Analytical model for fracture in random quasibrittle media based on extremes of the averaging process

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F21%3APU143776" target="_blank" >RIV/00216305:26110/21:PU143776 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.7712/120221.8035.18924" target="_blank" >http://dx.doi.org/10.7712/120221.8035.18924</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.7712/120221.8035.18924" target="_blank" >10.7712/120221.8035.18924</a>

Result language

angličtina

Original language name

Analytical model for fracture in random quasibrittle media based on extremes of the averaging process

Original language description

The paper presents an analytical model for prediction of the peak force in concrete specimens loaded in bending (both notched and unnotched). The model is capable of predicting peak force statistics by computing the extreme values of sliding averages of random strength fields. The local strength of the specimen is modeled by a stationary isotropic random field with Gaussian distribution and a given autocorrelation function. The averaging operation represents the progressive loss in material integrity and the associated stress redistribution that takes place prior to reaching the peak load. Once the (linear) averaging process is performed analytically, the resulting random field of averaged strength is assumed to represent a series of representative volume elements (RVEs) and the global strength is found by solving for the minimum of such an effective strength field. All these operations can be written analytically and there are only four model parameters: the three dimensions of the averaging volume (RVE) and the length of the final weakest-link chain. The model is verified using detailed numerical computations of notched and unnotched concrete beams simulated by mesoscale discrete simulations of concrete fracture performed with probabilistic distributions of model parameters. The numerical model used for verification represents material randomness both by assigning random locations to the largest aggregates and by simulating random fluctuations of material parameters via a homogeneous random field.

Czech name

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Czech description

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Type

D - Article in proceedings

CEP classification

—

OECD FORD branch

20101 - Civil engineering

Project

<a href="/en/project/GC19-06684J" target="_blank" >GC19-06684J: Fatigue of structural concrete driven by cumulative measure of shear strain</a><br>

Continuities

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

Publication year

2021

Confidentiality

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

Article name in the collection

UNCECOMP Proceedings

ISBN

978-618-85072-6-5

ISSN

2623-3339

e-ISSN

—

Number of pages

14

Pages from-to

232-245

Publisher name

National Technical University of Athens

Place of publication

Athens, Greece

Event location

Athens

Event date

Jun 28, 2021

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

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