## The reliability of series-parallel load-sharing systems that contain flaws |

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### Contents

THE PURE FLAW MODEL | 28 |

THE MIXED FLAW MODEL | 82 |

LIMIT THEOREMS FOR THE MIXED FLAW MODEL | 114 |

1 other sections not shown

### Common terms and phrases

approximation bundle failure probability bundle size increases bundle strength bundle survives calculations chain-of-bundles model coefficient of variation composite compute consecutive failures consecutive fibers Consider a bundle converges to zero distribution for bundle equal load sharing F K.x F failed fiber failure criterion fiber adjacent fiber bundles fiber carries fiber fails fiber strength distribution Figure flaw distribution function flaw probability flaws adjacent four fibers G a x+b G^Cx Gn(x graph Harlow and Phoenix implies individual fiber ineffective length interval 2/5 lim nP{A limit distribution load sharing rule Markov chain median strength mixed flaw model model as bundle n n n n n r-1 n-tuple Newton's method nine fibers nonfailed fiber number of fibers number of flaws occurs probability distribution pure flaw model r-minimal failure sequence shape parameter single fiber Smith sub-bundle survival configurations Survival probabilities surviving fibers three flaws unflawed fiber unit strength fiber values weakest link Weibull distribution x/xQ