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Self-similar pattern formation and continuous mechanics of self-similar systems
Hydrology and Earth System Sciences Discussions
In many cases, the critical state of systems that reached the threshold is characterised by self-similar pattern formation. We produce an example of pattern formation of this kind -formation of self-similar distribution of interacting fractures. Their formation starts with the crack growth due to the action of stress fluctuations. It is shown that even when the fluctuations have zero average the cracks generated by them could grow far beyond the scale of stress fluctuations. Further developmentdoi:10.5194/hessd-3-1879-2006 fatcat:66llycwlcvahdomnplgqlk3fz4