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On Gaussian approximation of the strength of Daniels' bundle with brittle Weibull fibers
Author(s) -
Sadílek Václav,
Vořechovský Miroslav
Publication year - 2015
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201510269
Subject(s) - weibull distribution , bundle , brittleness , weibull modulus , fiber bundle , gaussian , materials science , standard deviation , fiber , reliability (semiconductor) , composite material , structural engineering , mathematics , statistical physics , mechanics , physics , engineering , statistics , thermodynamics , power (physics) , quantum mechanics
The paper deals with the classical fiber bundle model with brittle Weibull fibers and equal load sharing. This model is significant for the strength of fibrous materials and composites, and the generally random strength of quasi‐brittle structures. The model is also relevant for the analysis of the reliability of various parallel systems (computer components, infrastructure etc.). An improved closed‐form Gaussian approximation of the standard deviation of bundle strength is presented and compared with accurate solution calculated by recursive formula proposed by Daniels. (© 2015 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)