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Analysis of crack-tip Moiré fringe patterns

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Abstract

Near crack-tip displacement fields of static brittle cracks in elastic isotropic homogeneous materials are examined. Simple evaluation formulae for determination of stress intensity factorsK 1 andK 2 are derived employing characteristic properties of the moiré fringes.

Higher order terms of the Westergaard stress function are considered in the analysis, their effect onto the overall moiré fringe pattern is discussed and the associated fringe patterns are classified. It is shown that crack-tip moiré fringe patterns are sensitive to variations of Poisson's ratio.

Résumé

On examine les champs de déplacement de fissures fragiles statiques au voisinage de leur extrémité dans des matériaux homogènes isotropes élastiques. En utilisant les propriétés caractéristiques des bandes de moiré, on tire des formules simples d'évaluation pour déterminer les facteurs d'intensité de contraintesK 1 andK 2.

On considére dans l'analyse les termes d'ordre supérieur de la fonction de contrainte de Westergaard; on discute leur effet sur l'apparence générale des bandes de moiré et l'on classe ainsi les apparences de bandes correspondantes. On montre que les configurations des moirés à l'extrémité de la fissure sont influencés par des variations du module de Poisson.

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Authors and Affiliations

  1. II. Institut für Mechanik, Universität Wien, Vienna, Austria

    H. P. Rossmanith

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Rossmanith, H.P. Analysis of crack-tip Moiré fringe patterns. Int J Fract 21, 83–106 (1983). https://doi.org/10.1007/BF00941866

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  • DOI: https://doi.org/10.1007/BF00941866

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