Improved Gaussian Approximation of the Bundle Strength of Daniels' Model with Brittle Weibull Fibers

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Improved Gaussian Approximation of the Bundle Strength of Daniels' Model with Brittle Weibull Fibers

Popis výsledku v původním jazyce

The paper deals with the classical fiber bundle model with equal load sharing, sometimes referred to as the the Daniels bundle model or the democratic bundle. This model is significant for the strength of quasi-brittle structures and the reliability of many parallel systems. In the present paper, the authors exploit their own implementation of the recursive formula for the evaluation of the distribution function for fiber bundle strength. The implementation was carried out in the Python high-level programming language using the NumPy (scientific computing with arrays) and mpmath (library for real and complex floating-point arithmetic with arbitrary precision) packages. This implementation enables the calculation of cumulative distribution function values for large numbers (thousands) of fibers in a bundle, including values deep in the left tail of the distribution. This computer program has been used to accurately calculate the distribution functions for bundles with Weibull fibers wit

Název v anglickém jazyce

Improved Gaussian Approximation of the Bundle Strength of Daniels' Model with Brittle Weibull Fibers

Popis výsledku anglicky

The paper deals with the classical fiber bundle model with equal load sharing, sometimes referred to as the the Daniels bundle model or the democratic bundle. This model is significant for the strength of quasi-brittle structures and the reliability of many parallel systems. In the present paper, the authors exploit their own implementation of the recursive formula for the evaluation of the distribution function for fiber bundle strength. The implementation was carried out in the Python high-level programming language using the NumPy (scientific computing with arrays) and mpmath (library for real and complex floating-point arithmetic with arbitrary precision) packages. This implementation enables the calculation of cumulative distribution function values for large numbers (thousands) of fibers in a bundle, including values deep in the left tail of the distribution. This computer program has been used to accurately calculate the distribution functions for bundles with Weibull fibers wit

Druh

D - Stať ve sborníku

CEP obor

JM - Inženýrské stavitelství

OECD FORD obor

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Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2015

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

Proceedings of the 1st International Conference on Uncertainty Quantification in Computational Sciences and Engineering, held in Crete, Greece

ISBN

978-960-99994-9-6

ISSN

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e-ISSN

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Počet stran výsledku

8

Strana od-do

986-994

Název nakladatele

M. Papadrakakis, V. Papadopoulos, G. Stefanou

Místo vydání

Crete Island, Greece

Místo konání akce

Cretet Island

Datum konání akce

25. 5. 2015

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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