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An incompatible singular elastic element for two- and three-dimensional crack problems

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Abstract

A new 3 node singular finite element has been derived. This element is incompatible and has to be used in conjunction with incompatible 4 node quadrilateral elements. An extension to three dimensional problems is also presented. This element is used to compute the stress intensity factor along the crack border in a wire with a semi elliptical surface crack subject to tension and for a large variety of elliptical shapes.

Résumé

On a établi un nouvel élément fini á trois nodes, de caractère incompatible, et devent être utilisé de concert avec un élément quadrilatéral à quatre nodes. On présente également une extrapolation à des problèmes tridimensionnels.

Cet élément est utilisé pour calculer le facteur d'intensité de contraintes le long du bord d'une fissure dans un fil, en considérant une fissure de surface semi-elliptique soumise à traction, et dans le casa d'une grande variété de formes elliptiques.

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Authors and Affiliations

  1. Physics of Materials Department, E.T.S.I. Caminos, Polytechnical University of Madrid, Ciudad Universitaria, 28040, Madrid, Spain

    M. A. Astiz

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  1. M. A. Astiz
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Astiz, M.A. An incompatible singular elastic element for two- and three-dimensional crack problems. Int J Fract 31, 105–124 (1986). https://doi.org/10.1007/BF00018917

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  • DOI: https://doi.org/10.1007/BF00018917

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