A microcracked solid reinforced by rigid-line fibers

K. X. Hu, Y. Huang*

*Corresponding author for this work

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

The effective elastic properties of a solid containing two extreme types of line inclusions-cracks and rigid-line fibers-are investigated in this paper. This is done using a two-dimensional, self-consistent method combined with crack and rigid-line energy-release concepts. It is established that the fiber density has to be approximately five times the crack density in order to offset the effect of microcracks on the tensile modulus of a solid containing randomly distributed microcracks and fibers. For parallel and perpendicular cracks and fibers, it is found that fibers have almost no effect on the tensile modulus normal to the fiber direction and neither do microcracks in the crack direction. However, microcracks reduce the composite modulus normal to the crack direction, and fibers enhance the modulus in the fiber direction. A two-dimensional differential method is also used for a material containing randomly distributed rigid-line fibers or cracks. The difference between the composite elastic moduli obtained by the differential and self-consistent methods is very small for the rigid-line-fiber reinforcements, but is pronounced for the microcracks.

Original languageEnglish (US)
Pages (from-to)145-151
Number of pages7
JournalComposites Science and Technology
Volume49
Issue number2
DOIs
StatePublished - Jan 1 1993

Fingerprint

Microcracks
Fibers
Cracks
Elastic moduli
Composite materials
Fiber reinforced materials
Direction compound

Keywords

  • fiber-reinforced composite
  • microcracked solid

ASJC Scopus subject areas

  • Engineering(all)
  • Ceramics and Composites

Cite this

@article{a91ff2fcb9d84d43bdf89de754009a83,
title = "A microcracked solid reinforced by rigid-line fibers",
abstract = "The effective elastic properties of a solid containing two extreme types of line inclusions-cracks and rigid-line fibers-are investigated in this paper. This is done using a two-dimensional, self-consistent method combined with crack and rigid-line energy-release concepts. It is established that the fiber density has to be approximately five times the crack density in order to offset the effect of microcracks on the tensile modulus of a solid containing randomly distributed microcracks and fibers. For parallel and perpendicular cracks and fibers, it is found that fibers have almost no effect on the tensile modulus normal to the fiber direction and neither do microcracks in the crack direction. However, microcracks reduce the composite modulus normal to the crack direction, and fibers enhance the modulus in the fiber direction. A two-dimensional differential method is also used for a material containing randomly distributed rigid-line fibers or cracks. The difference between the composite elastic moduli obtained by the differential and self-consistent methods is very small for the rigid-line-fiber reinforcements, but is pronounced for the microcracks.",
keywords = "fiber-reinforced composite, microcracked solid",
author = "Hu, {K. X.} and Y. Huang",
year = "1993",
month = "1",
day = "1",
doi = "10.1016/0266-3538(93)90054-K",
language = "English (US)",
volume = "49",
pages = "145--151",
journal = "Composites Science and Technology",
issn = "0266-3538",
publisher = "Elsevier BV",
number = "2",

}

A microcracked solid reinforced by rigid-line fibers. / Hu, K. X.; Huang, Y.

In: Composites Science and Technology, Vol. 49, No. 2, 01.01.1993, p. 145-151.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A microcracked solid reinforced by rigid-line fibers

AU - Hu, K. X.

AU - Huang, Y.

PY - 1993/1/1

Y1 - 1993/1/1

N2 - The effective elastic properties of a solid containing two extreme types of line inclusions-cracks and rigid-line fibers-are investigated in this paper. This is done using a two-dimensional, self-consistent method combined with crack and rigid-line energy-release concepts. It is established that the fiber density has to be approximately five times the crack density in order to offset the effect of microcracks on the tensile modulus of a solid containing randomly distributed microcracks and fibers. For parallel and perpendicular cracks and fibers, it is found that fibers have almost no effect on the tensile modulus normal to the fiber direction and neither do microcracks in the crack direction. However, microcracks reduce the composite modulus normal to the crack direction, and fibers enhance the modulus in the fiber direction. A two-dimensional differential method is also used for a material containing randomly distributed rigid-line fibers or cracks. The difference between the composite elastic moduli obtained by the differential and self-consistent methods is very small for the rigid-line-fiber reinforcements, but is pronounced for the microcracks.

AB - The effective elastic properties of a solid containing two extreme types of line inclusions-cracks and rigid-line fibers-are investigated in this paper. This is done using a two-dimensional, self-consistent method combined with crack and rigid-line energy-release concepts. It is established that the fiber density has to be approximately five times the crack density in order to offset the effect of microcracks on the tensile modulus of a solid containing randomly distributed microcracks and fibers. For parallel and perpendicular cracks and fibers, it is found that fibers have almost no effect on the tensile modulus normal to the fiber direction and neither do microcracks in the crack direction. However, microcracks reduce the composite modulus normal to the crack direction, and fibers enhance the modulus in the fiber direction. A two-dimensional differential method is also used for a material containing randomly distributed rigid-line fibers or cracks. The difference between the composite elastic moduli obtained by the differential and self-consistent methods is very small for the rigid-line-fiber reinforcements, but is pronounced for the microcracks.

KW - fiber-reinforced composite

KW - microcracked solid

UR - http://www.scopus.com/inward/record.url?scp=0027153819&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0027153819&partnerID=8YFLogxK

U2 - 10.1016/0266-3538(93)90054-K

DO - 10.1016/0266-3538(93)90054-K

M3 - Article

AN - SCOPUS:0027153819

VL - 49

SP - 145

EP - 151

JO - Composites Science and Technology

JF - Composites Science and Technology

SN - 0266-3538

IS - 2

ER -