Dimensional analysis of bond modulus in fiber pullout

Jyrki Kullaa

Research output: Contribution to journalArticleScientificpeer-review

6 Citations (Scopus)

Abstract

To evaluate the stress-crack opening relationship of fiber-reinforced composites, the properties of the constituents and the fiber-matrix interface should be known. The properties of the fibers and the matrix can fairly easy be determined, whereas those of the interface must be measured indirectly. In several fiber pullout analyses, a linear relationship between the bond shear stress and the slip is assumed in the elastic range. In this paper, the value of the bond modulus is studied using dimensional analysis and the finite element method. The value of the bond modulus was seen to depend on the fiber diameter, fiber volume content, and the modulus of elasticity of the fiber and the matrix. A diagram is shown, from which the values for the bond modulus can be read. The numerical results agree reasonably with the theory by Budiansky et al. However, the results are substantially higher than the limited available experimental data. A possible reason is that the Poisson's contraction can cause the debonding near the fiber free end even with low pullout loads.
Original languageEnglish
Pages (from-to)783-787
Number of pages5
JournalJournal of Structural Engineering
Volume122
Issue number7
DOIs
Publication statusPublished - 1996
MoE publication typeA1 Journal article-refereed

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Fibers
Debonding
Shear stress
Elastic moduli
Cracks
Finite element method
Composite materials

Cite this

Kullaa, Jyrki. / Dimensional analysis of bond modulus in fiber pullout. In: Journal of Structural Engineering. 1996 ; Vol. 122, No. 7. pp. 783-787.
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Dimensional analysis of bond modulus in fiber pullout. / Kullaa, Jyrki.

In: Journal of Structural Engineering, Vol. 122, No. 7, 1996, p. 783-787.

Research output: Contribution to journalArticleScientificpeer-review

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PY - 1996

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AB - To evaluate the stress-crack opening relationship of fiber-reinforced composites, the properties of the constituents and the fiber-matrix interface should be known. The properties of the fibers and the matrix can fairly easy be determined, whereas those of the interface must be measured indirectly. In several fiber pullout analyses, a linear relationship between the bond shear stress and the slip is assumed in the elastic range. In this paper, the value of the bond modulus is studied using dimensional analysis and the finite element method. The value of the bond modulus was seen to depend on the fiber diameter, fiber volume content, and the modulus of elasticity of the fiber and the matrix. A diagram is shown, from which the values for the bond modulus can be read. The numerical results agree reasonably with the theory by Budiansky et al. However, the results are substantially higher than the limited available experimental data. A possible reason is that the Poisson's contraction can cause the debonding near the fiber free end even with low pullout loads.

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