On a Class of Oscillations in the Finite-Deformation Theory of Elasticity
Résumé
This paper treats the large-amplitude radial oscillations of a perfectly elastic, incompressible cylindrical tube of infinite length due to suddenly applied pressures on its lateral surfaces. The motion is studied for materials with essentially arbitrary strain-energy density. Sufficient conditions for periodic motions and a formula for the period of oscillation are given in terms of the strain energy. The results are specialized to the case of a rubberlike material of Mooney type, and asymptotic formulas are given for the case of a thin shell and for /he case of small applied pressure.
Domaines
Sciences de l'ingénieur [physics]Origine | Fichiers éditeurs autorisés sur une archive ouverte |
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