Abstract
Some relationships between the failure rate properties of interacting components and the failure rate of systems of such components, or load-sharing systems, are summarized. These are based on a result giving a mixture representation of the system strength for a load-sharing system under arbitrary load-sharing rules. Then based on a continuous cumulative damage process, a family of statistical models for the strength of such systems is described. Asymptotic inference procedures are presented, and two models in the family are given as illustrative examples for actual observed tensile strengths of carbon fibers and of micro-composite specimens.
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Lynch, J.D., Padgett, W.J. (2004). Reliability Models Motivated by Failure of Brittle Fibers and Composites. In: Soyer, R., Mazzuchi, T.A., Singpurwalla, N.D. (eds) Mathematical Reliability: An Expository Perspective. International Series in Operations Research & Management Science, vol 67. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-9021-1_14
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DOI: https://doi.org/10.1007/978-1-4419-9021-1_14
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