Critical behaviour of mixed random fibers, fibers on a chain and random graph
| dc.creator | Divakaran, Uma | |
| dc.creator | Dutta, Amit | |
| dc.date | 2005-12-09 | |
| dc.date | 2006-01-16 | |
| dc.date.accessioned | 2026-07-07T06:53:15Z | |
| dc.date.available | 2026-07-07T06:53:15Z | |
| dc.description | 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. | |
| dc.description | graphs included in Section II and III with more details | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0512205 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0512205 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/105517 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Critical behaviour of mixed random fibers, fibers on a chain and random graph | |
| dc.type | text |