Multi-scale model of a single crack bridge in composites combining rigid brittle matrix with heterogeneous fibrous reinforcement
Identifikátory výsledku
Kód výsledku v 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>
Výsledek na webu
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DOI - Digital Object Identifier
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Alternativní jazyky
Jazyk výsledku
angličtina
Název v původním jazyce
Multi-scale model of a single crack bridge in composites combining rigid brittle matrix with heterogeneous fibrous reinforcement
Popis výsledku v původním jazyce
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.
Název v anglickém jazyce
Multi-scale model of a single crack bridge in composites combining rigid brittle matrix with heterogeneous fibrous reinforcement
Popis výsledku anglicky
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.
Klasifikace
Druh
D - Stať ve sborníku
CEP obor
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OECD FORD obor
20102 - Construction engineering, Municipal and structural engineering
Návaznosti výsledku
Projekt
<a href="/cs/project/GC13-19416J" target="_blank" >GC13-19416J: Vývoj metodiky pro návrh a posouzení plošných a skořepinových konstrukcí z cementových kompozitů</a><br>
Návaznosti
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Ostatní
Rok uplatnění
2014
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Údaje specifické pro druh výsledku
Název statě ve sborníku
Computational Modelling of Concrete Structures
ISBN
978-1-138-02641-4
ISSN
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e-ISSN
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Počet stran výsledku
12
Strana od-do
177-188
Název nakladatele
Neuveden
Místo vydání
Austria
Místo konání akce
St. Anton AM ARLBERG
Datum konání akce
24. 3. 2014
Typ akce podle státní příslušnosti
CST - Celostátní akce
Kód UT WoS článku
000341007800017