Detail publikace

Brittle matrix composites with heterogeneous reinforcement: Multi-scale model of a crack bridge with rigid matrix

RYPL, R. CHUDOBA, R. SCHOLZEN, A. VOŘECHOVSKÝ, M.

Originální název

Brittle matrix composites with heterogeneous reinforcement: Multi-scale model of a crack bridge with rigid matrix

Typ

článek v časopise - ostatní, Jost

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' fiber-bundle 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

Ceramic–matrix composites (CMCs); Strength; Stress/strain curves; Multiscale modeling; Statistics

Autoři

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

Rok RIV

2013

Vydáno

13. 12. 2013

ISSN

0266-3538

Periodikum

Composites Science and Technology

Ročník

89

Stát

Spojené království Velké Británie a Severního Irska

Strany od

98

Strany do

109

Strany počet

12

BibTex

@article{BUT104321,
  author="Rostislav {Rypl} and Rostislav {Chudoba} and A. {Scholzen} and Miroslav {Vořechovský}",
  title="Brittle matrix composites with heterogeneous reinforcement: Multi-scale model of a crack bridge with rigid matrix",
  journal="Composites Science and Technology",
  year="2013",
  volume="89",
  number="0",
  pages="98--109",
  doi="10.1016/j.compscitech.2013.09.014",
  issn="0266-3538"
}