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A hybrid element approach to three dimensional problems of cracked anisotropic multi-material

type de publication      article dans une revue internationale avec comité de lecture
date de publication 2009
auteur(s) Magnier Vincent; De Saxce Géry
journal (abréviation) Finite Elements in Analysis and Design (Finite Elem Anal Des)
volume (numéro) 45 (5)
  
pages 377 – 385
résumé This work deals with the extraction of stress intensity factors in the three dimensional problems. In order to have a good estimation of them, a special class of mixed finite element, named “Metis” element (mongrel element), coupled to a code evaluating overstress, is used. After a brief explanation of the asymptotic model leading to stress/displacement in the vicinity of a delamination crack or a singular line at the junction between different materials, a simple and accurate numerical method is proposed. Next, the singular part is included in Metis element to estimate simultaneously the structural variables and the stress intensity factors. Finally, a numerical example on a bimaterial is illustrated and compared with a case found in the literature.
mots clés Fracture mechanics; Stress intensity factor; Hybrid finite element; Multi-material
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