,Dαand Df,with the different stages of loading process were analyzed.The characteristics of the f(α)curve vertex f(α)max and Dαwith different heterogeneity of rock specimen near the peak strength was studied.The results show that the double logarithmic diagram would keep scale invariance in a wide range when the multi-fractal was used to describe the spatial structure of elements volumetric strain.The f(α)curves shape and variation are similar to different parameter probabilistic calculation method.The shape of the multi-fractal spectrum show left hook.The Df increase with the loading process.At the same time,the Dαtrend to decrease.If the possibility of null events exist in some of the boxes,the f(α)max increase with the loading.There is an obviously decrease tendency of the f(α)max and Dαwith the decrease of the heterogeneity within limit at the pre-peak of rock specimen.However,they would be constants while the homogeneity increased to a certain extent.关键词
非均匀性/数值模拟/多重分形谱/标度不变性Key words
heterogeneity/numerical simulation/multi-fractal spectrum/scale invariance分类
信息技术与安全科学引用本文复制引用
杨宇江,李元辉..数值岩石试样破裂过程多重分形特征[J].计算力学学报,2016,33(5):796-801,6.基金项目
国家自然科学基金(51274055,51204030)资助项目 （51274055,51204030）
