Micromechanical model of cross-over fibre bridging - Prediction of mixed mode bridging laws

Bent F. Sørensen; E.K. Gamstedt; Rasmus Christian Østergaard; Stergios Goutianos

doi:10.1016/j.mechmat.2007.07.007

Micromechanical model of cross-over fibre bridging - Prediction of mixed mode bridging laws

Bent F. Sørensen, E.K. Gamstedt, Rasmus Christian Østergaard, Stergios Goutianos

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

The fracture resistance of fibre composites can be greatly enhanced by crack bridging. In situ observations of mixed mode crack growth in a unidirectional carbon-fibre/epoxy composite reveal crack bridging by single fibres and by beam-like ligaments consisting of several fibres. Based on the observed bridging mechanism, a micromechanical model is developed for the prediction of macroscopic mixed mode bridging laws (stress-opening laws). The model predicts a high normal stress for very small openings, decreasing rapidly with increasing normal and tangential crack opening displacements. In contrast, the shear stress increases rapidly, approaching a constant value with increasing normal and tangential openings. The solutions for the bridging laws and the resulting toughening due to the bridging stresses are obtained in closed analytical form.

Original language	English
Journal	Mechanics of Materials
Volume	40
Issue number	4-5
Pages (from-to)	220-234
ISSN	0167-6636
DOIs	https://doi.org/10.1016/j.mechmat.2007.07.007
Publication status	Published - 2008

Keywords

Fracture resistance
ESEM testing
Polymer–matrix composites
Potential function

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title = "Micromechanical model of cross-over fibre bridging - Prediction of mixed mode bridging laws",

abstract = "The fracture resistance of fibre composites can be greatly enhanced by crack bridging. In situ observations of mixed mode crack growth in a unidirectional carbon-fibre/epoxy composite reveal crack bridging by single fibres and by beam-like ligaments consisting of several fibres. Based on the observed bridging mechanism, a micromechanical model is developed for the prediction of macroscopic mixed mode bridging laws (stress-opening laws). The model predicts a high normal stress for very small openings, decreasing rapidly with increasing normal and tangential crack opening displacements. In contrast, the shear stress increases rapidly, approaching a constant value with increasing normal and tangential openings. The solutions for the bridging laws and the resulting toughening due to the bridging stresses are obtained in closed analytical form.",

keywords = "Energiteknologier p{\aa} vej, Fracture resistance, ESEM testing, Polymer–matrix composites, Potential function",

author = "S{\o}rensen, {Bent F.} and E.K. Gamstedt and {\O}stergaard, {Rasmus Christian} and Stergios Goutianos",

year = "2008",

doi = "10.1016/j.mechmat.2007.07.007",

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TY - JOUR

T1 - Micromechanical model of cross-over fibre bridging - Prediction of mixed mode bridging laws

AU - Sørensen, Bent F.

AU - Gamstedt, E.K.

AU - Østergaard, Rasmus Christian

AU - Goutianos, Stergios

PY - 2008

Y1 - 2008

N2 - The fracture resistance of fibre composites can be greatly enhanced by crack bridging. In situ observations of mixed mode crack growth in a unidirectional carbon-fibre/epoxy composite reveal crack bridging by single fibres and by beam-like ligaments consisting of several fibres. Based on the observed bridging mechanism, a micromechanical model is developed for the prediction of macroscopic mixed mode bridging laws (stress-opening laws). The model predicts a high normal stress for very small openings, decreasing rapidly with increasing normal and tangential crack opening displacements. In contrast, the shear stress increases rapidly, approaching a constant value with increasing normal and tangential openings. The solutions for the bridging laws and the resulting toughening due to the bridging stresses are obtained in closed analytical form.

AB - The fracture resistance of fibre composites can be greatly enhanced by crack bridging. In situ observations of mixed mode crack growth in a unidirectional carbon-fibre/epoxy composite reveal crack bridging by single fibres and by beam-like ligaments consisting of several fibres. Based on the observed bridging mechanism, a micromechanical model is developed for the prediction of macroscopic mixed mode bridging laws (stress-opening laws). The model predicts a high normal stress for very small openings, decreasing rapidly with increasing normal and tangential crack opening displacements. In contrast, the shear stress increases rapidly, approaching a constant value with increasing normal and tangential openings. The solutions for the bridging laws and the resulting toughening due to the bridging stresses are obtained in closed analytical form.

KW - Energiteknologier på vej

KW - Fracture resistance

KW - ESEM testing

KW - Polymer–matrix composites

KW - Potential function

U2 - 10.1016/j.mechmat.2007.07.007

DO - 10.1016/j.mechmat.2007.07.007

M3 - Journal article

SN - 0167-6636

VL - 40

SP - 220

EP - 234

JO - Mechanics of Materials

JF - Mechanics of Materials

IS - 4-5

ER -

Micromechanical model of cross-over fibre bridging - Prediction of mixed mode bridging laws

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