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International Journal of Fracture 136, 1-4 (2005) 37--73

Edge Stress Intensity Functions in Polyhedral Domains and their Extraction by a Quasidual Function Method

Zohar Yosibash 1, Netta Omer 1, Martin Costabel 2, Monique Dauge 2

(2005)

The solution to elastic isotropic problems in three-dimensional (3-D) polyhedral domains has an explicit structure in the vicinity of the edges. This structure involves a family of eigen-functions with their shadows, and the associated Edge Stress Intensity Functions (ESIFs), which are functions along the edges. For the extraction of ESIFs, we apply the Quasidual Function Method, the theoretical fundation of which is due to a former work by MC, MD and ZY. This method provides a polynomial approximation of the ESIF along the edge whose order is adaptively increased so to approximate the exact ESIF. It is implemented as a post-solution operation in conjunction with the p-version finite element method. Numerical examples are provided in which we extract ESIFs associated with traction free or homogeneous Dirichlet boundary conditions in 3-D cracked domains or 3-D V-Notched domains. These demonstrate the efficiency, robustness and high accuracy of the proposed quasi-dual function method.

1 :	Department of Computer Science
	Ben-Gurion University of the Negev
2 :	Institut de Recherche Mathématique de Rennes (IRMAR)
	CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne

Équipe de recherche : Analyse numérique

Domaine

:

Mathématiques/Analyse numérique Sciences de l'ingénieur/Mécanique/Mécanique des structures Physique/Mécanique/Mécanique des structures

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Contributeur : Monique Dauge <>

Soumis le : Lundi 17 Octobre 2005, 17:16:10

Dernière modification le : Mercredi 6 Mars 2013, 15:39:17