Abstract
The nature of the singular stress field developed at the point where a crack intersects the bonded interface of a bimaterial full-plane was investigated by the complex variable method. The crack lips were assumed to be under homogeneous stress, displacement or mixed boundary conditions. The order of the singularity was shown to be dependent on both the geometry and the four elastic constants of the two materials of the composite. Graphs showing the variation of the stress singularity with the aforementioned parameters were given. Valuable results indicating how the stress singularity depends on the geometry, the elastic constants and the boundary conditions of the cracked composite full-plane were derived.
Résumé
On a étudié à l'aide de la méthode des variables complexes la nature du champ singulier de contraintes qui se développe à l'endroit où une fissure coupe l'interface d'un plan constitué de deux matériaux solidaires. On suppose que les lèvres de la fissure sont soumises à des contraintes et des déplacements homogènes et sont sous des conditions aux limites mixtes. On montre que l'ordre de la singularité dépend à la fois de la géométrie et des quatre constantes élastiques des matériaux qui constituent le composite. On donne des diagrammes établissant la variation de la singularité de la contrainte selon les paramètres mentionnés. Des résultats pertinents sont obtenus, qui indiquent comment la singularité de contrainte dépend de la géométrie, des constantes élastiques et des conditions aux limites du plan composite fissuré.
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Theocaris, P.S., Gdoutos, E.E. Stress singularities in cracked composite full-planes. Int J Fract 13, 763–773 (1977). https://doi.org/10.1007/BF00034321
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DOI: https://doi.org/10.1007/BF00034321