Thin viscoelastic disc subjected to radial non-stationary loading
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Date issued
2010
Authors
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Journal ISSN
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Publisher
University of West Bohemia
Abstract
The investigation of non-stationary wave phenomena in isotropic viscoelastic solids using analytical approaches is
the aim of this paper. Concretely, the problem of a thin homogeneous disc subjected to radial pressure load nonzero
on the part of its rim is solved. The external excitation is described by the Heaviside function in time, so the nonstationary
state of stress is induced in the disc. Dissipative material behaviour of solid studied is represented by
the discrete material model of standard linear viscoelastic solid in the Zener configuration. After the derivation
of motion equations final form, the method of integral transforms in combination with the Fourier method is used
for finding the problem solution. The solving process results in the derivation of integral transforms of radial and
circumferential displacement components. Finally, the type of derived functions singularities and possible methods
for their inverse Laplace transform are mentioned.
Description
Subject(s)
tenký disk, radiální zatížení, nestacionární napjatost, viskoelasticita, analytické řešení, Laplaceova transformace
Citation
Applied and Computational Mechanics. 2010, vol. 4, no. 1, p. 5-14.