A simple model to predict the effect of volume fraction, diameter, and length of fibres on strength of fibre reinforced brittle matrix composites

Tribikram Kundu, H. S. Jang, Y. H. Cha, C. S. Desai

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

A simplified model is presented to predict the strength variations of brittle matrix composites, reinforced by steel fibres, with the variations of fibre parameters-length, diameter and volume fraction. This model predicts that its tensile and flexural strength increase non-linearly with the fibre volume fraction. It also predicts that similar non-linear behaviour should be observed with the reduction of the fibre diameter when other parameters are kept constant. The experimental results support both these theoretical predictions. It is also explained why an increase in the fibre length does not always significantly increase the fracture toughness. The objective of this paper is not to explain and understand in great detail the science of all phenomena responsible for the strength increase of fibre reinforced brittle matrix composites, but to provide a simple engineering explanation as to why its strength increases with the fibre addition, and how this increase can be quantitatively related to the variations in fibre parameters-fibre volume fraction, fibre length and diameter. These simplifying steps are needed to provide a tool that the practicing engineers can use to predict the brittle matrix strength variation with the fibre parameters. In the area of geomechanics, the results presented here can be used to assess and predict the behaviour of fibre-reinforced earth. Copyright (C) 2000 John Wiley and Sons, Ltd.

Original languageEnglish (US)
Pages (from-to)655-673
Number of pages19
JournalInternational Journal for Numerical and Analytical Methods in Geomechanics
Volume24
Issue number7
DOIs
StatePublished - Jun 2000

Fingerprint

Volume fraction
matrix
Fibers
Composite materials
fibre
effect
Geomechanics
reinforced earth
Steel fibers
fracture toughness
geomechanics
Bending strength
Fracture toughness
Tensile strength
Earth (planet)
steel
Engineers
engineering
parameter
prediction

Keywords

  • Brittle matrix
  • Composite
  • Fibre
  • Fracture toughness
  • Ultimate strength

ASJC Scopus subject areas

  • Geotechnical Engineering and Engineering Geology
  • Computational Mechanics
  • Mechanics of Materials
  • Materials Science(all)

Cite this

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abstract = "A simplified model is presented to predict the strength variations of brittle matrix composites, reinforced by steel fibres, with the variations of fibre parameters-length, diameter and volume fraction. This model predicts that its tensile and flexural strength increase non-linearly with the fibre volume fraction. It also predicts that similar non-linear behaviour should be observed with the reduction of the fibre diameter when other parameters are kept constant. The experimental results support both these theoretical predictions. It is also explained why an increase in the fibre length does not always significantly increase the fracture toughness. The objective of this paper is not to explain and understand in great detail the science of all phenomena responsible for the strength increase of fibre reinforced brittle matrix composites, but to provide a simple engineering explanation as to why its strength increases with the fibre addition, and how this increase can be quantitatively related to the variations in fibre parameters-fibre volume fraction, fibre length and diameter. These simplifying steps are needed to provide a tool that the practicing engineers can use to predict the brittle matrix strength variation with the fibre parameters. In the area of geomechanics, the results presented here can be used to assess and predict the behaviour of fibre-reinforced earth. Copyright (C) 2000 John Wiley and Sons, Ltd.",
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AU - Cha, Y. H.

AU - Desai, C. S.

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AB - A simplified model is presented to predict the strength variations of brittle matrix composites, reinforced by steel fibres, with the variations of fibre parameters-length, diameter and volume fraction. This model predicts that its tensile and flexural strength increase non-linearly with the fibre volume fraction. It also predicts that similar non-linear behaviour should be observed with the reduction of the fibre diameter when other parameters are kept constant. The experimental results support both these theoretical predictions. It is also explained why an increase in the fibre length does not always significantly increase the fracture toughness. The objective of this paper is not to explain and understand in great detail the science of all phenomena responsible for the strength increase of fibre reinforced brittle matrix composites, but to provide a simple engineering explanation as to why its strength increases with the fibre addition, and how this increase can be quantitatively related to the variations in fibre parameters-fibre volume fraction, fibre length and diameter. These simplifying steps are needed to provide a tool that the practicing engineers can use to predict the brittle matrix strength variation with the fibre parameters. In the area of geomechanics, the results presented here can be used to assess and predict the behaviour of fibre-reinforced earth. Copyright (C) 2000 John Wiley and Sons, Ltd.

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