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Modélisation de fissures elliptiques internes par hybridation de fonctions de poidsEmbedded elliptical cracks modeling with hybridization of weight functions
Authors:Brahim El Khalil Hachi,Said Rechak,Mohamed Haboussi,M&#x  barek Taghite
Affiliation:1. Département electromécanique, centre universitaire de Djelfa, BP 3117, Ain-Cheih 17000, Djelfa, Algérie;2. Laboratoire de génie mécanique et développement, École nationale polytechnique, BP 182, El-Harrach 16200, Alger, Algérie;3. Laboratoire d''énergétique et de mécanique théorique et appliquée (LEMTA), UMR 7563 CNRS INPL-UHP, BP 160, 54504 Vand?uvre-lès-Nancy, France
Abstract:A method improving the evaluation of the stress intensity factor by hybridization of two weight functions is presented and applied to embedded elliptical cracks under various loadings. The hybridization consists in using one or the other function in the zone of the crack where it is the most efficient. The delimitation of the two zones is achieved after optimizing the axes ratio and the curvature radius of the crack. During this optimization we seek to reduce the effects of the singularities present in the weight functions as well as to take better into account the influence of the ellipse curvature. To cite this article: B. El Khalil Hachi et al., C. R. Mecanique 334 (2006).
Keywords:Mécanique des solides numérique  Hybridation  Fonction de poids  Facteur d'intensité de contrainte  Fissure elliptique interne  Computation solid mechanics  Hybridization  Weight function  Stress intensity factor  Embedded elliptical crack
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