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| Multi-fractal spectra characteristics of numerical rock specimen during the fracture |
| Received:April 05, 2015 Revised:September 18, 2015 |
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| DOI：10.7511/jslx201605022 |
| KeyWord:heterogeneity numerical simulation multi-fractal spectrum scale invariance |
| Author | Institution |
| 杨宇江 |
辽宁科技大学 矿业工程学院, 鞍山 |
| 李元辉 |
东北大学 资源与土木工程学院, 沈阳 |
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| 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,Δα and Δf,with the different stages of loading process were analyzed.The characteristics of the f(α) curve vertex f(α)max and Δα with 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 Δf increase with the loading process.At the same time,the Δα trend 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 Δα with 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. |