We study the oscillations of a spherical shell of a rate-type viscoelastic solid subject to a pressure difference between the inner and the outer surface. The stable equilibrium configurations, in the class of spherically symmetric deformations, correspond to the minima of the elastic energy function. Numerical simulations indicate that the way in which the equilibrium state is reached, strongly depends on the material parameters.
Vibration of an Incompressible Viscoelastic Shell of Rate Type / Angiolo Farina, Lorenzo Fusi, Fabio Rosso, Giuseppe Saccomandi. - In: ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK. - ISSN 0044-2275. - ELETTRONICO. - (2022), pp. 0-0. [10.1007/s00033-022-01703-1]
Vibration of an Incompressible Viscoelastic Shell of Rate Type
Angiolo Farina
Methodology
;Lorenzo FusiInvestigation
;Fabio RossoMethodology
;
2022
Abstract
We study the oscillations of a spherical shell of a rate-type viscoelastic solid subject to a pressure difference between the inner and the outer surface. The stable equilibrium configurations, in the class of spherically symmetric deformations, correspond to the minima of the elastic energy function. Numerical simulations indicate that the way in which the equilibrium state is reached, strongly depends on the material parameters.
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