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Dislocation layers applied to moving cracks in orthotropic crystals

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Abstract

In this paper, we consider loaded Griffith-type strip cracks moving in orthotropic crystals using the powerful method of dislocation layers. Expressions for the components of the stress fields created are obtained in closed forms and some representative numerical results are given. The applications of the method to the BCS model of moving cracks with plastic flow are briefly discussed.

Résumé

Dans cet article, nous traitons des fissures sur ruban chargé de type Griffith se déplancant en cristaux orthotropiques utilisant la puissante méthode de couches de dislocation.

Des formules pour les composantes des domaines chargés qui sont crés, sont obtenues en formes fermées et quelques resultats numériques représentatifs sont donnés. Les applications, au modèle BCS, de cette méthode de fissures mobiles avec écoulement plastique sont brièvement discutées.

Zusammenfassung

In diesem Referat handelt es sich um geladene Bänderrisse des Griffith-Typus, die sich unter Anwendung der kraftvollen Methode der Schichtenverschiebung in orthotropischen Kristallen bewegen. Ausdrücke für die Bestandteile der erzeugten Kraftfelder werden in geschlossenen Formen ermittelt und einige typische, zahlenmässige Ergebnisse ingegeben. Die Anwendungen der Methode auf das BSC-Modell der sich bewegenden Risse mit plastischem Fluss werden auch kurz erörtert.

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Tupholme, G.E. Dislocation layers applied to moving cracks in orthotropic crystals. J Elasticity 4, 187–200 (1974). https://doi.org/10.1007/BF00049264

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  • DOI: https://doi.org/10.1007/BF00049264

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