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A finite elastostatic analysis of bimaterial interface cracks

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Abstract

A numerical method is developed to study the bimaterial interface problem in Neo-Hookean materials under plane stress conditions. Comparison is made with the analytical predictions for the asymptotic field of the problem. The range of dominance of the asymptotic solution at different load levels is established and the amplitudes of the crack-tip asymptotic field are related to the far field loading. The numerical model is extended to analyze the experiments conducted on specimens with an edge crack at the interface between two dissimilar Solithane plates that are characterized by Mooney-Rivlin material behavior.

Résumé

On met au point une méthode numérique pour l'étude d'un problème d'interfaces entre deux matériaux néo-Hookiens sollicités en état plan de tension. On compare les résultats avec les prédictions analytiques étabiies pour un champ asymptotique. On établit la gamme dans laquelle la solution asymptotique est dominante, à différents niveaux de charge, et on met en relation l'ampleur du champ asymptotique à l'extrémité de la fissure avec celle du champ de contraintes à une certaine distance. Le modèle numérique est étendu à l'analyse d'essais sur éprouvettes comportant une fissure de bord à l'interface de deux tôles de Solithane caractérisée par un comportement de matériau de Mooney-Rivlin.

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Author notes

  1. G. Ravichandran

    Present address: Department of Applied Mechanics and Engineering Sciences, University of California at San Diego, 92093, La Jolla, California, USA

Authors and Affiliations

  1. Graduate Aeronautical Laboratories, California Institute of Technology, 91125, Pasadena, California, USA

    G. Ravichandran & W. G. Knauss

Authors
  1. G. Ravichandran
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  2. W. G. Knauss
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Ravichandran, G., Knauss, W.G. A finite elastostatic analysis of bimaterial interface cracks. Int J Fract 39, 235–253 (1989). https://doi.org/10.1007/BF00047452

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  • DOI: https://doi.org/10.1007/BF00047452

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