Probabilistic crack bridge model reflecting random bond properties and elastic matrix deformation

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F18%3APU126158" target="_blank" >RIV/00216305:26110/18:PU126158 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S0141029617306715" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0141029617306715</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.compositesb.2017.11.040" target="_blank" >10.1016/j.compositesb.2017.11.040</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Probabilistic crack bridge model reflecting random bond properties and elastic matrix deformation

Popis výsledku v původním jazyce

A semi-analytical probabilistic model of an isolated composite crack bridge is presented in this paper. With the assumptions of heterogeneous fibrous reinforcement embedded in an elastic matrix the model is capable of evaluating the stress and strain fields in both fibers and matrix. In order to be applicable as a representative unit in models at higher scales, the micromechanical response of the composite crack bridge is homogenized by using a probabilistic approach. Specifically, the mean response of a crack bridge is obtained as the integral of the response of a single fiber over the domain of random variables weighted by their joint probability density function. This approach has been used by the authors in a recent publication describing a single crack bridge with rigid matrix. The main extension of the present crack bridge model is the incorporation of elastic matrix deformations and of boundary conditions restricting fiber debonding at the crack bridge boundaries. The latter extension is needed to reflect the effects of interactions with neighboring cracks within a tensile specimen with multiple cracks. The model is verified against three limiting cases with known analytical solutions (fiber bundle model, crack bridge with rigid matrix, mono-filament in elastic matrix) and is shown to be in exact conformity with all of these limiting cases.

Název v anglickém jazyce

Probabilistic crack bridge model reflecting random bond properties and elastic matrix deformation

Popis výsledku anglicky

A semi-analytical probabilistic model of an isolated composite crack bridge is presented in this paper. With the assumptions of heterogeneous fibrous reinforcement embedded in an elastic matrix the model is capable of evaluating the stress and strain fields in both fibers and matrix. In order to be applicable as a representative unit in models at higher scales, the micromechanical response of the composite crack bridge is homogenized by using a probabilistic approach. Specifically, the mean response of a crack bridge is obtained as the integral of the response of a single fiber over the domain of random variables weighted by their joint probability density function. This approach has been used by the authors in a recent publication describing a single crack bridge with rigid matrix. The main extension of the present crack bridge model is the incorporation of elastic matrix deformations and of boundary conditions restricting fiber debonding at the crack bridge boundaries. The latter extension is needed to reflect the effects of interactions with neighboring cracks within a tensile specimen with multiple cracks. The model is verified against three limiting cases with known analytical solutions (fiber bundle model, crack bridge with rigid matrix, mono-filament in elastic matrix) and is shown to be in exact conformity with all of these limiting cases.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20102 - Construction engineering, Municipal and structural engineering

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

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

Rok uplatnění

2018

Kód důvěrnosti údajů

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

Název periodika

COMPOSITES PART B-ENGINEERING

ISSN

1359-8368

e-ISSN

1879-1069

Svazek periodika

139

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

16

Strana od-do

130-145

Kód UT WoS článku

000430028700014

EID výsledku v databázi Scopus

2-s2.0-85037534142