Abstract
A circular disc of radius a, made of homogeneous, isotropic, linearly elastic material, contains a radial edge crack of length b. The disc is rotating with constant angular velocity about an axis through its centre and perpendicular to its plane. The problem of determining the resulting stress and displacement fields throughout the disc is solved (within the two-dimensional linear theory) exactly and in closed form. In particular the stress intensity factor and the crack opening displacement are evaluated for both the plane stress and plane strain cases with any crack length b (0<b<2a) and any values of the elastic constants.
Résumé
Un disque circulaire de rayon ”a„, en un matériau homogène, isotrope et élastique linéaire, comporte une fissure radiale de bord de longueur ”b„. Le disque tourne à vitesse angulaire constante autour d'un axe normal passant par son centre dans les limites de théorie linéaire à deux dimensions. On résout le problème de la détermination des champs de contraintes et déplacements dans le disque, sous une forme exacte ou sous une forme fermée. En particulier, le facteur d'intensité de contraintes et la COD sont évalués en condition d'état plan de tension et d'état plan de déformation pour toute longueur de fissure comprise entre 0 et 2a et pour toute valeur de constantes élastiques.
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Gregory, R.D. The spinning circular disc with a radial edge crack; an exact solution. Int J Fract 41, 39–50 (1989). https://doi.org/10.1007/BF00014836
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DOI: https://doi.org/10.1007/BF00014836