Statistical length scale in Weibull strength theory and its interaction with other scaling lengths in quasibrittle failure

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F09%3APU78999" target="_blank" >RIV/00216305:26110/09:PU78999 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Statistical length scale in Weibull strength theory and its interaction with other scaling lengths in quasibrittle failure

Popis výsledku v původním jazyce

The main result of the paper is the introduction of a statistical length scale into the Weibull theory. 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 in double logarithmic plot). Therefore, the theory predicts unlimited strength for extremely small structures. In the paper, we show that such behavior is a direct implication of the assumption that that the structural elements have independent random strengths. We show that by introduction of statistical dependence in a 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 model, the autocorrelation length plays a role of a statistical length scale. The theoretical part is followed by applications in fiber bundle models, chains of fibe

Název v anglickém jazyce

Statistical length scale in Weibull strength theory and its interaction with other scaling lengths in quasibrittle failure

Popis výsledku anglicky

The main result of the paper is the introduction of a statistical length scale into the Weibull theory. 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 in double logarithmic plot). Therefore, the theory predicts unlimited strength for extremely small structures. In the paper, we show that such behavior is a direct implication of the assumption that that the structural elements have independent random strengths. We show that by introduction of statistical dependence in a 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 model, the autocorrelation length plays a role of a statistical length scale. The theoretical part is followed by applications in fiber bundle models, chains of fibe

Druh

C - Kapitola v odborné knize

CEP obor

JM - Inženýrské stavitelství

OECD FORD obor

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Projekt

<a href="/cs/project/GA103%2F07%2F0760" target="_blank" >GA103/07/0760: Soft computing ve stavební mechanice</a><br>

Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2009

Kód důvěrnosti údajů

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

Název knihy nebo sborníku

Scaling in Solid Mechanics

ISBN

978-1-4020-9032-5

Počet stran výsledku

13

Strana od-do

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Počet stran knihy

561

Název nakladatele

Neuveden

Místo vydání

Neuveden

Kód UT WoS kapitoly

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