Abstract
The calculation of stress intensity factors for complicated crack configurations in finite plates usually presents substantial difficulty. A version of the finite element method solves such problems approximately by means of special cracked elements. A general procedure for evaluating the stiffness matrix of a cracked element is developed, and numerical results obtained by the simplest elements are compared with those provided by other methods.
Résumé
Pour une plaque finie et une configuration de fissures compliquée, le calcul des coefficients d'intensité de contraintes s'avère normalement difficile, voire pratiquement impossible.
Toutefois, une variante de la méthode des éléments finis permet de résoudre ce genre de problèmes de façon approximative moyennant l'adoption d'un élément fissure.
Dans cet article l'auteur développe une méthode générale permettant d'évaluer la matrice de raideur d'un élément fissuré.
Ensuite il procède pour des éléments simples à une comparaison des résultats numériques obtenus respectivement par d'autres méthodes et par la sienne.
Zusammenfassung
Die Berechnung von Spannungsintensitätsfaktoren für komplizierte Rißgefüge in endlichen Platten bereitet gewöhnlich erhebliche Schwierigkeiten. Fine Variante “finite element method” löst annähernd solche Probleme mit Hilfe von spezieller gerissenen Elementarteilen.
Es wird ein allgemeines Verfahren zur Ermittlung der Steifheits-Matrix eines gerissenes Elementarteilchens aufgestellt. Die numerischen Ergebnisse welche mit den einfachsten Elementarteilen bestimmt wurden, werden mit den nach anderen Verfahren erzielten Ergebnissen verglichen.
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Byskov, E. The calculation of stress intensity factors using the finite element method with cracked elements. Int J Fract 6, 159–167 (1970). https://doi.org/10.1007/BF00189823
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DOI: https://doi.org/10.1007/BF00189823