Multi-scale model of a single crack bridge in composites combining rigid brittle matrix with heterogeneous fibrous reinforcement

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F14%3APU113540" target="_blank" >RIV/00216305:26110/14:PU113540 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Multi-scale model of a single crack bridge in composites combining rigid brittle matrix with heterogeneous fibrous reinforcement

Original language description

A mechanical multi-scale model describing the relationship between the crack-opening and composite bridging stress in brittle matrix composites with heterogeneous reinforcement is introduced. Unlike currently utilized models, it is able to reflect the heterogeneity of fibrous reinforcement. Mechanical, geometrical and bond properties of individual fibers (e.g. fiber surface roughness, radius, strength) are defined as random variables. The functional dependency between these random variables and the fiber stress within the composite cross-section is introduced using local equilibrium equations. The response of the composite to an applied uniaxial tensile load is evaluated by averaging the fiber stress contributions in a crack bridge. In particular, the model describes the behavior of a single crack bridge in a composite assuming the matrix to be rigid. The fiber bridging action is represented using the shear-lag model. Upon fiber rupture the global load sharing for stress redistribution is considered. With these assumptions the rules for asymptotic Daniels’ fiberbundle models can be applied for the evaluation of macroscopic crack bridge behavior. We use the model to illuminate the effect of selected sources of heterogeneity (fiber breaking strain, fiber radius and bond strength) on the crack bridge response and to approximately predict the ultimate state of a multiply cracked composite. The model constitutes a basis for the multi-scale simulation of the strain-hardening response of brittle-matrix composites.

Czech name

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Czech description

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Type

D - Article in proceedings

CEP classification

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OECD FORD branch

20102 - Construction engineering, Municipal and structural engineering

Project

<a href="/en/project/GC13-19416J" target="_blank" >GC13-19416J: Development of design and assessment methodology for planar and shell structures made of cementitious composites</a><br>

Continuities

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

Publication year

2014

Confidentiality

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

Article name in the collection

Computational Modelling of Concrete Structures

ISBN

978-1-138-02641-4

ISSN

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e-ISSN

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Number of pages

12

Pages from-to

177-188

Publisher name

Neuveden

Place of publication

Austria

Event location

St. Anton AM ARLBERG

Event date

Mar 24, 2014

Type of event by nationality

CST - Celostátní akce

UT code for WoS article

000341007800017