Abstract
By distributing the concentrated singularities such as a Kelvin doublet along the axis of symmetry we describe the displacement field, in an elastic medium, for various modes of rotation and translation for a rigid prolate and oblate spheroid. The limiting cases of a sphere, a slender body and a thin circular disk are also discussed. All the solutions are presented in a closed form.
Résumé
En distribuant les singularitées concentrées, comme par exemple un doublet de Kelvin, le long des axes de symetrie, nous décrivons le champs de déplacement en milieu élastique, pour divers modes de rotation et de translation d'un ellipsoide rigide, oblong ou prolong. Les cas limites d'une sphère, d'une aiguille et d'un disque circulaire mince sont aussi discutés. Toutes les solutions sont presentées sous une forme fermée.
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Kanwal, R.P., Sharma, D.L. Singularity methods for elastostatics. J Elasticity 6, 405–418 (1976). https://doi.org/10.1007/BF00040900
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DOI: https://doi.org/10.1007/BF00040900