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

Result code in 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>

Result on the web

<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>

Result language

angličtina

Original language name

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

Original language description

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.

Czech name

—

Czech description

—

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

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

2018

Confidentiality

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

Name of the periodical

COMPOSITES PART B-ENGINEERING

ISSN

1359-8368

e-ISSN

1879-1069

Volume of the periodical

139

Issue of the periodical within the volume

1

Country of publishing house

GB - UNITED KINGDOM

Number of pages

16

Pages from-to

130-145

UT code for WoS article

000430028700014

EID of the result in the Scopus database

2-s2.0-85037534142