Detail publikace

Incorporation of statistical length scale into Weibull strength theory for composites

VOŘECHOVSKÝ, M.

Originální název

Incorporation of statistical length scale into Weibull strength theory for composites

Typ

článek v časopise - ostatní, Jost

Jazyk

angličtina

Originální abstrakt

In this paper an extension of Weibull theory by the introduction of a statistical length scale is presented. The classical Weibull strength theory is self-similar; a feature that can be illustrated by the fact that the strength dependence on structural size is a power law (a straight line on a double logarithmic graph). Therefore, the theory predicts unlimited strength for extremely small structures. In the paper, it is shown that such a behavior is a direct implication of the assumption that structural elements have independent random strengths. By the introduction of statistical dependence in the form of spatial autocorrelation, the size dependent strength becomes bounded at the small size extreme. The local random strength is phenomenologically modeled as a random field with a certain autocorrelation function. In such a model, the autocorrelation length plays the role of a statistical length scale. The focus is on small failure probabilities and the related probabilistic distributions of the strength of composites. The theoretical part is followed by applications in fiber bundle models, chains of fiber bundle models and the stochastic finite element method in the context of quasibrittle failure.

Klíčová slova

Autocorrelation length, Extreme of strength random field, Fiber bundle model, Chain-of-bundles, Extreme value theory, Statistical length scale

Autoři

VOŘECHOVSKÝ, M.

Rok RIV

2010

Vydáno

30. 6. 2010

Nakladatel

Elsevier

ISSN

0263-8223

Periodikum

COMPOSITE STRUCTURES

Ročník

2010 (92)

Číslo

9

Stát

Spojené království Velké Británie a Severního Irska

Strany od

2027

Strany do

2034

Strany počet

8

BibTex

@article{BUT50523,
  author="Miroslav {Vořechovský}",
  title="Incorporation of statistical length scale into Weibull strength theory for composites",
  journal="COMPOSITE STRUCTURES",
  year="2010",
  volume="2010 (92)",
  number="9",
  pages="2027--2034",
  issn="0263-8223"
}