Abstract
The problem of opening two coplanar Griffith cracks in an infinite elastic medium has been considered in this note. The application of Somigliana's method to this mixed boundary value problem leads to a Föppl integral equation, whose solution has been derived in closed form with the help of a convolution theorem connected with finite Hilbert transforms.
Résumé
On a considéré, dans ce mémoire, le problème de l'ouverture de 2 fissures coplanaires de Griffith dans un milieu élastique infini. L'application de la méthode de Somigliana au problème de la valeur de la frontière indéfinie conduit à une équation intégrale de Föppl dont la solution a été dérivée sous une forme fermée en utilisant un théorème de convolution connecté à une transformée finie de Hilbert.
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Maiti, M., De, S.K. & Palit, S.S. On the opening of two coplanar griffith cracks. Int J Fract 15, 41–46 (1979). https://doi.org/10.1007/BF00115907
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DOI: https://doi.org/10.1007/BF00115907