Micromechanics of multiple cracking: Part I Fibre analysis

Jyrki Kullaa

Research output: Contribution to journalArticleScientificpeer-review

3 Citations (Scopus)

Abstract

Fibre-reinforced brittle materials exhibiting a strain-hardening tensile behaviour undergo a multiple cracking process. A micromechanical analysis of a straight smooth fibre, bridging one or several cracks in a multiply-cracked composite is introduced, taking into account the full or elastic bond, gradual debonding, and frictional sliding of the fibre. Equilibrium is satisfied by means of a two-fibre system introducing a symmetry fibre within the segment. Equations for different debonding cases are derived. The fibre ends are analysed using a simplified approach, the validity of which is discussed. The system equations are derived from the compatibility condition of equal crack widths. Two examples are analysed to study the effects of crack spacing.
Original languageEnglish
Pages (from-to)4213-4224
JournalJournal of Materials Science
Volume33
Issue number16
DOIs
Publication statusPublished - 1998
MoE publication typeA1 Journal article-refereed

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Micromechanics
Fibers
Debonding
Cracks
Brittleness
Strain hardening
Composite materials

Cite this

Kullaa, Jyrki. / Micromechanics of multiple cracking : Part I Fibre analysis. In: Journal of Materials Science. 1998 ; Vol. 33, No. 16. pp. 4213-4224.
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Micromechanics of multiple cracking : Part I Fibre analysis. / Kullaa, Jyrki.

In: Journal of Materials Science, Vol. 33, No. 16, 1998, p. 4213-4224.

Research output: Contribution to journalArticleScientificpeer-review

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T1 - Micromechanics of multiple cracking

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AU - Kullaa, Jyrki

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AB - Fibre-reinforced brittle materials exhibiting a strain-hardening tensile behaviour undergo a multiple cracking process. A micromechanical analysis of a straight smooth fibre, bridging one or several cracks in a multiply-cracked composite is introduced, taking into account the full or elastic bond, gradual debonding, and frictional sliding of the fibre. Equilibrium is satisfied by means of a two-fibre system introducing a symmetry fibre within the segment. Equations for different debonding cases are derived. The fibre ends are analysed using a simplified approach, the validity of which is discussed. The system equations are derived from the compatibility condition of equal crack widths. Two examples are analysed to study the effects of crack spacing.

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JO - Journal of Materials Science

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