Internal Length Scale of Weakest-Link Statistical Model for Quasi-Brittle Fracture

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F18%3APU127676" target="_blank" >RIV/00216305:26110/18:PU127676 - isvavai.cz</a>

Result on the web

<a href="https://ascelibrary.org/doi/abs/10.1061/%28ASCE%29EM.1943-7889.0001430" target="_blank" >https://ascelibrary.org/doi/abs/10.1061/%28ASCE%29EM.1943-7889.0001430</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1061/(ASCE)EM.1943-7889.0001430" target="_blank" >10.1061/(ASCE)EM.1943-7889.0001430</a>

Result language

angličtina

Original language name

Internal Length Scale of Weakest-Link Statistical Model for Quasi-Brittle Fracture

Original language description

Anchored by the theory of extreme value statistics, Weibull distribution is the most widely used mathematical model for strength distribution of brittle structures. In a series of recent studies, a finite weakest-link model was developed for strength distribution of quasi-brittle structures, and the classical Weibull distribution was shown to represent the large-size asymptote of the model. By employing a length scale, the finite weakest-link model is capable of capturing correctly the size effects on both the probability distribution and the mean value of structural strength. However, the connection of this length scale with the basic material properties is still missing. This study investigates the relationship between the length scale of the finite weakest-link model and the material length scales by analyzing the size effect on the mean structural strength. The mathematical form of this relationship is derived through dimensional analysis. To validate the model, a set of mean size effect curves is obtained through stochastic simulations, which use a nonlinear constitutive model involving both the Irwin characteristic length and the crack band width. The internal length scale of the weakest-link model is determined by optimum fitting of the benchmark size effect curves in the small-size range. Furthermore, the effect of stress field on this internal length scale is studied by considering three different loading configurations. The present analysis reveals the importance of the mean size effect analysis for the calibration of finite weakest-link model.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

20102 - Construction engineering, Municipal and structural engineering

Project

<a href="/en/project/LO1408" target="_blank" >LO1408: AdMaS UP – Advanced Building Materials, Structures and Technologies</a><br>

Continuities

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

Publication year

2018

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

1943-7889

Volume of the periodical

144

Issue of the periodical within the volume

4

Country of publishing house

US - UNITED STATES

Number of pages

11

Pages from-to

040180171-0401801711

UT code for WoS article

000425611400007

EID of the result in the Scopus database

2-s2.0-85042107729