Asymptotic prediction of energetic-statistical size effects from deterministic finite-element solutions

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F07%3APU72167" target="_blank" >RIV/00216305:26110/07:PU72167 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Asymptotic prediction of energetic-statistical size effects from deterministic finite-element solutions

Original language description

An improved form of a recently derived energetic-statistical formula for size effect on the strength of quasibrittle structures failing at crack initiation is presented and exploited to perform stochastic structural analysis without the burden of stochastic nonlinear finite-element simulations. The characteristics length for the statistical term in this formula is deduced by considering the limiting case of the energetic part of size effect for a vanishing thickness of the boundary layer of cracking. Asimple elastic analysis of stress field provides the large-size asymptotic deterministic strength, and also allows evaluating the Weilbull probability integral which yields the mean strength according to the purely statistical Weilbull theory. A deterministic plastic limit analysis of an elastic body with a throughcrack imagined to be filled by a perfectly plastic" glue" is used to obtain the small-size effect.

Czech name

Asymptotic prediction of energetic-statistical size effects from deterministic finite-element solutions

Czech description

An improved form of a recently derived energetic-statistical formula for size effect on the strength of quasibrittle structures failing at crack initiation is presented and exploited to perform stochastic structural analysis without the burden of stochastic nonlinear finite-element simulations. The characteristics length for the statistical term in this formula is deduced by considering the limiting case of the energetic part of size effect for a vanishing thickness of the boundary layer of cracking. Asimple elastic analysis of stress field provides the large-size asymptotic deterministic strength, and also allows evaluating the Weilbull probability integral which yields the mean strength according to the purely statistical Weilbull theory. A deterministic plastic limit analysis of an elastic body with a throughcrack imagined to be filled by a perfectly plastic" glue" is used to obtain the small-size effect.

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

JM - Structural engineering

OECD FORD branch

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Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2007

Confidentiality

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

Name of the periodical

Journal of Engineering Mechanics

ISSN

0733-9399

e-ISSN

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Volume of the periodical

133

Issue of the periodical within the volume

2

Country of publishing house

US - UNITED STATES

Number of pages

10

Pages from-to

153-162

UT code for WoS article

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EID of the result in the Scopus database

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