Publication result detail

On Gaussian Approximation of the strength of Daniels' Bundle with Brittle Weibull Fibers

SADÍLEK, V.; VOŘECHOVSKÝ, M.

Original Title

On Gaussian Approximation of the strength of Daniels' Bundle with Brittle Weibull Fibers

English Title

On Gaussian Approximation of the strength of Daniels' Bundle with Brittle Weibull Fibers

Type

Paper in proceedings (conference paper)

Original Abstract

The paper deals with the classical fiber bundle model with brittle Weibull fibers and equal load sharing. This model is signif- icant 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.

English abstract

The paper deals with the classical fiber bundle model with brittle Weibull fibers and equal load sharing. This model is signif- icant 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.

Keywords

Fiber bundle model; closed-form Gaussian approximation; strength of fibrous materials and composites

Key words in English

Fiber bundle model; closed-form Gaussian approximation; strength of fibrous materials and composites

Authors

SADÍLEK, V.; VOŘECHOVSKÝ, M.

RIV year

2016

Released

21.10.2015

Publisher

WILEY-VCH Verlag

Book

PAMM -- Proceedings in Applied Mathematics and Mechanics

ISBN

1617-7061

Periodical

Proceedings in Applied Mathematics and Mechanics

Volume

15

State

United States of America

Pages from

557

Pages to

558

Pages count

2

BibTex

@inproceedings{BUT118940,
  author="Václav {Sadílek} and Miroslav {Vořechovský}",
  title="On Gaussian Approximation of the strength of Daniels' Bundle with Brittle Weibull Fibers",
  booktitle="PAMM -- Proceedings in Applied Mathematics and Mechanics",
  year="2015",
  journal="Proceedings in Applied Mathematics and Mechanics",
  volume="15",
  pages="557--558",
  publisher="WILEY-VCH Verlag",
  doi="10.1002/pamm.201510269",
  issn="1617-7061"
}