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Mixed-mode fracture of composites using Iosipescu shear test

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Abstract

Finite element analysis is used to determine the influence of elastic properties on the stress distribution in the Iosipescu shear test specimen. Two different boundary conditions are used which assume either the application of force couples or specified displacements. The effect of orthotropy ratio is investigated with E 11/E 22ranging from 1 to 14.2. The analysis is extended to partially cracked specimens and used to calculate the basic fracture parameters in aligned composite materials. In particular, the failure of specimens with two axial splits, nucleated at the roots of the notches, and extended in the fibre direction is analysed. It is shown that the stress distribution is strongly dependent on both the elastic properties and boundary conditions. The mixed mode stress intensity factors K Iand K IIat the crack tips tend to increase with orthotropy ratio. The analysis is discussed with respect to the limited experimental data available for this test geometry. From the numerical and experimental results the mixed mode toughness is estimated in terms of the critical stress intensity factors and the critical energy release rate.

Résumé

On recourt à une analyse par éléments finis pour déterminer l'influence des propriétés élastiques du matériau sur la distribution des contraintes dans l'éprouvette de l'essai de cisaillement de Iosipescu. Deux conditions aux limites sont considérées: l'application de couples de forces ou de déplacements imposés. L'effet du rapport d'orthotropie est étudié, pour des valeurs de E 11/E 22comprises entre 1 et 14,2. L'analyse est étendue au cas d'éprouvettes partiellement fissurées, et est utilisée pour le calcul des paramètres fondamentaux de rupture dans des matériaux composites à fibres alignées. On analyse en particulier la rupture d'éprouvette comportant deux séparations axiales, prenant naissance aux racines ds entailles et s'étendant dans la direction de la fibrosité.

On montre que la distribution des containtes dépend fortement des propriétés élastiques du matériaux et des conditions aux limites. Les facteurs d'intensité de contrainte correspondant au mode mixte K Iet K IIde rupture aux extrémités de la fissure tendant à croître avec le rapport d'orthotropie.

Une discussion sur cette analyse tient compte du nombre limité de données expérimentales disponibles pour cette géométrie d'éprouvettes. On peut estimer la ténacité sous mode mixte à partir des résultats numériques et expérimentaux, et l'exprimer par les facteurs critiques d'intensité de contraintes et la vitesse critique de relaxation de l'énergie.

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Author notes

  1. M. Kumosa

    Present address: Technical University of Wroclaw, Wroclaw, Poland

Authors and Affiliations

  1. Department of Materials Science and Metallurgy, University of Cambridge, England

    M. Kumosa & D. Hull

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  1. M. Kumosa
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  2. D. Hull
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Kumosa, M., Hull, D. Mixed-mode fracture of composites using Iosipescu shear test. Int J Fract 35, 83–102 (1987). https://doi.org/10.1007/BF00019793

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  • DOI: https://doi.org/10.1007/BF00019793

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