Publication result detail

Probabilistic determination of the number of fibers bridging a crack in short fiber reinforced composites

VOŘECHOVSKÝ, M.; SADÍLEK, V.

Original Title

Probabilistic determination of the number of fibers bridging a crack in short fiber reinforced composites

English Title

Probabilistic determination of the number of fibers bridging a crack in short fiber reinforced composites

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

This paper derives the probabilistic distribution functions for a random number of fibers that intersect a plane in a composite specimen reinforced by short fibers. Fibers placed and oriented randomly in 3D space bridge matrix cracks with a certain inclination angle and embedded length distributions. The distributions are determined for two alternatives: (A) the fibers centers have completely homogeneous distribution inside the specimen volume and (B) the fibers have increased density in the bulk so that no fiber can protrude from the specimen boundaries. Additionally, we derive the joint probability density function of a random embedded length and inclination angle to the normal of the (crack) plane for those fibers that intersect that plane.

English abstract

This paper derives the probabilistic distribution functions for a random number of fibers that intersect a plane in a composite specimen reinforced by short fibers. Fibers placed and oriented randomly in 3D space bridge matrix cracks with a certain inclination angle and embedded length distributions. The distributions are determined for two alternatives: (A) the fibers centers have completely homogeneous distribution inside the specimen volume and (B) the fibers have increased density in the bulk so that no fiber can protrude from the specimen boundaries. Additionally, we derive the joint probability density function of a random embedded length and inclination angle to the normal of the (crack) plane for those fibers that intersect that plane.

Keywords

Number of Fibers Bridging, Reinforced Composites

Key words in English

Number of Fibers Bridging, Reinforced Composites

Authors

VOŘECHOVSKÝ, M.; SADÍLEK, V.

RIV year

2012

Released

27.07.2011

Location

Praha

ISBN

1801-1217

Periodical

Bulletin of Applied Mechanics

Volume

7

Number

26

State

Czech Republic

Pages from

21

Pages to

25

Pages count

6

BibTex

@article{BUT88450,
  author="Miroslav {Vořechovský} and Václav {Sadílek}",
  title="Probabilistic determination of the number of fibers bridging a crack in short fiber reinforced composites",
  journal="Bulletin of Applied Mechanics",
  year="2011",
  volume="7",
  number="26",
  pages="21--25",
  issn="1801-1217"
}