Revisit on the fractal dimension in damage and fracture
The catastrophic failure of materials is a complicated process, involving the nucleation, growth and coalescence of numerous cracks with a wide range of time and length scales. In this paper, the variation of fractal dimension and entropy during a damage evolution process, especially in the vicinity...
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| Format: | Conference Paper |
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The Chinese Society of Theoretical and Applied Mechanics
2013
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| Online Access: | http://www.gruppofrattura.it/ocs/index.php/ICF/icf13/paper/viewFile/11487/10866 http://hdl.handle.net/20.500.11937/36395 |
| Summary: | The catastrophic failure of materials is a complicated process, involving the nucleation, growth and coalescence of numerous cracks with a wide range of time and length scales. In this paper, the variation of fractal dimension and entropy during a damage evolution process, especially in the vicinity of a critical failure, is revisited. The results show that, as damage evolves, both the fractal dimension and entropy of the spatial distribution of microcracks decrease. A sudden drop of fractal dimension or entropy can be viewed as a likely precursor of fracture and its implications for the prediction of natural disasters such as mining-induced rock bursts and earthquakes are discussed. |
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