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Brittle to Ductile Transition in a Fiber Bundle with Strong Heterogeneity | K. Kovacs
; R. C. Hidalgo
; I. Pagonabarraga
; F. Kun
; | Date: |
5 Oct 2013 | Abstract: | We analyze the failure process of a two-component system with widely
different fracture strength in the framework of a fiber bundle model with
localized load sharing. A fraction 0leq alpha leq 1 of the bundle is strong
and it is represented by unbreakable fibers, while fibers of the weak component
have randomly distributed failure strength. Computer simulations revealed that
there exists a critical composition alpha_c which separates two qualitatively
different behaviors: below the critical point the failure of the bundle is
brittle characterized by an abrupt damage growth within the breakable part of
the system. Above alpha_c, however, the macroscopic response becomes ductile
providing stability during the entire breaking process. The transition occurs
at an astonishingly low fraction of strong fibers which can have importance for
applications. We show that in the ductile phase the size distribution of
breaking bursts has a power law functional form with an exponent mu=2 followed
by an exponential cutoff. In the brittle phase the power law also prevails but
with a higher exponent mu=9/2. The transition between the two phases shows
analogies to continuous phase transitions. Analyzing the microstructure of the
damage, it was found that at the beginning of the fracture process cracks
nucleate randomly, while later on growth and coalescence of cracks dominate
which give rise to power law distributed crack sizes. | Source: | arXiv, 1310.1478 | Services: | Forum | Review | PDF | Favorites |
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