Detail publikace

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

VOŘECHOVSKÝ, M. RYPL, R. CHUDOBA, R.

Originální název

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

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

Multi-scale mode, brittle matrix, composites

Autoři

VOŘECHOVSKÝ, M.; RYPL, R.; CHUDOBA, R.

Rok RIV

2014

Vydáno

24. 3. 2014

Místo

Austria

ISBN

978-1-138-02641-4

Kniha

Computational Modelling of Concrete Structures

Strany od

177

Strany do

188

Strany počet

12

BibTex

@inproceedings{BUT113865,
  author="Miroslav {Vořechovský} and Rostislav {Rypl} and Rostislav {Chudoba}",
  title="Multi-scale model of a single crack bridge in composites combining rigid brittle matrix with heterogeneous fibrous reinforcement",
  booktitle="Computational Modelling of Concrete Structures",
  year="2014",
  pages="177--188",
  address="Austria",
  isbn="978-1-138-02641-4"
}