Disorder induced brittle to quasi-brittle transition in fiber bundles

Details Disorder induced brittle to quasi-brittle transition in fiber bundles Disorder induced brittle to quasi-brittle transition in fiber bundles

2011-06-23

arxiv.org/abs/1106.4748v1

Europhysics Letters 95, 16004 (2011)

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, 6 figures

Scientific paper

10.1209/0295-5075/95/16004

We investigate the fracture process of a bundle of fibers with random Young modulus and a constant breaking strength. For two component systems we show that the strength of the mixture is always lower than the strength of the individual components. For continuously distributed Young modulus the tail of the distribution proved to play a decisive role since fibers break in the decreasing order of their stiffness. Using power law distributed stiffness values we demonstrate that the system exhibits a disorder induced brittle to quasi-brittle transition which occurs analogously to continuous phase transitions. Based on computer simulations we determine the critical exponents of the transition and construct the phase diagram of the system.

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