Skip to Main content Skip to Navigation
Journal articles

Application of the Dugdale model to a mixed mode loading of a semi infinite cracked structure

Abstract : The Dugdale model was initially developed in the case of a mode I loading. It was extended to other modes and to the mixed mode case. The exact solutions were given for all these modes in the case of an infinite medium with a straight crack. This work is an application of the Dugdale model to a crack in a semi infinite structure submitted to a mixed mode loading. The coupled system of singular integral equations of the first kind corresponding to the elastostatic problem is solved semi-analytically. Particular attention is needed in the resolution because of jump discontinuities in the loading of the crack faces. The criteria of propagation are deduced from the revisited Griffith theory (Francfort, Marigo, Journal of Mechanics and Physics of Solids, 1998). The presented results show the evolution of the applied load and critical stress with the crack length. The shape of the crack gap is also presented. A comparison with the problem of a crack in an infinite structure is performed.
Document type :
Journal articles
Complete list of metadata

https://hal-polytechnique.archives-ouvertes.fr/hal-01246347
Contributor : Jean-Jacques Marigo Connect in order to contact the contributor
Submitted on : Tuesday, December 7, 2021 - 2:42:19 PM
Last modification on : Wednesday, December 22, 2021 - 6:19:28 PM

File

Ferdjani2015.pdf
Files produced by the author(s)

Licence


Distributed under a Creative Commons Attribution - NonCommercial 4.0 International License

Identifiers

Citation

Hichème Ferdjani, Jean-Jacques Marigo. Application of the Dugdale model to a mixed mode loading of a semi infinite cracked structure. European Journal of Mechanics - A/Solids, Elsevier, 2015, 53, pp.1-9. ⟨10.1016/j.euromechsol.2015.02.006⟩. ⟨hal-01246347⟩

Share

Metrics

Les métriques sont temporairement indisponibles