Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2005-12-09
Physics
Condensed Matter
Statistical Mechanics
graphs included in Section II and III with more details
Scientific paper
We study random fiber bundle model (RFBM) with different threshold strength distributions and load sharing rules. A mixed RFBM within global load sharing scheme is introduced which consists of weak and strong fibers with uniform distribution of threshold strength of fibers having a discontinuity. The dependence of the critical stress of the above model on the measure of the discontinuity of the distribution is extensively studied. A similar RFBM with two types of fibers belonging to two different Weibull distribution of threshold strength is also studied. The variation of the critical stress of a one dimensional RFBM with the number of fibers is obtained for strictly uniform distribution and local load sharing using an exact method which assumes one-sided load transfer. The critical behaviour of RFBM with fibers placed on a random graph having co-ordination number 3 is investigated numerically for uniformly distributed threshold strength of fibers subjected to local load sharing rule, and mean field critical behaviour is established.
Divakaran Uma
Dutta Amit
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