Publication detail

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

VOŘECHOVSKÝ, M. SADÍLEK, V.

Original Title

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

Type

lecture

Language

English

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 distribution, respectively. The distribution is determined for two alternatives: (i) when the fiber centers have completely homogeneous distribution inside the specimen volume and, (ii) when the fibers have modified densities of orientations in the vicinity of the specimen boundaries. Additionally, we derive the probability density function of a random embedded length and inclination angle with respect to the (crack) plane for those fibers that intersect that plane.

Keywords

short-fiber reinforced composites, conditional probability and statistics

Authors

VOŘECHOVSKÝ, M.; SADÍLEK, V.

Released

23. 5. 2011

Location

Brno

Pages from

1

Pages to

9

Pages count

9

BibTex

@misc{BUT88864,
  author="Miroslav {Vořechovský} and Václav {Sadílek}",
  title="Probabilistic determination of number of fibers bridging a crack in short fiber reinforced composites",
  year="2011",
  pages="1--9",
  address="Brno",
  note="lecture"
}