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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

20101 - Civil engineering

Projekt

<a href="/cs/project/GC19-06684J" target="_blank" >GC19-06684J: Únava konstrukčního betonu řízená kumulativním smykovým přetvořením</a><br>

Návaznosti

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

Rok uplatnění

2021

Kód důvěrnosti údajů

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

Název statě ve sborníku

UNCECOMP Proceedings

ISBN

978-618-85072-6-5

ISSN

2623-3339

e-ISSN

—

Počet stran výsledku

14

Strana od-do

232-245

Název nakladatele

National Technical University of Athens

Místo vydání

Athens, Greece

Místo konání akce

Athens

Datum konání akce

28. 6. 2021

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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