TY - GEN
T1 - Reliability analysis of dynamic fiber bundle models
AU - Amari, Suprasad V.
AU - Pham, Hoang
PY - 2009
Y1 - 2009
N2 - Fiber bundle models are useful tools for explaining dynamic failure behavior in heterogeneous materials. Such models shed light on diverse phenomena such as fatigue in structural materials and earthquakes in geophysical settings. Building good theoretical models has proven straightforward, but analyzing them has required delving into statistical details of the interaction of various flaw features and failure configurations, which has proven to be deceptively difficult. In this paper, we present a new method for reliability analysis of dynamic fiber bundle models. As in previous works, we assume that a fiber has a failure rate following a power law in its load level. However, unlike the exponential distribution used in the previous works, we consider that the remaining lifetimes of the surviving fibers follow Weibull distributions according to either the cumulative exposure model or tampered failure rate model. We develop both exact asymptotic reliability formulas and easy to compute bounds. Further, we also describe a fast simulation algorithm that greatly increases the bundle sizes that can be analyzed.
AB - Fiber bundle models are useful tools for explaining dynamic failure behavior in heterogeneous materials. Such models shed light on diverse phenomena such as fatigue in structural materials and earthquakes in geophysical settings. Building good theoretical models has proven straightforward, but analyzing them has required delving into statistical details of the interaction of various flaw features and failure configurations, which has proven to be deceptively difficult. In this paper, we present a new method for reliability analysis of dynamic fiber bundle models. As in previous works, we assume that a fiber has a failure rate following a power law in its load level. However, unlike the exponential distribution used in the previous works, we consider that the remaining lifetimes of the surviving fibers follow Weibull distributions according to either the cumulative exposure model or tampered failure rate model. We develop both exact asymptotic reliability formulas and easy to compute bounds. Further, we also describe a fast simulation algorithm that greatly increases the bundle sizes that can be analyzed.
KW - Equal load sharing rule
KW - Fiber bundle models
KW - Load-sharing system
KW - Power-law breakdown rule
KW - System reliability
UR - https://www.scopus.com/pages/publications/70349137586
UR - https://www.scopus.com/pages/publications/70349137586#tab=citedBy
U2 - 10.1109/RAMS.2009.4914640
DO - 10.1109/RAMS.2009.4914640
M3 - Conference contribution
SN - 9781424425099
T3 - Proceedings - Annual Reliability and Maintainability Symposium
SP - 1
EP - 6
BT - 2009 Proceedings - Annual Reliability and Maintainability Symposium, RAMS 2009
T2 - 2009 - Annual Reliability and Maintainability Symposium, RAMS 2009
Y2 - 26 January 2009 through 29 January 2009
ER -